diff --git "a/data/dm_maths/full_data_1/10237_11255.jsonl" "b/data/dm_maths/full_data_1/10237_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10237_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b be 1*(1 - (0 + 2)). Let q be 34\/(-8)*4\/b. Is q - (18\/3)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -564.\nAnswer: -11\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.04? (a) 1 (b) 14\/25 (c) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396378 is divided by 36025?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-8)\/24 + (150\/(-375) - (-106)\/15)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)*z\/z**4*((z*z**(-1)*z)\/z)**36)**(-33) assuming z is positive.\nAnswer: z**(759\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 0, 7\/3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74 + 0?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.375 and 1.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1796*w - 4*w**2 - 1796*w)*(1 + 0 - 2)*(22 + 6*w - 22) + 0*w**3 + 0*w**3 - w**3.\nAnswer: 23*w**3 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120.01 - 1.29. Let x = v - -117. Round x to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3275206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/475500 and 181\/300.\nAnswer: 475500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(162)*3 + 0)*4 - -5*(5 + 2*sqrt(162) + sqrt(162))*-2)*4)**2.\nAnswer: 777600*sqrt(2) + 7598272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/10 + 1668*a**4\/5 + 10063*a**3\/10 - 76773*a**2\/5 - 80136*a\/5 = 0. What is a?\nAnswer: -8, -1, 0, 6, 3339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 192*o. Let s(l) = 249*l**2 - 84*l**2 - 89*l**2 - 82*l**2. Determine s(b(q)).\nAnswer: -221184*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752801072.\nAnswer: 2, 3, 11, 19, 174721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 10*j**2 + 14*j + 11. Let u be w(9). Is (-4)\/21*-18708 + (-24)\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 98, 154, 232, 332, 454?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1365078\/104 - (-18)\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1389 or 1388?\nAnswer: 1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 0 + 0 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -26\/51*z**3 - 3\/17*z**2 - 11 + 0*z - 2\/17*z**4. Factor o(p).\nAnswer: -2*p*(p + 3)*(4*p + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 110 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 5.5736.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -d - 7, -2*d - 3*u = -33 + 2. Let v = 3 + -3. Suppose -4*k + 0*k + d = v. Let n(a) = -2*a**2 + a. Determine n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 48 - 8 - 17) + (1 - -5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24805 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2. Let x(v) = v**2 + 6*v + 4914. Give x(w(j)).\nAnswer: 9*j**4 - 18*j**2 + 4914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -6, 251, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = 6. Solve t + 3 = -w*m + 6, -4*t = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*o = o - 75, -5*b - 5*o = -45. What are the prime factors of (-59)\/(-7) - 6\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55062384 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 7 = 7*w, 0 = -78*w + 77*w + 10*f - 11*f + 47 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 64 = 21. Calculate the least common multiple of (-7)\/(21\/(-6))*y and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l + k = 70, -k = -l + 8. Suppose -54 - 131 = -5*p. Calculate the remainder when p is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-16)\/(-336))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 20. Let u be 6\/8 - 3*x\/84. Suppose 0 = 4*l - 54 + u. Solve l*n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0731 + 0.0731. Let t = 5 + -3. Which is the third biggest value? (a) 4 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 - 16 = 5*j + 2*q + 24, -5*q + 47 = 2*j for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d**4 - 3*d**4 - 2*d**4 + (d**3 + 0*d**3 - 2*d**3)*(-3*d + 2*d + 3*d) - 2 - d**4 + 2)*(-d + 3*d - d) - 2*d**5 + 2*d**5 + 2*d**5.\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2572?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -524*u + 528*u + 14, -5*t - 5*u = -2*t - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let h be (p - -1)*(3 - 4). Suppose h = -4*b - 2*w + 38, -5*b - 3*w - 53 = -10*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = -48. Let q = -9 - s. Let t be 1\/(1 - 6\/q). Solve 3*m = t*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 46. Calculate the remainder when 47 is divided by ((-4)\/(-5)*-1)\/(g\/(-60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58499921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*q**2 - 63*q**2 - 60*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r + 11*r - 25*r + 8*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 13247.\nAnswer: -13246.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 20. Let y be d\/(-4) + 3\/(-4). Which is the second biggest value? (a) y (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-30)\/(-5))\/(-6)*-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.0421 - 0.0421. Which is the second smallest value? (a) -200 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2911.72 centuries?\nAnswer: 291172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (0 + -4 - -21) + -19 + -3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (408\/374)\/(81\/297)*5\/(-18)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 190584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a + 61. Let v = -71 - -42. Let g be w(v). Suppose 53*t + g = 52*t. What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/(4\/(-260)*-10). Suppose -2*w + 18 = -4*x, 0 = -4*w - x + 5*x + 28. Find the second derivative of 7*d**5 - d**w + a*d + 3*d**5 - 337*d wrt d.\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x. Let f(l) be the third derivative of l**4\/8 + 155*l**3\/6 + 5596*l**2. Determine c(f(m)).\nAnswer: 39*m + 2015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2129678 or 2129677?\nAnswer: 2129678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 392555429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.910766 micrometers in kilometers?\nAnswer: 0.000000008910766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*z - 3, -5*n - 30 = 87*z - 90*z. Solve 5*g - 4*g - 10 = z*k, 0 = -2*k + 4*g + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*(-376)\/(-47)*9\/12*4\/18.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbz when three letters picked without replacement from zhzbzzhhzmzz.\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 9. Let o be f(7). Suppose 12 = o*w + 2*w. Suppose 3*z - 40 = -4*v, -w*v = v - 2*z - 40. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.004ml in litres?\nAnswer: 0.540004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*z**3 - 4)*(-3*z + z + 0*z) - 3*z**4 + z**4 + 0*z**4 + z**4 + 2*z**4 - z**4 - 15*z**3 + 15*z**3 - 2*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-24)\/(-26)) + (-3)\/2. Suppose 0*h - r*h = -3*n - 9, n = -5*h + 17. Suppose 577*l**3 + 4*l + 0*l**n - 6*l**2 - 575*l**3 = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 9*(-20)\/(-90). What is the nearest to 0.17 in -1\/4, -0.4, -3, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1033?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.685 and -69.\nAnswer: 47.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2 + 1\/2*u**2 + 0*u = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.01 - 0.09. Let n = 2.9 - r. Let k = 1.68 - 4.68. Put 0.1, k, n in decreasing order.\nAnswer: n, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 166*j**2 + 9*j + 38. What is the units digit of c(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2111 = 4*n - 117, 414 = r + 3*n. Let v = 1341 - 1337. Suppose 2*g - 6*g + r = 5*c, -v*c = 4*g - 324. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.22 + 0.02. Let y = -3.8 + u. Which is the nearest to -1? (a) -2\/9 (b) -2\/13 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 - 1307*m**4 + 12983*m**3 - 16801*m**2 - 77784*m - 46692 = 0. What is m?\nAnswer: -1, 6, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170632 is divided by 801?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 20, -3*w - 3*g - 2*g = 16. Let r = w + -16. Let x(i) = -3*i + 7. Is x(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0381 + 3.9619. Sort w, 0.703, -0.4 in ascending order.\nAnswer: -0.4, 0.703, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343*x**3 + 176*x**2 - 205127*x?\nAnswer: -2058*x + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-7\/2)\/c)*c)**(2\/77) assuming c is positive.\nAnswer: c**(13\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.89658 litres in millilitres?\nAnswer: 11896.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 + 7750*s**2 + 8950*s + 6 wrt s?\nAnswer: -6*s + 15500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-29)\/(-6) - 4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 539441.0507 + -539513. Let s = 77.947 + y. Let z = s - 6. What is z rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/20 + k**3\/6 - 64*k**2. Let m(b) = 5*b**3 + 1. Determine -3*m(j) + 2*y(j).\nAnswer: -3*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 + 0 = 4*s, 2*s = 3*t - 14. Suppose q + t*q = 55. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146 - (-172 + 22)) + (-1 + 1 - (-1 + -36))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + f + 6. Let b = -24 + 24. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1543 + -2?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 793*b - 4083*b - 1 + 8*b to d*b + c and give d.\nAnswer: -3282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*k - 13545 = 297*k + 152*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -571.2, 2\/21, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2337*g**2 - 2348*g**2 + 38 + 4651*g**2 in the form p*g + k*g**2 + s and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501689.056 rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -7) + 988\/(-78)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*w - 4, 2*y + w - 4*w = 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o**2 + 13*o**4 + 14 - 9*o**4 - 26*o**2 - 13 - 655*o - 6*o**4 in the form c*o**4 + f*o**3 + u*o**2 + m*o + b and give m.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:56 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 4. Let y(z) = 1. Let u(m) = b(m) - 4*y(m). Let t(j) be the second derivative of -53*j + 0*j**2 + 1\/12*j**4 - 2 + 0*j**3. Calculate u(t(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*l**4 - 2*l + l**2 - 2*l**3 + 2*l**3 + 8 + 3*l**3 + 378*l**4 - 188*l**4 to the form c + q*l**2 + f*l + v*l**3 + s*l**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*q = -40, 3*i + 17 = -2*q + 76. Solve -4*f - i = -w, 20 = 4*w - 3*f + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 52, 39, -12, -6 in increasing order.\nAnswer: -12, -6, 15, 39, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 4*h + h. Let a = h - -50. What is the lowest common multiple of a and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h + 3. Suppose t + h*b - 242 = 42, -1036 = -4*t + 5*b. Suppose 0*f + 6*f - t = 0. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -19*u**2 + 6*u. Let p(c) = 376*c**2 - 125*c + 9. Let g(y) = 3000*y**2 - 1000*y + 75. Let m(j) = -3*g(j) + 25*p(j). Determine 125*l(h) + 6*m(h).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -184? (a) -2\/9 (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8935 minus -5?\nAnswer: -8930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from {u: 3, i: 1, r: 4}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let i(b) = -13*b**2 + 4*b**2 + 8*b**2. Determine i(l(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7686860 (base 9) to base 2\nAnswer: -1111110000110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7020451 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91.2526 - -90.2526. Let k = -0.46 + 0.4. Which is the nearest to 1\/5? (a) 4 (b) k (c) y (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -7) + 5 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/13 + (-4)\/(-26). Suppose 0 = -5*t - s + 182, -3*t + 76 = -t + x*s. What is the lowest common multiple of t and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24578*n - 15790*n = 1063348 for n.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -493 + 523. What is the remainder when 48 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-140)\/(-168) - (-1)\/2. Let l(t) be the first derivative of 0*t - 1\/2*t**4 + 0*t**2 - 4 + j*t**3. What is the third derivative of l(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/360 + 7*f**4\/12 - 2*f**2 - 38*f. Let h(r) be the third derivative of o(r). Let g(u) = 3*u. Give g(h(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 686962762 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u, -9*u - 2*u = -2*v - 10*u - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is bc (base 14) in base 2?\nAnswer: 10100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324673\/13434 - -3\/2239. What is the common denominator of -23\/10103 and z?\nAnswer: 60618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 89*2*(-63)\/(-42). Let i = 327 - n. What is the highest common divisor of 90 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -247458 and -439847?\nAnswer: 192389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2578 and 11647?\nAnswer: 11646.7422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, 8, 42, 76?\n\"Answer: 34*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 209 (b) -5\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 203, 193, 179?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 583 - 42?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8541 and 4563.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -13) + 0 - (231 + -231)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -26*c + 152*c - 17*c + 38*c**3 + 15*c**3. Let x(d) = 54*d**3 + 108*d. Let p(z) = -6*x(z) + 4*y(z). Find the second derivative of p(q) wrt q.\nAnswer: -672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 24*l**2 + 50*l + 60. Let a(m) = 5*m**2 + 10*m + 12. Let y(u) = -14*a(u) + 3*x(u). Let s be y(-8). Calculate the greatest common factor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 659 = 59. Let v = 67 - -121. Let b = v + d. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12996.603 microseconds to hours.\nAnswer: 0.0000036101675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*p**2 + 66*p**2 - 82*p**2 in the form b*p**2 + a + d*p and give b.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*q - 12, -115 + 127 = 4*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j - 3. What is f(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - g + 77760 = 0, 5*g - 31 = -11. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 106*g + 22695. What is m(-210)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 57*p + 41*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**2 - v + 2. Let z(k) = k**3 - 3*k**2 - 4*k + 3. Let w be z(4). Let j be (4\/w)\/((-2)\/9). Give u(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270490?\nAnswer: 2, 5, 11, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 16*s - 18. Suppose 5*w - 59 - 12 = -3*g, -28 = -2*w - g. Does 4 divide z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {i: 3, n: 2, h: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 - 95584*a\/11 - 95582\/11.\nAnswer: -2*(a + 1)*(a + 47791)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065783 a multiple of 1691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - 19\/76. Suppose s - 3 = -5*u, l = 2*u - 7*u - 5. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -26. Let y = f + 25. Is 2 + 3\/3*y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 9 - 12 = 0. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab77 (base 12) to base 8.\nAnswer: -115413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 + 17*o - 15. Determine g(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 5*x + 34 - 13, -21 = 5*y - 4*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01398 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j**2 - 356*j - 2285. What is g(-14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (794\/(-5955))\/((-2)\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-61)\/(366\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:44 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*x - 212 + 38, -5*x = b - 314. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.53832189 + 171.46159711. Let c = 157.4 - -15.6. Let b = c - o. Round b to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -940*v - 8136. What are the prime factors of p(-50)?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(-3) + 2\/6. Let x(l) = l**3 - 2*l**2 - 33*l - 62. Let f be x(10). Suppose 456 = m*z - f. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 43 = m. Suppose 2*x + 9 = m. Calculate the least common multiple of x\/(-35)*(-1 - 24) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(1 + 13\/(-2)). Let f = 16 - m. Solve 0 = -4*l - 3*z - 35, l + 28 = -f*z - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2. Let k(n) be the first derivative of 5*n**2\/2 + 6*n + 3. Let p(w) = w + 1. Let q = -3 + -3. Let r(a) = q*p(a) + k(a). Give i(r(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 3*z - 6*z + z - 1 + 1 + (2*z + 3*z - 4*z)*(1 - 1 + 2) + 101*z - 1581 + 1581)*(-2 + 4 + 0) to i + o*z and give o.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.03 (b) -3\/7 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4571 (base 8) to base 6.\nAnswer: 15121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6349671.5351 + -0.09?\nAnswer: -6349671.6251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2*5\/(60\/(-21)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 0*g - g + (-1 + 1 - 2*g)*(1 + 2 - 2) + g - g - g + 101*g + 74*g + 121*g - 9*g.\nAnswer: 282*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12*g + 0 = -2*d + 2*d - 10, 6*g + 4*g = 30 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -864.\nAnswer: -5\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - 5*u - 2. Let f be i(5). Let x be (12\/f*1)\/(-1). Let l = -3.65 + 1.65. Which is the second biggest value? (a) l (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 540818*h\/7 + 2163240\/7.\nAnswer: 2*(h - 270405)*(h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and -2.5907236?\nAnswer: -0.492237484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 178\nAnswer: -14\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4, 10, -5, 1\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpjpjwjwflpwwpbjwjw. Give prob of picking 2 b and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -186 and 0.05.\nAnswer: -185.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 8. Let y be b(-5). Suppose -5*r + 8*r + 6 = 0. What is the remainder when 11 is divided by r\/3 - y*(-52)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -28. Suppose -5*y - 15 = 2*r, -5*y = r - 5*r + 15. Suppose r = b - a - 4. Solve 18 = -b*q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4475 - -5393. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*t = -5*s - 21, 2*s = -3*t. Suppose 0 = k - 3*x + 5, 0 = k + 3*x - 3 + 2. Let r = k - -2. Solve -t*f + 4 = -r*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c - 2*c)*(2*c**4 - c**4 - 6*c**4) + (2*c**3 - 4*c**2 + 4*c**2)*(-2*c**2 - c**2 + 4*c**2).\nAnswer: 17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/42 + 612\/567.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 18*h - 29. Let f be g(-16). Let n = -3 + 3. Factor -1\/4*q + n + 1\/2*q**2 - 1\/4*q**f.\nAnswer: -q*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 6, 774 - 724 = 2*l - 3*u. Solve 2*h + 20 = -5*d, -8 = -4*h - l*d + 24*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (4 - -8 - (-22 + 155)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(3*sqrt(175) + -4 + -2)*-6)**2.\nAnswer: -2592000*sqrt(7) + 23198400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-4)\/((-72)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + -17 - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 h when three letters picked without replacement from rrhrggg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6 - 3. Let k(s) = s**3 + 6*s**2 - 5*s + 10. Let i be k(-7). Let r be i\/(-6) - 4338\/(-54). Calculate the highest common divisor of u and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034205.\nAnswer: 3, 5, 68947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4726, -4725, -4716, -4693, -4650, -4581, -4480, -4341?\nAnswer: -4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2696.34ng to micrograms.\nAnswer: 2.69634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 29*b + 8. Let o be j(6). Suppose -o*a + 112*a - 4 = 0. Solve -a*n - 5 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -840 - -841. Let b(y) be the third derivative of -y**5\/5 + y**4\/12 - y**3\/6 - 16*y**2. Determine b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = 4*i, 4*i = -5*c + 1 + 11. Is 13\/67 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*s + 1262*s + 794*s = 70636 - 20396 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -70*f**5\/9 - 46*f**4 - 454*f**3\/9 + 154*f**2\/3 + 524*f\/9 - 16\/3 = 0.\nAnswer: -4, -2, -1, 3\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428177368 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 5*a - 8*a + (1 - 4 + 2)*(a - 2*a + 3*a) + 3*a - 3*a + a)*(-27*a**2 - 39*a**2 + 32*a**2 - 2) to r*a + k*a**2 + u*a**3 + z and give u.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.65 rounded to one dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -97. Suppose -5*n + u = 16, -3*n - 16 = -a*n + 3*u. Let f be 4\/(-14) + n\/((-168)\/11898). What is f rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110719300 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)\/(4\/14). Suppose j = -2 + k. Suppose 4*w - 36 = 4*b, 0*w - b = j*w - 21. Solve 5*h + w = 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3476 rounded to the nearest ten?\nAnswer: -3480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*r + 4, 0*o + 2*o + 3*r = -6. Suppose o = 8*m - 4*m - 32. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/21182103 and -29\/1023290?\nAnswer: 211821030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-473)\/(-154) + 9\/(126\/(-35)). Which is the smallest value? (a) -279 (b) t (c) -0.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30210211 + 23012?\nAnswer: -30121133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g. Let j be a(5). Let z = j + -181. Let o = 158 + z. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046975 - 1048773 = 4*k + 58*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5549.\nAnswer: 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -7*w**5\/4 + 285*w**4\/4 - 361*w**3 + 381*w**2 + 140*w = 0.\nAnswer: -2\/7, 0, 2, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)**(-18) assuming a is positive.\nAnswer: a**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2882 + -2033. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/(1\/(-19)). Suppose a + 113 = 2*a. Let j = a + x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 583390 divided by -6\nAnswer: -291695\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 41 = -2*y - 3*y - 17, -6*y - 3*p - 69 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 781087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61808150 + 127419255. Let f be 0 - (3 + -2) - -39911106. Let n = f - i. What is n rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 + 1084*b**4 + 75220*b**3 + 289060*b**2 + 356776*b + 141856 = 0 for b.\nAnswer: -143, -124, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1331316716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1640 divided by 5\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-2 - -8) + (-1 - 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/4)\/((-1245)\/(-1328)). Sort -2\/5, 3\/5, 4\/15, 2\/13, n.\nAnswer: n, -2\/5, 2\/13, 4\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.038 - -0.038. Let p = -2\/47 + 61\/329. Which is the biggest value? (a) p (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*m + 9999*m**2 + 342*m - 9998*m**2 + 30*m + 382*m as x*m**2 + y + f*m and give f.\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 107324763 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 121557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:47 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*g - 6 - 179*g - 7*g**3 in the form o*g**2 + z + q*g + d*g**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088561 and -4.\nAnswer: -0.354244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18578340 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*z - 41*z - 46*z - 35*z - 44*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 - 68*x - 6*x**3 + 64*x - 7*x**2 + 4. Let s be i(-6). Let v(o) = -17122*o + 24. Let p be v(s). Round p to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 402523 or 402516?\nAnswer: 402516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -36*p - 36. What is t(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*1\/(-3))\/((-1)\/(-873)). Suppose -36 = 3*w - n. Suppose w = 3*l + 5*d, 3*l + 77 = -4*d + 457. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4\/(91\/(-924) - 6\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -8)\/(2\/(-16)). Let s(x) = x**2 - 28*x + 39. Let i = 174 - 147. Let d be s(i). What is the highest common factor of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4\/5 + 44*l**3\/5 - 30*l**2 = 0.\nAnswer: -25, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110.6 - -111.1. Suppose 0 = -5*n - 8 + 3. What is the third smallest value in n, -2, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 31 = -3*s, -5*s + 29 = -p - 10*s. Let c = p - -7. Solve -c*o - 9 = -0*t - 3*t, 3*o - 5*t + 11 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46996, 188048, 423138, 752254, 1175384, 1692516, 2303638, 3008738?\nAnswer: 3807804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/20 and 75\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -18\/13796215 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1485834708 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7 - 2) + 619)*(-6)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -4.4. Let d = 2.76 + s. Let z = d + -0.31. Round z to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30087 + 53294. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = -0*i. Let g = 12 + 19. Let m = 8 + g. What is the greatest common factor of m and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + 6*n)*(n + 0*n + n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, w: 2, j: 3, r: 1, v: 7}. What is prob of picking 1 w, 1 c, and 2 v?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovo when three letters picked without replacement from oueeeuvveveeoeu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 1018.\nAnswer: -1018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) 2\/7 (b) -0.736 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c. Let h(f) = f**2 + 4*f - 10. Let i be h(-5). Let o(g) = 4*g - 5. Let j(q) = 8 + 2 - 4 - 5*q. Let x(v) = i*j(v) - 6*o(v). Determine x(k(d)).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 252 = 448 - 250. Let i(j) be the first derivative of -11*j**3 - 42 + 0*j + 25\/2*j**4 + 0*j**b. Find the third derivative of i(f) wrt f.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.66 and 29.29.\nAnswer: -19.3314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-9)\/(-144))\/(2\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23796, 0.1, -89\/2, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 3*a - 112528*a**2 - 283354*a**2.\nAnswer: -395882*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -167 and -22989626.\nAnswer: -22989793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 5*o - 2. Let r be x(4). Let q be (-1)\/r - 1\/2. Is 40*q*3\/(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2868*a - 5731. Determine s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63675789.7 rounded to the nearest 10000?\nAnswer: 63680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p + 0*p)*(p + 1 - 1 + (-5 + 4 - 5)*(1 - 2*p - 1))*((-5*p**2 + 6*p**2 + p**2)*(p + 3*p - 3*p) + 3*p**3 + 4*p**3 - p**3 - 2*p**3 + 2*p**3 - p**3).\nAnswer: 182*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370196 = 3401*l + 875*l + 3137*l - 311800 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yivivyivyyi. Give prob of sequence ivyy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 18980646*h + 18980644 = 0 for h.\nAnswer: -9490322, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + v - 26 = 3*v, 4*v + 40 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:49 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054*c = -2036*c - 108 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 909 - 520. Let g be (-86 - -87)*(0 - 0). Suppose 7*x - h + 74 = g. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67190292*w**2 + 1145744*w + 48 = 0. Calculate w.\nAnswer: -6\/143569, 2\/117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38103543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88146854*j**4 - 5*j**2 + j + 16689783 wrt j.\nAnswer: 2115524496*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 78, -2, 1\/93 in ascending order.\nAnswer: -2, 1\/93, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/11 - (-1004)\/44. Let o = 0 + m. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/540 and 35\/162?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5810.9188 + -0.5812. What is y rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 33*p + 78. Is 11 a factor of q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p. Let v(k) = 15*k**2. Calculate h(v(g)).\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/72)\/((-32)\/(-24)*9\/144)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00431 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1774\/11 - -36503\/220. Let k = 6913\/2340 + 292\/117. Find the common denominator of k and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.168. What is r rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*u**5\/7 + 12*u**4\/7 + 148*u**3\/7 - 204*u**2\/7 + 16*u\/7 + 48\/7 = 0. Calculate u.\nAnswer: -3, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - a50?\nAnswer: -a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8605\/3438 + 5\/1719. Put -18, -5, -0.002, q in ascending order.\nAnswer: -18, -5, q, -0.002","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -5 - (sqrt(190) - sqrt(190)*-3)\/sqrt(10)) + -2.\nAnswer: -7 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -1\/10*s**5 - 11*s**2 - 1\/4*s**4 + 0*s - 1\/60*s**6 + 0 - 1\/3*s**3. Suppose p(i) = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -2.51. Let z = p + 2.6. Let s = 400 - 406. Which is the third biggest value? (a) 5 (b) 2 (c) s (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2114 - -354. Let u = -989 - k. List the prime factors of u.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 2*m + 58 = 0, -6*m + 13*m = 2*l + 43 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -7*i + 4*x - 30, 5*i = -4*x - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 6. Suppose 0 = -2*z + h, -3*z - 4939 = -4*v + 2*z. Find the common denominator of -29\/5 and -2 + 3 - v\/120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5277916*b*c**2*x**3 + 2*b*c**2 - 2*b*x**3 - b - 7*c**2*x**2 - 828707*c*x**2 wrt x.\nAnswer: 31667496*b*c**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.727 microseconds to milliseconds.\nAnswer: 0.002727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 16. Sort w, 2, -3\/5 in ascending order.\nAnswer: w, -3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4161504 by -346792.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17318 - 52300 = 6*h - 17393 - 17415 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 - 382383*p**4 - 12179948769*p**3 + 304728574683*p**2 - 292548243528*p = 0.\nAnswer: -63743, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 9 = -3*d, -4*b + 523*d - 26 = 526*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-146)\/2 - (-14 - 80\/(22 + -27))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066 take away -0.0488?\nAnswer: 0.1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30800 and 1672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x**(-5) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/5, -1, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - a + 14, -3*f = 2*a + 14 - 7. Let m(o) = 5*o + 3 + 4*o**2 + 2*o**2 - 4*o**2. What is the units digit of m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -2.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 136 = -3*b, 13 + 103 = 3*b + 5*z. What is the lowest common multiple of 31 and b?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)*h\/((h\/h**7)\/h)*(h*h**(7\/3)*h)\/((h*h\/h**(7\/3))\/h)*(h**(1\/4))**39\/(h**(-2)*h*h\/h**(6\/5)) assuming h is positive.\nAnswer: h**(1357\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 34162*k**2 + 170818*k + 2. Give z(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 - 698 = -7*o. What is the third derivative of -65*s**2 - o*s**5 + 67*s**2 - 63*s**2 + 2 wrt s?\nAnswer: -8460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111747541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = -4*k + 47362. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 - d - 13*d**2 + 2 - 5*d**5 - 11*d**3 - 6 + 17*d + 3*d**2 + 17*d**4 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -6. Let y = 13 - m. Put 0, y, -5 in increasing order.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 (base 10) in base 15?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220121211100 (base 3) to base 14.\nAnswer: c88a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (9 - 1) - (-37 + (83 - 36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 364, 985, 1854?\n\"Answer: 124*p**2 + p - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69395\/18 - -3862. What is the common denominator of a and -107\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/8)\/((-9)\/(-8)). Which is the closest to 1\/2? (a) v (b) -3 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39576091?\nAnswer: 39576091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2221?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (64 + -7)*((-15)\/(-9))\/5. Let f(q) = q**2 - 22*q + 61. Calculate the smallest common multiple of 12 and f(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*t - 3*a + 31, a - 5 = 0. Suppose 0 = -z - t. Is z bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78130776*j*l**2*y**3 + j*v**2*y**3 + 15*l**2*v**2*y - 6*l**2*y - l*v**2*y**3 - 196*l*v**2*y - 16*y**3 with respect to j.\nAnswer: 78130776*l**2*y**3 + v**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368159, 736316, 1104471, 1472624, 1840775, 2208924?\nAnswer: 2577071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 526 - 23. Is 53 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14830 is divided by 2471.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3686844344 - 2*g**3 - 3686844344.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023 + -1320230?\nAnswer: -1313202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*k - 2*p, 0 = 4*k - p - 3*p + 56. Sort 5, -2, k.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1415 (base 6) to base 5\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 38*t**2 - 184*t - 7. Determine q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 287*v**2. Let q(m) be the third derivative of -m**5\/30 + 58*m**2. Determine c(q(s)).\nAnswer: 1148*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 + 94*f**2 - 49*f + 65. Determine p(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/35 - (-30)\/7. Suppose -p*y - 61 = -5*s, -2*s + 39 - 15 = -2*y. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/165 and 6\/12199.\nAnswer: 182985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 2*r - 36 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -384588 less than -2741585?\nAnswer: -2356997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24873 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/21 - 247\/(-133)*(-2)\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 34. Find the third derivative of r*t**5 + 17*t**2 + 5 - 16*t**5 - 5 wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 + d**2\/2 + 63*d\/4.\nAnswer: -d*(d - 9)*(d + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965331 and 38835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -384 bigger than -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -363*h**2 + 27. Let w(a) = -52*a**2 + 4. Calculate 4*f(q) - 27*w(q).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 205402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-1 + 6 - 1)*(10*h**3 - 7*h**3 + 9*h**3).\nAnswer: -96*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000230691 to 7 dps.\nAnswer: 0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39435498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02748 in -1.1, 1, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (249\/(-913))\/((-32)\/44).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 440495.66 to the nearest 100.\nAnswer: 440500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*a + 12, a - 3*d = -4*a + 44. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 14. What is v(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 22*m - 5. Let k be i(2). Suppose 497 = 4*a - k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*i - 12*i**2 + 450*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000099554 to 6 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/24)\/(((-3)\/12)\/(-1)). What is the derivative of -1072 + 1097 - 61*c**w - 14*c**3 wrt c?\nAnswer: -225*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5239871 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-6))\/((-4774)\/151404)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392*c**3 - 4*c + 24.\nAnswer: 2352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h\/(h\/h**0)))**(-27)\/((h*h**(1\/2))\/h*h**(2\/21)))\/((h*h\/((h*h\/(h*h**(-12)*h)*h)\/h))\/((h**(-3\/5)*h)\/h))**(-12\/13) assuming h is positive.\nAnswer: h**(48397\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*t = 89*t - 1221528000. Round t to the nearest 100000.\nAnswer: -21800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = -17. Calculate the remainder when 2020\/30 + (-2)\/u is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (4 + sqrt(192)*2) - (5 + sqrt(192)*2) - (6*-1*sqrt(192) + -4)*5)**2.\nAnswer: 4752*sqrt(3) + 140089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 8 - 74 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -3*a + 102, 5*a - 167 = 2*s. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3))\/(z\/z**(1\/23)) assuming z is positive.\nAnswer: z**(-68\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8 and 55\/98534?\nAnswer: 394136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 2*j. Let c(r) = 4*r**3 + 12*r**2 - 4*r. Calculate c(k) - 2*h(k).\nAnswer: 4*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233478150216.99989 - 233480795271. Let l = 2645071 + a. Let m = 17 - l. What is m rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -7*d - 18*k + 14*k, 0 = -k - 2 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*k**2*n**3 + 2*k**2 - 3*k*n**3 - 187*k wrt k?\nAnswer: 128*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/9 and 67\/44424.\nAnswer: 44424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (4 - 7)*-2. Let g be 1\/(-8) - 28\/32. Let b(c) = 1. Let v(z) = z**2 + 4*z + 4. Let u(h) = g*v(h) + 4*b(h). Calculate u(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*t - 4216589 - 1083475 = 0. What are the prime factors of t?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (11 - 4) + 97 - 36.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let h be a(1). Let n be 4 - (h + 2)*-1. Suppose j + 56 = n*g + 2*j, 0 = -5*g + 5*j + 95. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 16.1. Let q = -0.9 + 1. Let j = o + q. Which is the closest to j? (a) -2\/9 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + 0.33. Let z = 50 + -52. Which is the closest to -0.1? (a) q (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s + 50 = 40*s. List the prime factors of 12\/30 + (-28215)\/s.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 4*w**2 + 5*w + 3. Let l be n(5). What is the third derivative of -6*i**6 + 4*i**6 - 9*i**3 - 2*i**2 + 9*i**l wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 568355330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 729*a - 906*a + 177*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {p: 10, i: 8, q: 1}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h. Let x(d) = d - 4. Let z be -4 + 2 + (14 - 4). Let a be x(z). Let p(v) = -4*v - a*v - 3*v. Determine 8*k(o) + 5*p(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 59*y. Let d(r) = -26*r. What is d(t(b))?\nAnswer: 52*b**2 - 1534*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690005423.\nAnswer: 157, 167, 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a - 228*a + 41*a + 43*a + 46*a + 55*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 28. Let n be j(31). Solve 0 = -2*k + q - n, 5*q + 18 = -3*k + 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -28.1. Let f = y - -34. Which is the closest to f? (a) -1 (b) 4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 26*h - 2. Let d be o(2). Suppose 20*m - 18*m = d. Sort 1, 3, m, -2 in descending order.\nAnswer: m, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12900521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1) + 12 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332.91 * 0.5.\nAnswer: -166.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4096 divided by 1024.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -174, -176, -176, -174, -170, -164, -156?\n\"Answer: r**2 - 5*r - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/6 - (-2262)\/468. Solve -5 = i + d*k, i + k - 12 = -17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/54058262 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/2147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42.59014 millimeters?\nAnswer: 0.04259014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -97*t - 75*t + 1088. What is the highest common factor of t and 3368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 + -228. Which is the third smallest value? (a) k (b) -13 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 316892969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 - 7*t - 2. Let l(f) = f**2 + 9*f - 6. Let o be l(-9). What is the units digit of j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -2b?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 0.0552?\nAnswer: -3.0552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2. Let h(p) = -8*p - 8*p + 10*p. Determine l(h(d)).\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 9796.\nAnswer: 29388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/240 and 7\/6420.\nAnswer: 25680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-24050)\/(-520))\/(4 + (-81)\/24)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6815 and 16380215.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144956 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2304*f**3 - f**2 - 4*f - 1. What is the hundreds digit of y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 618\/(-927) + (-19)\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q + 57. Let m(d) = -2*d**2 + 17*d - 1. Let p be m(8). What is the units digit of h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180.3 - -181. Let u = 8 + -6. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -12, -0.2, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/60 + 39*j**2. Calculate z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54902 is divided by 646?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, u: 3}. Give prob of sequence uut.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203\/260 - 2\/65. Let j(p) = -p + 7. Let y be j(3). What is the smallest value in y, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2598 + 5748. What is the highest common factor of 100 and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12798 + 2743. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*d**3 + 1098075\/7 - 1094445\/7*d - 3627\/7*d**2 = 0. Calculate d.\nAnswer: -605, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 13 + 29. Solve 0 = -d*k + 6*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -267, -1042, -2317, -4080, -6319, -9022, -12177?\n\"Answer: 2*v**3 - 262*v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -40030886 + 126693\nAnswer: -39904193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35716 = -276*h - 20536 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(6*u**4 + 22*u**4 - 78*u**4) - 3*u**4 + u**4 + u**4 + (-5*u + 3*u + u)*(-u**3 + 3*u**3 - u**3) + 2*u**4 + 2*u**4 - 8*u**4.\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 6*a + 9. Suppose -9*n - 8 = -26. Let y be p(n). Solve 3*r = 2*r - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 34*t**2 + 44*t - 29. Let u be c(10). Let o(k) = k**3 + 10*k**2 - 4. Let f be o(-5). Calculate the greatest common divisor of u and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 4 - 444*m**2 + 445*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -98 + -3 + 1 - (89 - (30 + 74))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lon when three letters picked without replacement from {n: 3, o: 5, s: 1, l: 3}.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:54 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -42 - (-1 + 0 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.57, 3, 10?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 2, -178?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - d = -5, -3*g - 2*d + 17 = -4*d. Suppose -3*w = 5*z - 4*z - 3, z - g = 2*w. Solve z*y - 3*s = 0, 0*s + 2 = -2*y + s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 2. Let w be d(2). Suppose 0 = 2*f - w + 2. Let l be (-2 + 10\/4)*8. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029176177 to six dps.\nAnswer: -0.000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 5. Let c(z) = 7*z**2 + z + 11. Suppose -1 = 12*v - 61. Determine v*d(q) - 2*c(q).\nAnswer: q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -240, -4, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89921782 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69.5576 and 14.4.\nAnswer: -1001.62944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 + -102.5. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 0.3, 3, -28732, -0.06, -5, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -9*c - 9*c + 2*f, -c - f = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - 10*p**2 + 15*p - 20. Calculate o(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*sqrt(1539) + 2 + (sqrt(1539) - (sqrt(1539) + 0)*-4) + (sqrt(1539) - (-2 + (3*sqrt(1539))**2)).\nAnswer: -13847 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 39*u - 460650 = -50*u. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 13) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, -2, 1855, -10, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -50, -2710 in ascending order.\nAnswer: -2710, -50, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20043743*w**2 + 8425431 with respect to w.\nAnswer: -40087486*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12 - 367257\/(-198). Suppose -y = -5*q + 425. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 24*r - 10283 = 40177. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6612 divided by 116.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13664\/244*(-21)\/(-56)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*y = 28*y - 139 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1261092130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**5\/20 + l**4\/6 + l**3\/2 + l**2 + l. Calculate the least common multiple of 2\/3 + 52\/3 and u(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 517538 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*y - 24*y**2 - 438*y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-10\/9)*w)\/w*w*w**11 assuming w is positive.\nAnswer: w**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81d08 (base 15) to base 13.\nAnswer: -1152a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -37*a**3 + 1628*a**2 - 3*a - 113. What is g(44)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 65\/3, -3\/2, 11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1280 greater than or equal to -1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -957, -1279, -1847, -2667, -3745?\n\"Answer: -d**3 - 117*d**2 + 36*d - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-1)\/(-3))*(5 + 34). Suppose -3*i + 9 = 3. Suppose -c + 1 = y - j, 3*c = -i*y + 38. Solve 3*r - 2 = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15078785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3014, -6066, -9154, -12278, -15438, -18634, -21866?\n\"Answer: -18*x**2 - 2998*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8554401890 and 0.08.\nAnswer: -8554401889.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*a + 3*a - 22, 2 = -2*a + 3*n. Solve 51*o = a*o + 172 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*c - 15, 3*c + 14461 = -a + 14476 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 1531*z**3 + z**2 - 1356*z**3 - 486*z**3 - 1.\nAnswer: -3373*z**3 - 5*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114326 is divided by 57134.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.267 + 0.2670031. Round m to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521\/5 - 4223\/40. Let d(h) = 3*h**2 - h + 2. Let k be d(2). Suppose 17*y - 20 = k*y, -s = 2*y - 6. Does l = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -462 + -5131?\nAnswer: -5613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*a*f**3 + a*f**2 + 456*a*f + 3*f**3 - 3*f wrt f.\nAnswer: 1140*a*f + 2*a + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - ((-58)\/667 - (-67)\/(-23)). Are m and -1\/711 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 70 = -3*h, -3*h - 5*r + 2*r = -69. Solve 18 = h*n - 70 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*f + 17, 54*f - 58*f - 16 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -13 - (29 + -44).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 9*q + 17*q + 7*q**3 - 3 - 6*q**2. Let c(l) = 11*l**3 - 9*l**2 + 17*l - 4. Let f(o) = -5*c(o) + 8*p(o). What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1300847 or -1300832?\nAnswer: -1300832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = 4*z, -v - 7 = z - 4*v. Let b = 11 + z. Suppose -5*t = 4*u - b*u + 20, 0 = u + 5*t - 20. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 14. Suppose c + 5 = 5*g. Find the third derivative of -20 + 2*v**2 + g*v**4 + 20 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162860 by -170.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -4 + (6 - (9 - 12)) + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12628.85982 + -12629. Round y to three dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 + 3\/2*c**5 - 141\/2*c**2 - 3\/2*c**4 - 60*c - 63\/2*c**3.\nAnswer: 3*(c - 6)*(c + 1)**3*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460 + -444. Suppose 10976 = 44*j - i*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 824 (b) -1 (c) 68\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 - 100\/20 - -2 and 89\/(-36) - 1\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(84) + (sqrt(84) - sqrt(84)*2 - sqrt(84)))\/sqrt(12) + -4*(0 + sqrt(7))*-3)*3*1)**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -96 * -4\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*u**3 + 8\/15*u - 22\/15*u**2 + 0 = 0. What is u?\nAnswer: -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 677835 and 30.\nAnswer: 1355670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by -218\nAnswer: 90\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -6. Let i = t + 7.3. Let d = -1.5 + 1. What is the third smallest value in i, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/30967?\nAnswer: -2\/30967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -148*n - 291. Let x be a(-2). Put -33, 6, x in decreasing order.\nAnswer: 6, x, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(3*i + 2*i**4 - 3*i)*(-50 - 145 + 74).\nAnswer: -242*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61255741\/7 or 8750820?\nAnswer: 61255741\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17967 is divided by 145?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 11*a + 20*a. Put a, -1, -9, 0 in decreasing order.\nAnswer: 0, -1, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240992, 482007, 723028, 964055, 1205088?\n\"Answer: 3*x**2 + 241006*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l**2 - 5*l + 22. Let t(b) = -18*b**2 - 8*b + 33. Let m(z) = -8*i(z) + 5*t(z). Differentiate m(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 3*v - 54. Let y be g(0). Suppose 4*j - 5*s + 22 = 3*j, -4 = 2*j - 2*s. Let p be (-232)\/(-234) + 4*j\/y. Is 0 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, 1910, -421 in increasing order.\nAnswer: -421, 2, 3, 5, 1910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 19. Put 0.09, j, 0.5, 2 in increasing order.\nAnswer: 0.09, 0.5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263321564 to the power of 1\/2, to the nearest integer?\nAnswer: 16227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57\/14587 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + 313140211352.\nAnswer: 313140211352.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355572428?\nAnswer: 2, 4861, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 + h + 1. Let v(k) = -2*k**3 - 3*k**2 + 5*k - 5. Let a(u) = -i(u) + v(u). Let b = 11 + -16. What is a(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11274316.06 rounded to the nearest 100000?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3633079 and 1962.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 70300699.13?\nAnswer: 70300695.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4159, 2129, 97, -1937, -3973?\nAnswer: -6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 5. Suppose 69*i = 30*i + 351. Let c(g) = -5*g + 11. Determine i*y(z) + 4*c(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604616994 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(170)*-3)\/sqrt(10) + -4*(sqrt(272) + -1)**2.\nAnswer: -1092 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -17298*t**5 - 130200*t**4 - 281456*t**3 - 120832*t**2 + 111584*t - 15488 = 0.\nAnswer: -4, -2, 22\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 685334 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**3 - 9*k**2 - k + 5. Let g(h) = 4*h**3 + 4*h**2 + h - 2. Determine 2*c(f) + 5*g(f).\nAnswer: 4*f**3 + 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*r - 23310 = 364*r + 383*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l**2 - l**2)*((l - 2 + 2)*(-1 - 5*l**2 + 1) + 2*l**3 - l + l + (1 - 1 - l**3)*(2 - 1 - 3)).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 31445238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.7 + -7. Let t = 0.7 - y. Let j be -2*1 + (-12)\/(-7). What is the second biggest value in t, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13897*d + 13894*d. Put -5, -871, -4, d in increasing order.\nAnswer: -871, -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/(i\/(i**(2\/5)\/i))*i*i**(-2\/17)*i**0 assuming i is positive.\nAnswer: i**(109\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 4, v: 2}. What is prob of sequence ee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23946 - -24017. Solve 17 = -b*a + 88*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2. Let b be u(-2). Suppose 0 = -3*y - 0*y + b. Suppose f + 3*f + 2*s = y, 0 = 5*f - 5*s - 15. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 - 69 - 21*t to q*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 12, 1\/17, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319.000211 + 319. What is v rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 13*u**2 + 6*u + 69. Give x(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - -1 - 11) + -836 + 886?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 2075, 7090, 16857, 32960, 56983, 90510?\nAnswer: 135125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -16. Suppose k*c + 1764 = 3*c. Suppose -g = -2*z + c + 383, -z + 490 = g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 5*n = 24. What is the smallest common multiple of 2 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 3*b**2 - 7*b + 7 - 3*b - 14. Let c be w(-7). What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 11 - 3. What is the derivative of -y**4 + t*y - 3*y + 2 - y wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3214 = 3*d - 3292 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339 - 4*t + 339 + 14*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -45 - (-109 + (2 - 0) - (-74 - -70)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = -r, -2*m + 2*r + 24 = -6*m. Let x = 3 + m. Calculate the common denominator of (-9)\/(x + 2) - 1 and -9\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 145*t - 1. Let z(x) = 2*x + 37. Give c(z(i)).\nAnswer: 290*i + 5364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 114*v + 2703. Let l be q(-75). Let s be ((-6)\/8)\/((-1)\/20). Let k be 26\/10 - (-6)\/s. Solve 2*w - 9 = -3*u, 3*w = -l*u - w + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 144844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4007 - 4007 + 45*u. Let r(s) = s. Let i(j) = -j**2 - 5*j. Let m(n) = -i(n) - 5*r(n). Calculate m(o(w)).\nAnswer: 2025*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 251*i**2. Let x(d) be the first derivative of -d**2\/2 + 46. Determine s(x(v)).\nAnswer: 251*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -222125 divided by 44425\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-4)\/(-8) + -1). Suppose -4 = 2*w + p - 14, -q*w - 3*p = -21. Solve a + 2*k + 5 = 0, -5*a - w*k - 1 = -k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 80 - 320 = 0. What is the remainder when l is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)*1)\/sqrt(10))\/((1*sqrt(44))\/sqrt(4)) + -3)**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -18. Suppose 4*z - 32 = 2*z. Calculate the remainder when 5\/10*(-116)\/s is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.7, 2\/13, 0.3, -0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359455 + 20984 = -6884*w - 25717 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 4, -0.04, -5, 0.3.\nAnswer: -5, -0.38, -0.04, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4363 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*j**3 - 537102*j**2 + 16139385*j - 121111200.\nAnswer: -3*(j - 15)**2*(13*j + 179424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287 - 49*i + 46*i - 82.\nAnswer: -3*i - 369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/19, -0.5, -18, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 6592?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + w + 26 = 0, 4*w - 20 = -w. Suppose 7*j + 1 = -y. Sort j, 13, 4.\nAnswer: j, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 5*i - 2*i + 12*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21097 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*d = 2, p - 1305*d = -1302*d + 13. Let x = 13 - 8. Let q = x - 7. Which is the nearest to 1? (a) p (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -14 - (137 + -139) - -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 381 = 1059. Are j and -88 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q + 0*q + 156*q**3 - 155*q**3 - 3*q - 8*q**2 + 10. What is p(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-15)\/18) + 90\/(-600)*38.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -6330?\nAnswer: -632e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 406655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h**3\/5 - 18*h**2\/5 + 12*h + 16\/5 = 0.\nAnswer: -4, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 181*a - 2313 - 402 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/4 - 8*l**3\/3 - l**2 + 33*l - 80. Let m be y(7). Sort m, 5, 1 in ascending order.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*l = 0, 5*o + 0*l + 7 = l. Which is the closest to -20? (a) 0.1 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:29 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 * -0.5\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-420))\/(630\/(-26460))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 85988 + 42994 + 42994.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a8 (base 13) in base 7?\nAnswer: 35342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 513*k. Let j(i) = -169*i**2. What is f(j(p))?\nAnswer: -86697*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 275956303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/13 - 58\/39. Let p = 0.04 - 9.04. Let k = p + 7. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 28 = -c - 3, -3*c + 4*q + 119 = 0. Let j = -25 + c. Is 7 a factor of 2\/2 + j\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4464\/3347 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*g - g - 931 - 47*g - 673 + 2*g**2 + (4*g - 4*g - 2*g)*(3 - 3 - 2*g).\nAnswer: 6*g**2 - 7*g - 1604","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 5 - -7)\/2. Let c(l) = 2*l**2 - 2. Let k be c(a). Suppose 0 = -k*v + 2*v + 3*y + 20, -14 = -v + 3*y. Solve 0*j = -j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/7)\/(((8\/(-42)*-3)\/2)\/(-6)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y)**(-3\/22)*(y**(3\/7)\/y)**(-2\/17) assuming y is positive.\nAnswer: y**(1159\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 15*b = 3*r - 9, 7*b = 2*r - 6. Let v be 2*3\/((-9)\/(-6)). Solve b = 11*h - 7*h + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/(b**(-1\/3)\/b))*b**(-2\/3))**(-3\/4) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1678 divide 19491648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -5\/422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 80377541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0381, 0, -0.1, -9 in decreasing order.\nAnswer: 0, -0.0381, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19796069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 29. Suppose 6*k = 10556 - 10502. Give g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00135751489 to 6 decimal places.\nAnswer: -0.001358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 161 = -t, -r = 3*t + 3*r + 451. Let l be t\/15 - 2\/(-3). List the prime factors of 3*(-39)\/l + 2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79889?\nAnswer: 79889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t - 3. Let i = 2 - t. Let y = -2 - -2. Sort i, y, 4 in increasing order.\nAnswer: i, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-8 - -6) + (-2 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*c - 24 = -3*u, 4*c + 16 = 0. Let v = -12 + u. Let j(f) = f + 1. What is the lowest common multiple of v and j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h. Let m = 34 + h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 38.000184. Round o to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49598 (base 10) in base 11?\nAnswer: 3429a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let x = g - 3. Let a = 1 + 1. Solve 0 = -m - a*s + 10, -m - 2*s = x*m - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -8) + -1 + 2 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51791.81 minutes in milliseconds?\nAnswer: 3107508600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 74. Suppose 0 = -2*m + w + 84. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - -128. Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/3, 14\/3, -4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x - 3*x**2 + 9*x**2 + 3*x + 4*x**2.\nAnswer: 2*x*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1014 = -2*w, -w = -2*u - 3*u + 2523. Let o = 540 - u. Calculate the highest common factor of o and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2460 and 12\/410*1518\/5520.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683595 to the power of 1\/2, to the nearest integer?\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1*(-2 + 3). Suppose c = 5*y - 4, b*c = 7*c - 5*y. Suppose -2*t + 36 = -0. Solve -5*v - 4*p = 16, 3*p - c = -5*v - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 455*o**2 + 37*o + 25 wrt o?\nAnswer: 910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2325063712288319 - 4*h**3 + 2325063712288319.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 78*v - 13. Let q(b) = 81*b - 13. Let h(m) = 5*l(m) - 6*q(m). What is the derivative of h(s) wrt s?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 321, 479, 639, 801, 965?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2571016010049 - -0.04.\nAnswer: 2571016010049.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39468 times -0.7\nAnswer: 27627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/96*(-11 - (-5 + -2)\/(195\/(-845))).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6518489 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: -3 + -3 + 6 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, i: 5}. Give prob of sequence ikk.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 1 - 11. Suppose 4*k - 4*j = 283980, 2*k - k = p*j + 70985. What is k rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -3. Let b be 1\/4 - (-33)\/q. Let o(c) = -c**2 + 5*c - 2. Determine o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*a)*(25*a - 30*a - 4 + 3)*(4 - 4 + 2).\nAnswer: -20*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Suppose 0 = d*b - 1 - 4. Let t be b*2*(-3 - -1). Let m(s) = 2*s**2 + 7*s + 5. Give m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31547, 31380, 31215, 31052, 30891, 30732?\nAnswer: 30575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/528 and 17\/792?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-497)\/3 - 30\/(-45). Let r = l + 264. What is the remainder when r is divided by 6\/(-30) - (-342)\/10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.41 + -34.410001701. What is k rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 = 5*t. Let y = 0.1 + -0.1. Let m = 0.017 + 0.083. Which is the closest to t? (a) y (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 126. Which is the closest to u? (a) 7 (b) 0.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let v(a) = -a + 1. Let q be v(0). Let w(p) = 4*p. Let u(z) = q*n(z) + w(z). Let o(k) = k + 5. Let x be o(-3). What is u(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -423, -425, -427?\n\"Answer: -2*y - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3145889 divided by 1\nAnswer: -3145889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.813623 to 2 decimal places.\nAnswer: 5.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 17*j - 34 = -298 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 = -4*n + 31, -3*a + 7 = -2*n. What is the third derivative of 260*d - 127*d + 62*d**2 + 14*d**n - 135*d + d**6 wrt d?\nAnswer: 120*d**3 + 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*k**4 - 245786*g*k**3 + g*k - 5*g + 2*k**3 - 5*k - 235 wrt k.\nAnswer: 24*g*k**2 - 1474716*g*k + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -9 + 27. Let u be 33430\/(-6) - (-3)\/v. Let a = 21372 + u. Round a to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2. Let y = 6 - 15. Let f(v) = -4*v**3 - v**2 - 9. Let p = -3 - -5. Let z(c) = p*f(c) + y*o(c). What is the third derivative of z(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95461?\nAnswer: 95461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 340013251?\nAnswer: -340013246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17484 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(-6) + (-19)\/57. Let g(t) = t**3 + 5*t**2 + t - 3. Give g(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/((-2)\/(-10)). What is the third derivative of y**4 - 4*y**2 + 0*y**5 - 3*y**j - y**4 wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (2\/(-6) + (-4)\/6). Suppose -6*f - 5*y = -3*f + 2, 5*y + 3 = -2*f. What is the greatest common factor of f and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90987*p + 169064 wrt p?\nAnswer: -90987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 15622, -5, 2, 452, -4 in ascending order.\nAnswer: -5, -4, 2, 452, 15622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/25)\/((-1)\/(-5)). Factor y**3 - 3*y**3 + 3*y**3 + 2*y**3 + 3*y + q*y**2.\nAnswer: 3*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -884*k + 11348. What are the prime factors of h(-42)?\nAnswer: 2, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 36089*i. Let j(q) = -q. Give k(j(o)).\nAnswer: -36089*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1890 - -2934. Solve 1039 - r = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1508*p**2 + 1508*p**2 + 26*p**3.\nAnswer: 26*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*v - 5*t, v = -0*t - 4*t. Let a = v + -3. Solve -a*d + 10 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 10) in base 14?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -537766877*b*i**2 + 6*i**2 + 8671762 with respect to b.\nAnswer: -537766877*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 8:16 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -57. Let g = -16 + r. Solve 2 = -u + g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 7. Let d = 209 - 162. Let s = d + m. Solve s*i - 4 = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 12*l + 34. Determine x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 826 in 0.4, -1\/19, 2, -4, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 9*q + 2. Let f be w(4). Calculate the highest common divisor of 112 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-4*(-4)\/16)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 14 - 1. Let i(k) = k**2 + 11*k + 32. Let s be i(w). Factor -1\/5*z + 0 - 1\/5*z**s.\nAnswer: -z*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Let j = y + -4. Which is the third smallest value? (a) j (b) 1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3038216, 12152859, 27343936, 48611447?\nAnswer: 75955392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8913167 and 0.5.\nAnswer: 0.94565835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91.9 + 92.4. What is the closest to 2 in p, -4, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 93*w**2 + 234*w - 133. Calculate k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 33.8?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 246*z - 2375. Determine s(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzzzzzzzzzazzzz. What is prob of picking 1 z and 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8704 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 12*d - 24. Determine y(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let b be k(-4). Suppose 4*x + 165 = -n + 40, x - 336 = 3*n. Let l = -109 - n. Sort -5, b, -0.5, l in increasing order.\nAnswer: -5, -0.5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*(g**(-1\/3)*g)\/g))\/g))**(-2\/5)\/(g\/(g\/g**(-2\/7)))**12 assuming g is positive.\nAnswer: g**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*u)*(-2*u + 2*u + u) + 3*u**2 + 0*u**2 - 4*u**2 + (2*u + u - 5*u)*(u + 3*u - 3*u))*(-3*u + 0 + 0).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4491 and 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4 + (-21)\/6 + 446\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -319, -185, 185, 905, 2089, 3851, 6305, 9565?\n\"Answer: 19*n**3 + 4*n**2 - 11*n - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -0.259016?\nAnswer: -5.439336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -3, -1, -0.1 in descending order.\nAnswer: 0.25, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4, 5*b + 5*c - 3*c = 212. Calculate the remainder when b is divided by 1\/(2 - 1) - -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + k = -13 + 2, k = 2*s - 5. Suppose -3*m - 2*i - s*i = 0, -4*i - 13 = 5*m. Let g be (20\/3)\/(m\/(-15)). What is g rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0782 - 0.06.\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-13)\/(t**(-16)*t*t\/(t**(11\/7)*t)))**(-7\/11) assuming t is positive.\nAnswer: t**(-116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5150.75 meters in nanometers?\nAnswer: 5150750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 8*p + 6. Let f be s(-8). Suppose 2*b + 3*d = 5*d + 6, -b - f = 2*d. Suppose b = 2*o - 0 - 2, -3*o + 11 = 2*k. Solve k = n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4455) + sqrt(4455) - sqrt(4455)) + (sqrt(495) + sqrt(495)*3 - sqrt(495)))\/((-1*sqrt(495))\/(sqrt(5) - 1*sqrt(405) - sqrt(5))).\nAnswer: -81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1960 and 2304536640.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:32 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 15. Suppose 0 = -0*o + 2*o + 4. Let q = 4 + o. Calculate the greatest common divisor of g and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/3)*d)\/d**(-2\/3)*d**(-7)*d**(2\/15)\/d)**18)**48 assuming d is positive.\nAnswer: d**(-29664\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 4 - (0 + -3 - -2). Suppose 0 = -2*z + 5*y + 181, -z + 3 = g*y - 94. What is the highest common divisor of z and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 + 217. List the prime factors of q.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(588) + sqrt(588)*-2)*3 - ((2*sqrt(847) - (sqrt(1008) - (-1 + sqrt(1008)))) + -4))**2.\nAnswer: -1570*sqrt(7)\/7 + 24824\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -6*z. Let n(m) = -2*m + 4. Let b(h) = 4*h - h + 0 + 0 - 3. Let o(v) = -5*b(v) - 4*n(v). Calculate o(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**8\/26880 + p**7\/504 + 5*p**6\/144 - 13*p**4\/12 - 17*p**2. Let t(l) be the second derivative of k(l). Solve t(r) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 444.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102630 and 1272480.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(7) + 2.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence visv when four letters picked without replacement from ibsdbsavvbvvbib?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 32. Let u be s(-6). What is the nearest to -1 in 2\/7, 5, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 9. Let j be n(7). Solve -u**5 + 2*u**5 + 5*u**4 - u - 2*u**4 - u**4 - j*u**2 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5165625, 10331264, 15496903, 20662542?\nAnswer: 25828181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -221 + 18973?\nAnswer: 18752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*s - 840*s + 2 - 2 - 20*s**2 + 280*s + 284*s.\nAnswer: -20*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:26 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 54. Let p be m(9). Calculate the highest common factor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 66 = 64. Let p(m) = -m**3 - m + 1. Let l(x) = 6*x**3 - 5*x**2 + 7*x - 8. Let s(c) = a*l(c) - 5*p(c). Calculate s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-300)*((-2091)\/238)\/41\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17209168 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -28 + 8. Let c be u\/3 - (-28)\/21. Put c, 5, -4, -3 in decreasing order.\nAnswer: 5, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 2*f**2 - 25490*f**3 - 91457*f**3.\nAnswer: -116947*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 0*t + 5*t)*(t**3 - t**3 + t**3) to the form z*t**4 + l*t**3 + x*t**2 + j + p*t and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 4716*c - 319215.\nAnswer: 3*(c - 1637)*(c + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1694*x + 97. Is z(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**3 + 2*o**3 + 0*o**3)*(80 - 59 + 124)*(-3*o - 5*o + 4*o) to p*o**2 + f*o + z*o**4 + c*o**3 + n and give z.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 4*s + 39. Let x be (76\/10)\/((-22)\/s). List the prime factors of (2 + -1)\/(1\/x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57536.473 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1839*h + 2*h**3 - 2*h**2 + 3679*h + 0 - 12*h**4 - 4 - 1837*h - 2 to v*h**2 + z*h**3 + p*h + i*h**4 + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/((-175)\/4) + 261\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 39\/(-12))*(-9 - -5)*1. Which is smaller: j or -4\/139?\nAnswer: -4\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-25) - (-351)\/45) + 58. Let q(y) = 22*y**2 + 66*y + 66. Let j(i) = i + 1. Give h*j(s) - q(s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1712 and -83\/32?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-216))\/(1629\/162 + -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14827 - 8363. List the prime factors of q.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 = 2*b + 3*s, -1 = -5*s + 9. Let i = -304 - b. Calculate the remainder when 35 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-15)\/9)\/((-48)\/(-144))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 + 5*x + 10. Let m be q(-7). Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -324002?\nAnswer: -323442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.411?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 j when four letters picked without replacement from {r: 3, j: 1, v: 1, q: 5}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*h**2 - 172*h**2 + 74*h**2 as m + p*h**2 + n*h and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/((-36)\/(-4)*(-5)\/60).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 3*k**3 + 100 + 0*k**3.\nAnswer: -k**3 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*l**3 + 5*l**3 - 24*l**3)*(-2 + 2 + 2)*(-4*l + 2*l + l) + l**4 - 4*l**3 + 4*l**3 + (-l**3 + 2*l**3 + l**3)*(3*l + 3*l - 7*l) - 2*l + 2*l**4 + 2*l.\nAnswer: 105*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, 1 g, and 1 m when four letters picked without replacement from {m: 2, g: 4, v: 2, p: 1, y: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chchcc. Give prob of sequence ccch.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26917 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 272410000 rounded to the nearest one million?\nAnswer: 272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 2\/9, 1\/5, 3, -98, -3 in decreasing order.\nAnswer: 3, 4\/7, 2\/9, 1\/5, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2278, -5, 5\/3, 7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 16, 75, 220, 481?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - 2) + 5 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*y + 277 + 1151 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25202?\nAnswer: 2, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*q - 2*m - 22, 2*m = -3*q + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 2 - 8 + 15 - 8 + (0 + 1 + 0)*(0 - 1 - 1))*(31*z**4 - 24*z**4 - 22*z**4) to the form o*z**3 + m*z**4 + r*z + b + n*z**2 and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -561a8 + 161?\nAnswer: -56047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*d*v**3 + 3*d - 7*v**4 + 27 wrt v?\nAnswer: -27*d*v**2 - 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*d - 4*f, -3*f = d - 2*d + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 17618*a + 77598481 = 0. Calculate a.\nAnswer: -8809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31990, 32010, 32030?\nAnswer: 32050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425102 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let w(a) = 5*a - 106. Determine w(t(h)).\nAnswer: 5*h**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*t - 297*t = 1449. What is the lowest common multiple of t and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 30784891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(3\/27)\/((-2)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206916 and 1548.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2655 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5820167747 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 14028203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-5)\/((-5)\/(-2)). Let p be (j + 0)*(-2 - -2). Let o be 15 - 9 - (6\/2 - 0). Solve -2*b - o*n - 21 = p, 4*b + 1 - 14 = 5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 3\/7, -2\/9, -1\/141?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 817 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:10 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - l + 112 = -145, 493 = -4*d - 5*l. Let x = 295 + d. Calculate the highest common factor of x and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a + -13?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*h + 1408*h - 908*h.\nAnswer: -355*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003847757 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1 - 4 + r + 4. Let x be z(3). Suppose 16 = 2*b - 3*y, -5*y = -4*b - 3*y + 16. Solve -x*w = -g - 5, -4*w + b*w + 5*g = 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -858 + 170 - f + 403 - 787 + 2*f**2 as d*f + m + t*f**2 and give m.\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14871 - -832697\/56. What is the common denominator of d and 133\/880?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 1. What is z(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111012000112 (base 3) to base 6.\nAnswer: -103422405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.74475 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + c, -2*c = -5*g + 3*c + 20. Suppose g*q = 3*q - 5. Suppose -72 = -3*a + 3. Solve 0 = -q*l + a - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -34*f + 39*f. What are the prime factors of (0 + (-21)\/6)\/((-2)\/f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 136733184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159298740 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8.5. Let o = -52240 + 2664455\/51. Let q = o + -13\/3. Which is the closest to r? (a) 3 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 25. What is the remainder when 8 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -28*k. Let i(f) = -12*f - 4. Let z(w) = -15*w - 6. Let v(b) = -3*i(b) + 2*z(b). Calculate a(v(l)).\nAnswer: -168*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266008?\nAnswer: 2, 19, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -365*y**2 - 9*y - 1. Let h(g) = -2*g. Determine h(c(d)).\nAnswer: 730*d**2 + 18*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11395045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5949.\nAnswer: -1\/5949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 30. Solve -4*t + 2*t + n*h = 14, 3*t + 18 = 3*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20204451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427678764?\nAnswer: 2, 269, 1326839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*u + 3. What is the second smallest value in u, -2\/7, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/((-6)\/(-356)). Let h = y - -105. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = -9*q + 45*q - 434 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6919355693?\nAnswer: 41, 53, 3184241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 + 827901*w = 0.\nAnswer: 0, 275967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*u - 16, 14 = -0*a + 3*a + 2*u. Suppose -a*o - 3*x = -175, 2*o + 2*x = 5*o - 282. Calculate the highest common divisor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -60. Sort 10\/7, 3, h, -0.3 in descending order.\nAnswer: 3, 10\/7, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddkkk. Give prob of sequence dkdk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-32\/7))\/q*q*q)\/q*q**(-2\/41))\/(q**19*q*q**(-2\/17)))**(-1\/4) assuming q is positive.\nAnswer: q**(114669\/19516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2040092, -2040091, -2040090, -2040089, -2040088?\nAnswer: -2040087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*s + 17 = 3*s, -2*w + 30 = 5*s. Suppose 3*c - 6 = -w*r, 9 = -2*r - 6*c + c. What is the units digit of (-16)\/12*r\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408*s**4 + 404932*s + 453186585.\nAnswer: 1632*s**3 + 404932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3 - 7 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (94\/(-6))\/(-1*(-4)\/(-24)). Let i = 57 - v. Let d = 42 + i. Solve -d*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132893 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*k + 20 = 3*k, -p - 8 = 3*k. Suppose 0 = 2*w + 2, -g - 4*w - 1519 = -p*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/226850 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/5 - 197*u**4\/6 - u - 4. Find the third derivative of i(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*k + 3844, 3*k - 2*y = -0*y + 2306. Let m = -16937\/22 + k. Is m smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-11)*y\/y**13*y*(y**(-1\/3)*y)**(-8) assuming y is positive.\nAnswer: y**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -348, -526, -704, -882, -1060?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 435919 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 4:57 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*j - 32, 368*y = -5*j + 367*y - 5. Factor 4\/3*a**2 + 80\/3*a - 1\/3*a**j + 64.\nAnswer: -(a - 12)*(a + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2 + 1 = 2*r, -9 = 5*r + a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/108 - (-38)\/(-8). Is (-2)\/(15369\/25665 + 3\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058738 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*h + 7*h - 14, h - 1 = i. Suppose 4*r - 5 - 7 = 0. Suppose -t + 3*x = r*t + 8, 3*t + h*x - 23 = 0. Is t smaller than 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + -1 + 5 + sqrt(192) + (sqrt(192) - -1*sqrt(192)))**2.\nAnswer: 336*sqrt(3) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1727\/3120 + -29\/624. What is the third smallest value in 3, -2, 10\/3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8915935 to the nearest integer?\nAnswer: 2986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*h - 16 = 208*h. Let q = 0.11 - 0.31. Which is the second biggest value? (a) 3 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 3*u, 5*u = -3*m + u + 44. Let g = -6 + m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2979 * 156.\nAnswer: -46.4724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = d - 5*k, -23*k = -2*d + 6*d - 10*d - 289 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*136\/(-20). Suppose 84 = f - t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + 2*u**4 + u**4 + (-24 + 55 + 19)*(60*u**4 - 20*u**4 - 25*u**4).\nAnswer: 753*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 125 - 7*v + 35.\nAnswer: -7*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/132 and -111\/110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 274.3 - 274. Which is the biggest value? (a) 2\/9 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1 - 2 - 3 + 3. Let v(k) = -k**2 + 9*k - 10. Let l be v(8). Let d(w) = -w + 3. Give l*d(m) - 5*u(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -167\/4. What is the nearest to f in -3, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -332.7 - -333. Which is the closest to -6? (a) -0.5 (b) -1 (c) -2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5*o**2 + 7 - 3110*o + 3110*o - 1.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -885317 divided by 5.\nAnswer: -885317\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270854 (base 9) in base 7?\nAnswer: 1254145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1 + 21 - 3*l + 7. Let o be p(8). Let q(a) = 3*a - 4. Let y(t) be the first derivative of -t - 1. Calculate o*y(d) - q(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -544, -547, -552, -559, -568, -579, -592?\n\"Answer: -b**2 - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunahn. What is prob of sequence na?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*t**4 - 3 + 16*t**4 + 23*t**4 + 3*t + (4*t**2 - 4*t**2 - t**4)*(1 + 1 - 3).\nAnswer: -t**4 + 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -9, 9, -2, -4, -5.\nAnswer: -9, -5, -4, -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 2. Let t be (-1)\/((-218)\/(-440) + 1\/(-2)). Let g = -212 + t. Solve -6*d = -l*d + g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1129d (base 16) to base 8.\nAnswer: 211235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Suppose p = 2*k + 6, 7*p + 3*k = 4*p. Let m be p\/(-6) + 39\/117. Sort 3, r, -5, m in ascending order.\nAnswer: -5, m, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 9*u**2 - 19*u**2 + 6*u**2 - 3.\nAnswer: -4*u**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y - 7. Suppose -5*m - 1 - 229 = 4*s, -3*s - 183 = 4*m. Let d = m + 40. Is c(d) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 58384 divided by 14596\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3847 is divided by 386?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (37474\/2337 - 39).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24886 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.8577 and -28.03.\nAnswer: -9.1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*l**3 - 81*l**3 + 7 - 2 + 167*l**3 + 10*l**2 in the form x*l**3 + m*l + t + p*l**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 108. Let u(p) = -2*p - 53. Let y(k) = 4*h(k) + 9*u(k). Calculate the remainder when 16 is divided by y(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5943\/(-29432))\/((-24)\/256)\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from tkkkvkklvlvikkkvkki.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 47*y - 20. Let i be j(23). Suppose 14 = -x - p, 0 = 4*x + i*p - 0*p + 58. Sort -2, 2, x in increasing order.\nAnswer: x, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -61*k - 37. Let x be p(3). Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20246 - 20251. What is the third smallest value in -0.2, 10, 0.11, z?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 27. Suppose 2*o + h*o = 40. Solve o = 2*a - 0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 97\/3. Which is the nearest to -0.3? (a) 2 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkt when three letters picked without replacement from {k: 3, t: 3, u: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 22\/3 - (-3)\/(-9). List the prime factors of (-194 - 4)\/(p + -4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-4) - (-15)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 15, 0 = -38*t + 41*t + 5*f + 37 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -2\/9, 4, 1, -754\/179 in descending order.\nAnswer: 4, 3, 1, 0.2, -2\/9, -754\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*g = 4*g - 131, 95 = 3*d + 4*g. What is the highest common divisor of d and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 718 and 5?\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 1191*t**2 + 10274*t + 3617. What is g(-604)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 19. Let q(h) = 3*h - 2*h + b + 0 - h**2 + 0*h**2 + 5*h**3. Let i be q(-1). Let r(w) = w**2 + 4*w - 2. What is r(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 - 10*p**2 + 23*p - 14 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -15895 + 29061 + 4*i**2 - 14455 in the form z*i + p*i**2 + o and give o.\nAnswer: -1289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 2*v)*(-4 + 3 - 1 + (0 - 6 + 5)*(-3 + 1 + 1)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1320123 (base 4) to base 5\nAnswer: 221312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*g + 164*g**4 + 0*g**2 + 0*g**2 - 168*g**4 wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/265999 + -2630464127\/1063996. Let t = y - -7223\/4. Let x = -619 - t. Find the common denominator of 19\/5 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 43335.5918 and -0.1.\nAnswer: 43335.4918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by 615?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4643695 and 7.\nAnswer: 4643695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:29 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 1, r: 1}. What is prob of sequence vfr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -937, -1231, -1525, -1819, -2113?\n\"Answer: -294*w - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -7, -4, 431, 0 in increasing order.\nAnswer: -7, -4, -3, 0, 9, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2155 + -6401\/3. Let l = -85\/7 + 814\/63. Calculate the common denominator of l and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 20924*v**2 - 146736*v + 377136 = 0. What is v?\nAnswer: -9, 2, 5238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2 and -61\/138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 69 - 9. Suppose t = j*s - 4*s, t = 5*s. Suppose 5*r - 790010 = -v, s = -0*r - r + 2. Round v to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16654 + -0.03346. Let q = -80 - -86. What is the biggest value in -0.4, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145564 and 272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15\/164, 40, 134, -1 in decreasing order.\nAnswer: 134, 40, -15\/164, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157341 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a + 54 = 0. Is (1 + 1\/(-2))\/(a\/(-234108)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23 + -12 + 36 - -1. Solve 2*u - 4*q + 53 = 35, 12 = v*u + 2*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {v: 7, h: 6, j: 1, d: 6}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 415\/2 - 207. Put -13, -1\/4, f, -3 in increasing order.\nAnswer: -13, -3, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/99)\/(750\/(-1375))*104\/4?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10111001101111?\nAnswer: 10111001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/(-17))\/((-1)\/(-16)). Let u = h - 30. Let m(i) = i**2 - 4*i - 5. Let n be m(4). Which is the closest to 1? (a) n (b) -1\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7117*a**3 - 52093 with respect to a.\nAnswer: -21351*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.782 and 1.34.\nAnswer: 0.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/158876 and 13\/1429884.\nAnswer: 1429884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + n - 1. Let w be y(1). What is the smallest value in 0.2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.20315mg in grams?\nAnswer: 0.07920315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(171))**2*2.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2. Let a(j) = -2*j + 7. Let d(p) = 2*p - 6. Let s(v) = 6*a(v) + 7*d(v). Calculate o(s(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -2*l**3\/3 + l**2 - 3*l - 3. Let i(q) = 6*q - 3. Determine -7*b(u) - 5*i(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o + 4. Let a(c) = c**2 - c - 2. Let u be a(3). Calculate p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 0.3, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 33*c. Let u(k) be the second derivative of k**4\/4 + 3*k**2\/2 - 2736*k. Calculate u(m(z)).\nAnswer: 3267*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.42 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 7. Let x be k(0). Let m(h) = -4 + 1 - 2*h - 6*h - 1. Is m(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 5 + (-7 - (20 + -44)) + -10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 67. Does 2\/9 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhvycvcvyvvcv. What is prob of sequence yycc?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14203139 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.84 - -0.16. Let w = -9 + j. Which is the closest to 0? (a) w (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10235 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*l**2*q - 4*j**2*q*s**2 - 2*j**2 - 24*j*l**2*q*s**2 - 2*j*l**2*q*s + 5*j*q + 10*q*s wrt s?\nAnswer: -8*j**2*q - 48*j*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48222 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 14*q**2 + 12*q + 29. Suppose -5*w - d - 62 = 0, -2*d - 46 = 4*w - 0*d. Does 6 divide o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 931793, 931650, 931507?\nAnswer: 931364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0474 less than -19016?\nAnswer: -19011.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*t + 416*t - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -55 - (-58)\/(-87)*(0 - -6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19590783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1213*g - 125*g - 347*g + 237*g - g + 0*g + 2*g + (-2 + 2*g + 2)*(-1 + 1 - 2) - 2 + 2 - 2*g to i + m*g and give m.\nAnswer: -1453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k - 8. Let n(g) = 6*g - 30. Let s be n(7). Let z be (s\/(-8))\/3*124\/2. Let q = z - -25. What is h(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.1. Let y = -0.13 + 0.13. Which is the biggest value? (a) 0.1 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmnmzmmz. Give prob of sequence mzn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0*z + z)*(6 - 2 - 1)*(15 - 6 - 28)*(-3*z + 4*z - 3*z)*(-73 - 37*z + 73) to the form t*z + l*z**2 + h + w*z**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-24)*-341)\/(4\/(-1058)). Let f(p) = -3009*p - 3. Let z be f(-5). Let w = z - t. Find the common denominator of w and 79\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129897, -129899, -129901, -129903, -129905, -129907?\n\"Answer: -2*q - 129895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16510 (base 9) to base 16\nAnswer: -2c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*z, -28 = -5*z + 5*d + 2. Suppose -2*i - 16 = z*i. Let y = -2.23 - -1.53. Which is the third biggest value? (a) 1 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 6, -2\/3, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, c: 5, d: 1, z: 1, j: 2}. What is prob of sequence cdz?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + (16 - 35).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:58 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2215 + 1240455?\nAnswer: 1243114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 119 - (-5 + 7 - -2). Let m = 118 - x. Let q(g) = 0*g**2 - 2*g**3 + 2*g**2 + g + g**3. Give q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.16 and 1013000?\nAnswer: 1013006.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143884 and 1157?\nAnswer: 12805676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d + 6 - 21*d + 6 + 2*d**2 - 10 - 3*d**3 + 1 as z*d + b*d**2 + h*d**3 + n and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2. Let s(p) = -7*p**2. Calculate 3*s(h) + 5*w(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 558081780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8565 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -62. Let a = 6 - c. Suppose -a*n = 4, 2*g + 3*n - 329 = -3*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207.30015992 - 293.3001575. Let z = o - -86. Round z to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 73 = -5*h, -7*z - h = -10*z + 31. Solve -z*q = -6*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7)**(-8\/17)\/(c*c*c*c\/((c**(-4)*c)\/c)*c*c*c*c**(-1\/9)))**(-1\/7) assuming c is positive.\nAnswer: c**(310\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -158381 times -1.517?\nAnswer: 240263.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021120002 + -200?\nAnswer: 2021112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.84 + 8.84. Put h, -2\/17, 14 in increasing order.\nAnswer: -2\/17, h, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/18 and -73\/560?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + -4 + 2.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*n + 93 = 0, 2*y + 2*n - 195 = 3*n. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 48*n + 56505*n**3 + 32*n.\nAnswer: 56505*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -583799702*m**2*v - 10276*m*v + m + 262*v - 4 wrt m.\nAnswer: -1167599404*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -6)\/(1 - 3). Let u(z) be the second derivative of z + 0*z**2 - 1\/48*z**4 - 1\/40*z**6 - 1\/168*z**7 - 3\/80*z**5 + 0*z**r + 0. What is j in u(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 5 (c) -2\/3 (d) 9 (e) -68 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let n(t) = 4*t - 5. Let j(g) = g - 5. Let h(b) = -b + 4. Let i(c) = -4*h(c) - 3*j(c). Let w(q) = 5*i(q) - n(q). What is v(w(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiivdsf. What is prob of sequence qss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-489447 - -489321) + 0 + (0 - -1) + 18?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190567?\nAnswer: 13, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o = -1054 - 1058. Let s(y) = 2*y**2 - 6*y - 6. Calculate the smallest common multiple of o and s(5).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 42 = 15*u. Solve -3*h - h - 28 = -4*y, 23 = 5*y - u*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p = -58*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2085225706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyylylsllyy. What is prob of sequence yly?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - o + 3*o)*(2*o - 2*o - 3*o**2) + 4*o**3 + 2*o**3 - 5*o**3)*(1 - 2 - 1)*(-4 + 2 + 5)*(0*o - 2*o + 10*o).\nAnswer: 384*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72046527 - 72046530.0900129. Let h = -3.09 - w. Round h to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*f**2\/7 + 1668*f\/7 + 3564\/7.\nAnswer: -3*(f + 2)*(19*f - 594)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7767 and -0.1.\nAnswer: -7767.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + (-12)\/8 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, v: 1, d: 1, s: 5}. What is prob of sequence evs?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*g - 225, 5*g + 3*s + 0*s - 375 = 0. Let c be (-12)\/228 + 11\/(-627)*-174. Calculate the greatest common divisor of g and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.98 + -2.01. Let v = -24.03 + 24. Let s = m - v. What is the closest to -1 in -5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 4*g**2 + 11)*((-3 - 2*g + 3)*(1 + 3 - 2) - 3 + 3 + 2*g + g + 1 - 1 + g - 6*g + 4*g) as z*g**2 + m*g**3 + a*g + u and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2) - -1)*6430\/(-125385)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/11, 3, -0.2, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 284504*f + 284500.\nAnswer: 4*(f - 71125)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vus when three letters picked without replacement from {u: 2, e: 5, s: 5, v: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-40)*-12*16\/(-6). What are the prime factors of (-2)\/p + (765\/6 - -6)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -556681167 - 2057.256\nAnswer: -556683224.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10178102*n**3*p**2 + n**3 - 15*n**2*p - 1708 wrt p?\nAnswer: -20356204*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -432*l**4*m - 5589*l**3*m**3 + 3*m**3 + 6*m**2 + 6*m - 2339 wrt l?\nAnswer: -1728*l**3*m - 16767*l**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64 and -7.69?\nAnswer: -492.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2. Let x(c) be the third derivative of c**6\/180 + c**4\/6 + 3*c**2. Let k(n) be the second derivative of x(n). Calculate h(k(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + y**2 + 11*y + 16. Calculate the remainder when 7055 is divided by s(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -283162, -566319, -849476, -1132633?\n\"Answer: -283157*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16*o - 96. Calculate j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*z**2 - 487052*z + 7731.\nAnswer: -(z + 7731)*(63*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 - 3. Let y be i(3). Suppose 0*d - 2*d + 5*j + 39 = 0, -3*j - 33 = -2*d. Let z be (-2)\/d + (-25)\/(-6). Solve -z*r = r + y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5399537 - 7176136 - 21613663 = -189*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14458890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 0.1, -46, -3495, 1\/2 in descending order.\nAnswer: 1\/2, 0.1, -0.25, -46, -3495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.4 in -2, -682, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19308137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 148126 - 148126.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2541 and 58598?\nAnswer: 148897518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 o when four letters picked without replacement from {f: 5, o: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*n + 5*t, 5*n - 5*t + 3 + 32 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203*m**4 + 3142*m**2 - 3142*m**2)*(15*m + 15*m + 3*m).\nAnswer: 6699*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-442)\/17)\/((-4)\/10). Suppose 0 = 3*c - 2*c - 75. Let v = c - p. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 3*a - 211, 19*a - 83 = -3*u + 14*a. Suppose -3*b - 3*c = 3, 4*b - 5*c - 20 = -c. Suppose -b*p - 24 = -3*p. Which is greater: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 9*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - 42. Let q = b + 106. Suppose u = -2*m - q, 0 = 2*u + 3*m + 1 + 1. Solve -4*l + p = -4, 6 = -2*l + u*p - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -63*j - 69. Factor 0 - 10\/7*b**j - 6\/7*b - 2\/7*b**3 + 2\/7*b**4.\nAnswer: 2*b*(b - 3)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 5*r - 8*r**2 + 0*r + r in the form j*r**2 + y + t*r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 478?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670 by 67.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8) - -3) + -1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2670*d + 22793700 = -2570*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 1, 24, 1\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p - 33. Let l(a) = 2*a**3 - 10*a**2 + a. Let z be l(5). Let t be m(z). Factor -4\/5 - 2\/5*c**4 + 14\/5*c + 2*c**3 - 18\/5*c**t.\nAnswer: -2*(c - 2)*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 = 1. Suppose -z + 16 = -g*v + 9*v, 17 = 3*v + 2*z. Solve -v + 12 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 70. Suppose 0 = 10*h - z*h + 1225. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(806\/(-4030)*((-1)\/16)\/(4\/(-40))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(12\/(-27) + 4\/(-18))*18. What is the highest common factor of z and 540?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17584, -17585, -17582, -17575, -17564, -17549, -17530?\nAnswer: -17507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096289?\nAnswer: 1096289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*p = -13, p + 2 = -l + 5*p. Let m = 57 - 25. Let q = l + m. Solve -q = -5*k - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h\/(h\/(h\/(h\/h**(-7))))))\/h*h*h\/(h**(2\/57)*h))\/((h**(7\/2)\/h)\/h**(-32)) assuming h is positive.\nAnswer: h**(-2911\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5 - 5 - 2 + 6 + 6*z. Let t(s) = -3*s - 2. Calculate -7*t(x) - 3*y(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -10*a**4\/3 + 178*a**3\/3 - 56*a**2\/3 - 7864*a\/3 + 2080 = 0.\nAnswer: -6, 4\/5, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.73 - -23.9. Let l = -0.17 + k. Is 2 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*i + 23250 = 34158 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*f = -4*z, 3*f = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnnnnnnnnnnqnnnnnnn. Give prob of picking 3 n.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 8, 124, 298, 536, 844, 1228, 1694?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/15052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -509*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187095.\nAnswer: 3, 5, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*n - 83 = 0, -3*a - 2*n + 26 = -7*n. Let t = 5 - a. Let y = t + 46. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -2*z + 1\/84*z**4 + 6 + 1\/7*z**2 + 1\/14*z**3. Factor q(h).\nAnswer: (h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -385, 5, -6, 0, 4 in decreasing order.\nAnswer: 5, 4, 1, 0, -6, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x - 95. Let g be c(-19). Suppose g = 5*r - k - 2, k + 4*k = 2*r - 10. Solve r = -z - 6*z - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 5*p - 47. Suppose 102 = -5*x + 42. Let j be d(x). Solve 5*n + 28 = -u, 5*n = 3*u - 7*u - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/66 - (-301)\/(-6622).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbffbfbbff. Give prob of picking 4 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 310029?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 72 = -2*h. What are the prime factors of h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from mnnmnmmmmm?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65 or 9?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4. Let a be t(3). What is the second derivative of 0*k**5 - k - k + 4*k**a - k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16269, -16300, -16339, -16386?\n\"Answer: -4*n**2 - 19*n - 16246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/((0 - 1)*1) + 1600 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5 - 3*x**2 + 4*x**2 - 2 + 3*x + 0. Calculate the remainder when 61 is divided by m(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 9 - 34*m + 12 + 4 + 3*m**2.\nAnswer: 3*m**2 - 34*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(sqrt(450)*1 + sqrt(450) + sqrt(450)) + 3*(sqrt(450)*-1 + sqrt(450)))**2*-2.\nAnswer: -97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 506744047 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54706072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(300) - sqrt(12))*3)\/((sqrt(96)*-2 + sqrt(96) + sqrt(96) - sqrt(96)) + 2*(sqrt(96) - sqrt(6)) + sqrt(6)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 252. Suppose 0 = 2*k - 32 - o. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 104*r**3 - 278*r**3 + 486*r**3 - 99*r**3 + 0*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 8*n**2 - 8. Suppose 0 = -5*u - 40. Let t be v(u). What is the tens digit of ((-66)\/(-4))\/((-6)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3640839, -7281622, -10922357, -14563020, -18203587?\nAnswer: -21844034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1329, 1334, 1339, 1344?\n\"Answer: 5*y + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58954 is divided by 851.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -647 + 916. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 91. Suppose -5*a = 4*x - 431, -51 = -a + 2*x + c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 6.5?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -524052 or -522981?\nAnswer: -522981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-5)\/(135\/(-6))). Let u be (-28)\/126 + 43\/p. Suppose -14 = -2*z - 4. Put 3, z, u in descending order.\nAnswer: z, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11190 - 28*o - 22369 + 11184.\nAnswer: -28*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -2)\/(3\/3). Suppose -8*b + 15 = -3*b. Does 8 divide (-2 + g\/b)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5064 - -13?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -1 - (-3 - -1). Suppose -5*t = -8*m + 3*m - 5, 15 = 3*t. Solve 16 = -m*b, 2*d - 21 + p = 4*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aagagaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*p = -2*q - 44, -3*q = -p - 40. Let b be (-12)\/5*(-40)\/q. Let j = 10 - b. Solve -3*v - z + 15 = 2*z, -j = -4*v + 5*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(75)*3 + -5 - sqrt(75)*2*6)).\nAnswer: 8 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) -91 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/20 + (-3547)\/656. Let a = 50\/41 + w. Find the common denominator of 73\/24 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2685190068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 32*k + 192. Calculate the remainder when 88 is divided by s(26).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwvw when four letters picked without replacement from vwvvvwvvvvvvv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998\/5 at most as big as 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2140, 17093, 57680, 136717, 267020?\n\"Answer: 2136*o**3 + o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-70))\/(4*(-3)\/(-24)). Let y = -6 - -5. What is the third biggest value in k, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 20, -2, 2.63?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 36*f**2 + 16*f + 288. Is 8 a factor of h(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155433177?\nAnswer: 3, 3187, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -870, 4, 0, -1\/64, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(1 - 1 - 1) - 1 + 2 + 1)*(-3*f - 3*f + 2*f)*(-1 - 1 + 3)*(23 - 33 + 40).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.498 less than -0.06?\nAnswer: -41.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8388089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2096*j**2*v**3 + 2*j**2*v**2 - 4*j**2 - 4649*j*v**3 wrt j.\nAnswer: -4192*v**3 + 4*v**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2004 < -2007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - 11 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n - 6. Let s be u(-10). Suppose 3*r - 6*r + 2*b = -s, 3*b = 2*r - 36. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s - 3. Let y = 11 - 8. Suppose 2*t = -5*m - 14 + 1, 0 = -y*t - 5*m - 7. Give k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1129230 and 864.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -823347, -823343, -823337, -823329, -823319?\nAnswer: -823307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -93651 times -15\nAnswer: 1404765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = -244*b + 1289 + 1060 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 17 + 2 - 6 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 95.2?\nAnswer: 10.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-63)\/(-10) - (-4)\/10 and 62\/(-6) + 3 + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 11781 = -51*u. Let q = u + 1409. What are the prime factors of q?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3496*b**2 + 8*b - 13480?\nAnswer: 6992*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17737 - -17747. Let k be 1*6 - (0 - -1). Suppose -5*y = 3*u - 50, 26 = 3*y - k*u + 6*u. Calculate the remainder when b is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9335 kilograms to micrograms.\nAnswer: 2933500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 3*v + v)*(3*v + 2*v - 3*v)*(24 + 14*v - 48 - 2) to w + u*v**2 + l*v**3 + k*v and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 38. Suppose t + 19 = 46. Let g = t - a. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let q = 7595 - 7602. Is 113 + q - (y + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6270*f**2 + 6262*f**2 - 294*f**4 - 12532*f**2 + (3 + 1 - 2)*(0*f**4 - 2*f**4 + 3*f**4) as l*f**2 + v*f + d*f**4 + o + x*f**3 and give d.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0465985 to 3 dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 1843181.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 7*b**5\/60 - 7*b**4\/24 - 5*b**3\/6 - b**2 - 12*b. Let j(r) = -4*r**2 + 4*r + 3. Let z = 2 + 3. What is z*j(o) + 3*a(o)?\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14191 - -14301. Solve -4*w + j - 120 = -2*r, -4*r + w = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2688 - -8213\/3. Let v = -736\/15 + w. What is the second biggest value in 1\/4, v, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 3*n - 9. Let t(u) = u + 3. Let o(j) = 5*s(j) + 15*t(j). Let m(q) be the third derivative of -q**4\/24 - q**2 - 16. Determine o(m(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -284900 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285463509 - -50833509. What is l rounded to the nearest one million?\nAnswer: -235000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from lsllnjlljlnsll?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1043245 + 42015?\nAnswer: 1125304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 8*a + 6. Let k be u(-5). Let c = 4492 + -4488. Factor k*l**4 + 147*l**4 + 40*l + 150*l**3 - 38*l**c - 180*l**2.\nAnswer: 5*l*(l + 2)*(5*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/27604 and 13\/6?\nAnswer: 82812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -92d295?\nAnswer: 92d298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 10:36 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:12 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3884.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/3 - 0)*-8. Suppose r = -2*z - 5, x*z - 3*z = -4*r - 20. Suppose 3*m = -z + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:01 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/2 + (-527)\/(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 25 + 11*s**2 - 14*s**2 + 10.\nAnswer: -3*s**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u**3 + 5*u**2 + u**2 - 6 - 3*u**3 + u + 10*u. Let a(x) = -5*x + 6. Let j be a(2). Let g(v) = -v**3 + 2*v**2 + 4*v - 2. What is j*l(m) + 11*g(m)?\nAnswer: m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-2) - (-2 + 5). Suppose -v - h = -4. Let a = 1 + v. Solve -4*r + 5*c - 8 = -3, 5 = -a*r + 5*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - ((-314 - -46) + 133)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 615 = -18*f. What is the least common multiple of f and 532\/20 + (-10)\/(-25)?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75294*l**2*u - 2*l*u - 61*u - 5 wrt l?\nAnswer: 150588*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3) + -6 - -7 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160761 and 492.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12802)\/(-730925)*-13 + 2\/(-25)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-18) - (-10)\/3. Let d = 13 + -6.6. Let k = 6.2 - d. What is the third smallest value in y, k, -0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12049 is divided by 11229.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9*16164\nAnswer: 145476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -8. Let j be ((-18)\/(-12))\/(b\/8). Calculate the common denominator of ((-3)\/j)\/(3\/(-17)) and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 13556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82)\/(-410))\/((-13)\/10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 480*v - 101. List the prime factors of d(1).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78343*f - 93902 = -76724*f for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + k + 5. Calculate the least common multiple of (-330)\/(-27) - (-4)\/(-18) and y(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*q**3 + 16*q**3 - 45*q**3)*(-3*q + 0*q + 2*q).\nAnswer: 107*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/23 (b) -46768.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -4)*(-2)\/2. Suppose -t*a - 107 + 8 = 0. Let n be a\/(-21) + 12\/28. Which is smaller: n or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3\/2 - 13*z**2\/2 - 4*z. Let q(n) = n**2 + 4*n + 1. What is the least common multiple of u(-9) and q(3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 167451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-17))\/((-1278)\/(-4828))*-18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -s - 19. Solve 4*i + 10 = z, 4*z = -s*i + 2*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9400878.7 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 2, z: 4, u: 3}. Give prob of sequence zux.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144410.\nAnswer: 2, 5, 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*o - 65942 + 65748, -o - 44 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:16 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 2146533?\nAnswer: -2146543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17066.37+-329\nAnswer: -17395.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**9*y*y\/(y*(y*(((y\/(y**8*y))\/y)\/y*y)\/y)\/y))**48*(y**(-1)*(y*(y*y**4*y)\/y)\/y)\/(y**6\/(y*(y**(-4\/5)*y)\/y*y)) assuming y is positive.\nAnswer: y**(1196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.7123 years in millennia?\nAnswer: 0.0577123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -15*y**4 - 3*y**3 + 15*y**2 + 3*y = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -14. Solve -6*a + 2 = -q*n - 2*a, -2*n = -a - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -13. Let s(o) = -o**2 + 0 + 1 + 2*o**2 + 3*o. Determine s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 142 - 22*z + 64.\nAnswer: -22*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -135*x**2 + 372*x - 6. What is a(2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(-88)\/(-6688)*-38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/20 and 93\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -230*h + 358. List the prime factors of o(-16).\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w = 54*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 13. Let j = -5.94 + 2.94. Let w = r - j. What is the closest to w in 1\/4, -1\/8, 0.01?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89159 and 61517.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*z**4 - 69*z**3 - 30*z**2 + 70*z**3 + 248*z**4 = 0. What is z?\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 < -98\/233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 18*z - 507. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2951*z**2. Let s(j) = -3*j. What is s(a(d))?\nAnswer: 8853*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2887627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*g + 4 - 2*g**3 + 1 - 1 to the form y*g + z + q*g**2 + h*g**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**15\/(s*s**(1\/4))**(-12) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(833) - (sqrt(833) + sqrt(833)*2 - sqrt(833))) + sqrt(833) + -3 + -2*sqrt(833))**2 + 5)*-3.\nAnswer: -122493 - 882*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55.27 - -55.17. What is the third smallest value in -4, o, 1\/3, -24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/60 + r**3\/6 - 7*r. Let i(x) be the second derivative of p(x). Let q(w) = -3*w. Give q(i(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23075 is divided by 3379.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -11. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k + 42*k + 35*k - 16*k as q*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50322080*u - 16774029*u - 16774008*u - 16774023*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmmmebbbmm. What is prob of picking 1 e and 1 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2082.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (3 + 3 - -9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -999 - -1005.67. Let u = g + -4.67. What is the biggest value in u, 4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + 17*i**2 + 13*i. Let x(t) = t**3 - 4*t**2 - 3*t. Let l = -75 + 45. Let y = 12 + l. Let u(p) = y*x(p) - 4*c(p). Factor u(r).\nAnswer: 2*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-952)\/833 - (-5)\/(385\/172)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - -8) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 17. Suppose u - g*y = 9, -2*u + y + 3*y = -26. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 16*s + 10. Let f be y(17). Let o(n) = -2*n + 2. What is the smallest common multiple of 1 and o(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 2. What are the prime factors of p(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1588692 times 10\nAnswer: 1.588692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:01 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 299 and -2.24?\nAnswer: -669.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 150208104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:36 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44132 divided by 17?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -19*u - a + 21461, 0 = 7*a + 21. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 2 l when four letters picked without replacement from {b: 4, n: 4, l: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from {n: 3, g: 2, a: 3, j: 1, i: 1, b: 2}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312668 or 312443?\nAnswer: 312443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 560376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -536 - -542. Let k(x) = -x**3 + 8*x**2 - 4*x - 2. What is the least common multiple of p and k(7)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfdddfd. Give prob of picking 1 d and 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.24653.\nAnswer: -0.073959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*s = 0. Which is the nearest to -5? (a) -5 (b) s (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/443 - -3530\/3101. Let c be (4*44\/64)\/(18\/((-6192)\/(-301))). Let -c*d**2 + b + 16\/7*d + 6\/7*d**3 = 0. Calculate d.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15702 by 54.\nAnswer: 2617\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 63, 126, 215, 330, 471, 638?\n\"Answer: 13*x**2 - 2*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10 - 2)*(-5*d + 3*d + 0*d)*((-d + 3*d - 5*d)*(-d**2 + 4*d - 4*d) - d**3 + d**3 + 2*d**3).\nAnswer: -190*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 2) + -6 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 12)*((-4 - -1) + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.183 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 + 4 = 0. Suppose 0 = -r*d + 18 + 7. Suppose d*z - 18 = -3. Sort -1\/2, -0.3, z in descending order.\nAnswer: z, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2265\/755)\/(18*1\/1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265 and 65?\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1867 + -714. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/(-120) + (-3)\/6. What is the second smallest value in 2, 1\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0*a**3 - a**3)*(0*a**2 + 10*a**2 - 7*a**2) + (1 + 1 + 0)*(0*a**5 - 5*a**5 + 2*a**5).\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v\/(v*v**(-5))*v*v*(v\/v**4)\/(v**(-1\/7)\/v))\/((v*v**(-2\/7))**30*(v\/(v*v\/(v*v*v**(-1))*v))**9) assuming v is positive.\nAnswer: v**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f**3 + 43*f**2 + 31*f - 9. Let u(m) = -8*m**3 - 21*m**2 - 15*m + 5. Let d(s) = -3*j(s) - 7*u(s). Factor d(z).\nAnswer: (z + 2)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18. Suppose 0 = 5*d - y*d - 20. Suppose -t - 5*b + 10 = 0, -d*t + 2*b = 7*b - 10. Solve 3*h + 5 - 17 = t, h = 3*g - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 762918 and 1898?\nAnswer: 55693014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33173727 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 14. Let d be (-11 - (-765)\/(-75))\/(5\/(-200)). What is the highest common divisor of w and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, -436 in increasing order.\nAnswer: -436, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -23. What is the fourth smallest value in 2\/15, q, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6\/j)\/(j**(4\/3)*j))\/(j**(2\/19)\/(j\/(j\/j**6)))*(j**(2\/13)*j*j**(-2\/5))**49 assuming j is positive.\nAnswer: j**(172282\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 20463*g**3 - 10235*g**3 - 10232*g**3 to l*g**3 + n*g + y*g**2 + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, 5, -5 in ascending order.\nAnswer: -5, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 5.9998. Let p = a - 0.0245. What is p rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 15.16. Let v = -16 - f. Let x = -1.000036 - v. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + -53. Let x = o - -60.72. Round x to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11928 divided by 852.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3147 - 3144. Solve 9 = 4*d - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*j**4 - 314*j**4 - 263*j**4 - 169*j**4 + (-4*j + 11*j + 2*j)*(-2*j**3 + 4*j**3 - j**3) - 4*j**4 + 0*j**4 + 2*j**4.\nAnswer: -869*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + -62. Let i be -36*(-16)\/o*2\/(-8). Which is the biggest value? (a) i (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28906 + 9247 + 9253 + 10406 + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9405 rounded to two decimal places?\nAnswer: 2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57878479 to the nearest integer?\nAnswer: 7608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -17*u**3 + 17*u**2 - 17. Let n = -16 + 6. Let s be ((-8)\/10)\/(n\/25). Let c(p) = -4*p**3 + 4*p**2 - 4. Calculate s*q(g) - 9*c(g).\nAnswer: 2*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45062 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: What is the hundreds digit of 9723570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -69*v + 5. Let o be g(4). Let p = o + 416. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 3*k + 4. Let n be ((-176)\/24)\/(2\/(-3)). Let p(j) = 5*j**2 + 16*j - 21. Let a be 4\/(-18) - (-20)\/9. Let r(w) = a*p(w) + n*u(w). Factor r(c).\nAnswer: -(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16788204 to the nearest integer?\nAnswer: 4097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 3*c - 80. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - j = -10, -f - 2*j = -7 - 3. Suppose -5*b - 22 = c - 2, f = -4*b + 2*c. Let o = 0 - 0. Put -5, o, b in ascending order.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 13. Let y(q) = 2*q**2 - 2*q + 3. Let w be y(3). Suppose -l - 3*o = o - w, 2*o = -4*l + 32. Calculate the remainder when b is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 379\/1313 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428828938?\nAnswer: 2, 43, 4986383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241359 and 516?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 122. Let j = -22 - g. What is the remainder when 49 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r**1)\/r))\/r)**(-1)\/(r*r**(1\/3)\/r)**46)\/((r**2*r)**30\/(r**(1\/3)*r*r*r*r\/(r*r**5))) assuming r is positive.\nAnswer: r**(-106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let w(f) be the first derivative of 17\/2*f**2 + 16 + 0*f. Give v(w(u)).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 244426 + 244426.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804 - 3134 = 38*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 594040729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1439938845 divided by 5.\nAnswer: 287987769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)\/j*j)**(1\/67)\/(j**(3\/2))**(3\/34))**(-4\/3) assuming j is positive.\nAnswer: j**(1877\/10251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2. Let l(h) be the first derivative of 116*h**3\/3 - 1013. Determine c(l(f)).\nAnswer: 40368*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2121 + 2261. Solve -148 = 4*l - p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suuohssgyouy. What is prob of picking 2 s, 1 y, and 1 h?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(24\/18)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p + 1. Let k(i) = -26*i - 12. Determine -2*k(q) + 6*u(q).\nAnswer: -14*q + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3, -5*m = -2*t - 3*t + 40. What is the remainder when 6\/(-9) + 35\/3 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 - j**3 + 5*j**2\/2 + 5*j + 12. Suppose -15*n + 18*n + 12 = 0. What is d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 33728 = -48*j. What is the lowest common multiple of j and 320?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + n**2 + 14*n + 8. Let u(s) = 2*s + 1. What is -l(w) + 5*u(w)?\nAnswer: 2*w**3 - w**2 - 4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z + 3. Suppose -70*a - 608 + 398 = 0. Let m(s) = s**3 + 19*s - 5. Calculate a*m(v) - 5*c(v).\nAnswer: -3*v**3 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/2, -3, 3, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-117)\/(-42) - 0 - 4\/14. Suppose -3\/4*t**4 + 3\/2*t - 3*t**2 - 1\/4 + n*t**3 = 0. Calculate t.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.82. Let q = 0.32 - 0.2. Let j = q + n. Which is bigger: -7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323.95027 - 0.05027. Let d = 324 - x. Sort -2\/13, d, -2\/45 in increasing order.\nAnswer: -2\/13, -2\/45, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + f)*(-2*f**3 + 0*f + 0*f) + 324*f**4 + 1194*f**4 - 257*f**4.\nAnswer: 1267*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-1 - -5 - 2)) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/(-6)*(-261)\/(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1634, -3102, -4580, -6074, -7590?\nAnswer: -9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8*h + 11544 = 0. List the prime factors of (-80)\/120 + h\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (18 + -6) - -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6349.46 milligrams in micrograms?\nAnswer: 6349460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3562, -3760, -3958, -4156, -4354?\n\"Answer: -198*h - 3364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -47*f + 43*f. Suppose 0 = f*h - 13*h - 9910. Let n = h - -3037. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 4:23 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.411935ng to micrograms.\nAnswer: 0.005411935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -35*q - 17. Let f be o(9). Let v = 523 + f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25510637 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5413*p**3 - 6*p**2 + 28*p - 91. Let k be i(3). What is k rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/27 and -76\/2583.\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116205611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -31*g. Let r(j) = -2854*j. What is r(k(q))?\nAnswer: 88474*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Let v = 3.02 + b. Let l = v - 5.02. Put l, -0.1, 1 in increasing order.\nAnswer: l, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*((i*i**(-2\/11)\/i)\/i)\/i)**(-14)\/((i\/(i**0*i))**(38\/7)\/(i\/(i*i\/i**2*i*i)*i\/(i**(-3\/8)*i))) assuming i is positive.\nAnswer: i**(14397\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 409?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 117*f**2 - 83*f - 1454. Determine m(-58).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.2. Let p = 1 - o. Let g = -0.5 + p. What is the second biggest value in g, -4, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3833*-0.1\nAnswer: 383.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.04, -0.5, 2.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -87340, -174927, -262516, -350107, -437700, -525295, -612892?\n\"Answer: -u**2 - 87584*u + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -20. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*o + 16*o + 1150 = 100 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, r - 2*i + 0 - 1 = 0. Suppose r*m - 4*m = -327. Suppose -4*j + 2*g = -1006 - 272, 0 = -j + 2*g + m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -53 + (5 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 9\/2 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25, 5.57, 0.5, -2, 14.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**0*n)\/((n\/n**(-1\/7))\/n))\/(n**(-10)\/(n*n**(-6)*n)))**(-19) assuming n is positive.\nAnswer: n**(-1178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12325302361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42351445, -42351446, -42351447, -42351448, -42351449?\n\"Answer: -t - 42351444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4452 and 25\/72.\nAnswer: 26712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.08874um to millimeters.\nAnswer: 0.00908874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 3*b**2 + b + 3. Let c be h(-3). Suppose -4 = 3*j + 2. Is 43 a factor of 148\/1 + (c - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*n - s - 12, 4 = 2*n - s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 25 + 432\/(-27) + (0 - -96)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42829 - -42831. Let i(m) = -3*m - 4. Let j be i(-4). Solve 2*l + 3*n - a*n - 2 = 0, -4*n = -j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2925*i*p**3 - 5426*i*p**2 + 1 wrt p.\nAnswer: -17550*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 541533?\nAnswer: 541525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -26*u - 32. Let v(r) = -1. Let o(f) = -h(f) - 4*v(f). Let a(p) = 25*p + 35. Let x(k) = -4*a(k) + 3*o(k). What is the first derivative of x(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17252947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104106, 208162, 312204, 416232?\n\"Answer: -7*u**2 + 104077*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:30 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2 + 165*k + 162 = 0.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -777 + 777 - 107*n**4 + (1 - 1 + 2*n**2)*(1 - 1 + n**2).\nAnswer: -105*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 279.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:54 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + -132531?\nAnswer: -132500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561342.\nAnswer: 2, 3, 93557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*2) + (2*sqrt(65) + sqrt(65))\/sqrt(5).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from bkbmmkkmqqqmbmqmkmmm.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3403\/(-747)*-9*3\/(-3)*(-3)\/1\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.974518 litres?\nAnswer: 3974.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -83, -8, 1 in descending order.\nAnswer: 3, 1, -4, -8, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003808 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 46*o**5\/5 - 28*o - 122. Differentiate k(i) with respect to i.\nAnswer: 184*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 - 6 - 33\/(-11)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116502021 divided by 4.\nAnswer: -116502021\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*x + 27, -4*x + h = 1 + 14. Let q be ((-2)\/x)\/(2\/6). Suppose -4*r + 10 = 3*c, -q*c = 3*r + 2 - 9. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66430.\nAnswer: 2, 5, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**5\/20 - r**4\/3 - r**3\/3 + 2*r**2 + 3*r. List the prime factors of n(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - 3\/4. Suppose -3*q + 5*r = -8, -4*q + 28 = -3*r + 10. Suppose -q*i - 30 = -21*i. Which is the smallest value? (a) -0.1 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 80, 119, 156, 191, 224?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(1 + (-5)\/2). Let u(p) = p**3 - 3. Let q be u(0). Let w be (-2 + 2)*1\/(-2). Which is the closest to w? (a) d (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*36\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2717*o + 9 = -5*d + 2713*o, -3*o + 37 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Let k be -3*-3*10\/(-225). Which is the nearest to -1\/4? (a) w (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1856000 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+-2552.6\nAnswer: -2552.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1)*(-16)\/(-16). Let s(q) = 59*q**2 - 6*q - 5. Is 7 a factor of s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/3)\/f))\/(f\/((((f\/f**3)\/f)\/f)\/f)))\/f**(-11\/2)*(f\/(f**4*f)*f)\/(f*f*f\/f**(1\/6))*f**(-2\/5)*f**(1\/5) assuming f is positive.\nAnswer: f**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 53403 (base 9) to base 4.\nAnswer: 20213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 10. Let x(h) = 682*h + 27. What is 4*v(i) - x(i)?\nAnswer: -670*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -6*c - 15. Solve c*g - g = 4*l + 8, 6 = g - 4*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 3, o: 1, i: 7, a: 4}. Give prob of picking 1 i, 1 o, and 1 t.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17606529901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4231112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95706*o**3 - 2*o**2 + 6355318*o.\nAnswer: -574236*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2, -1592, -85 in ascending order.\nAnswer: -1592, -85, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-50) + -2)*(-23)\/46\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(208) + sqrt(208) + sqrt(208) + sqrt(208) + 0 + sqrt(208) - sqrt(208))*-6 - sqrt(208))*3 + (sqrt(208) - (0 + sqrt(208) + 4)) + -3))**2.\nAnswer: 105000*sqrt(13) + 29251225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -288 + 290. Solve -4*z + l = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12133*c**3 - 7*c**2 + 5*c + 3. Let i be v(4). Let n(o) = 310384*o - 7 + 1 + i*o + 70335*o. Let a be n(-7). Round a to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.64 and -40.\nAnswer: 505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 27 - (-15 + (1 - -14)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.103 + -17.103. What is the fourth biggest value in b, -294, -1\/8, 2\/13?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76832 divided by -112?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 33293*i - 432812. Determine x(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 976\/40*2\/(-32) and -23\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 + 12*t. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.03, 17, 6, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)\/(7 + (-480)\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 2. Let r be y(-4). Let d(q) be the third derivative of 41*q**5\/60 + q**4\/24 - q**3\/2 - 9*q**2. Is d(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 3, -0.4, 2\/5, -0.07, -7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = -5*q, p + 0*p - 4*q = 8. Let k be (-4)\/(-2) + -3 + p. Suppose g - k - 1 = 0. Solve 0*u = -g*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07184 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120243150 divided by -3?\nAnswer: 40081050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 45272455*n**2 + 10*n. Let t(r) = -r. Give t(o(d)).\nAnswer: -45272455*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*z + 24 - 154 = 331*z - 169*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/21 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1509499\/5555 + 70\/1111. Let q = b - 271. Factor 2\/5*h**2 + 2\/5 + q*h.\nAnswer: 2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -17248, -4, 39 in decreasing order.\nAnswer: 39, -1\/3, -4, -17248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 2332*w**2\/7 - 303416*w - 53619440.\nAnswer: 2*(w - 1810)*(w + 322)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:05 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 28. Let q(a) = -107*a - 170. Let u(y) = 6*n(y) + q(y). Let w(h) = 5*h**2. Calculate u(w(o)).\nAnswer: -565*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -99\/29 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqqbb. Give prob of sequence bbq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2. Let j(t) = -191160*t**2. Calculate j(f(n)).\nAnswer: -6881760*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505428194 - -695?\nAnswer: -1505427499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*b - 7*f + 51, -12 - 6 + 0 = -3*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/5712 and 13\/1496?\nAnswer: 62832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6796\/20379 + -1\/6793. What is the third smallest value in g, -66, -1\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 323442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 622641203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f + 169. What is u(10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*a**4 + 5*a**2 - 41545*a wrt a.\nAnswer: -768*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 1 w when three letters picked without replacement from znmnzaiwm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let x(o) = 372*o**2 - o. Is x(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2508 by 5.\nAnswer: -2508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 5*v - 4. Let x be -19 + 18 + (-9 - 0). What is p(x)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*o**2 - 53*o wrt o?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 81424389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11505 divided by 5.\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 1482516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7932, 31749, 71444, 127017?\n\"Answer: 7939*p**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0369111 rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95 and -482.\nAnswer: -45790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 - 2*p**5\/15 + 3*p**4\/4 - 17*p**3\/6 + 53*p**2. Let a be v(-10). Solve 4*b = a + 1, 2*w + 2*b = -6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 274*z - 272*z + 12, 5*x - 3*z + 14 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29237.9 - 29238. Suppose v = -0*v + 4*x + 19, 0 = 2*v + 2*x - 8. Let t = 3 - 8. Put v, w, t in ascending order.\nAnswer: t, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(6\/8484) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -107. Suppose 2*k + 29 - 194 = j, z*k - 170 = 2*j. Suppose -9*r = -4*r - k. Solve 5*n + r = 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*b**2 + 19*b**2 - 22*b**2 + 3*b - 3*b + 2*b**2 + (-1 + 1 + b)*(2*b + 1 - 1).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 26 = -3*j. Suppose -4*d - 63 = -v, 3*v = v - d + 171. What is the remainder when v is divided by j - (-5)\/((-10)\/(-8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - 2 - (-1)\/2. Calculate the common denominator of -37\/76 and (z\/(-6)*1)\/((-6)\/(-113)).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - 72*q - 4 + 4 + 5*q**3 - 16*q**3.\nAnswer: -4*q**3 - 72*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 3*l - 3*l)*(-12 + 26 + 17) to m*l + n and give m.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5965340*n**3 - 2*n**2 + 3652298 wrt n?\nAnswer: 17896020*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:49 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -19160.781 to the nearest integer.\nAnswer: -19161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2362.885 to the nearest integer.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12539*a**3 + 4 - 4 + 11460*a**3.\nAnswer: -1079*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 3. Let a(n) = -27*n - 20. What is a(c) - 4*o(c)?\nAnswer: -39*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 11. Suppose -n = -3*n - m. Let v = 40 - n. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6727*b + 6762*b - 1680 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -53 + 2147*p - 2174*p + 242. Let i be g(7). Which is greater: i or -5\/88?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2778.\nAnswer: -833.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 - 3317*p**2\/3 + 11002489*p\/6.\nAnswer: p*(p - 3317)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5 = -12*v. Let u(t) = 13*t**2 + 2*t + 1. What is u(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, 2, 125 in decreasing order.\nAnswer: 125, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:47 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 701 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/71 (b) -1\/5 (c) -4.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -577*c**2 + 5438*c - 4. Let g(a) = 1750*a**2 - 16315*a + 13. Let x(k) = 4*g(k) + 13*u(k). Find the second derivative of x(o) wrt o.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71712 is divided by 4799?\nAnswer: 4526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by -27?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 - -4.2. What is the third smallest value in x, -2, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2. Let i(d) = -d. Let j(b) = -9*b. Let u(r) = -22*i(r) + 2*j(r). Calculate k(u(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**5\/5 + 36406*f**4\/5 - 10926116*f**3 - 1810907592*f**2\/5 + 1898432240*f - 1101416000 = 0. What is f?\nAnswer: -37, 2\/3, 4, 3050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (5 - (3 + 1 - -10)) + 8 + -63\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140354*d**3*f*o**2 + d**3*o**3 + 2*d**2*f*o**2 - 3*d**2*f + 14874*d**2*o**3 + d*f*o wrt d?\nAnswer: -842124*f*o**2 + 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 157*r - 135*r. Sort 38, 7, r in decreasing order.\nAnswer: 38, 7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20276, -40598, -60910, -81206, -101480, -121726, -141938?\nAnswer: -162110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313 = -30*y - 1073. Solve j + 5 = 6*v - y*v, -j - 11 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 77*f**3 + 15*f**3 + 3.\nAnswer: -62*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 27a?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - 1*sqrt(132))*4)\/(sqrt(12) + (sqrt(588) - -1*sqrt(588))) - (sqrt(1331)*2 + sqrt(11) + -1 + sqrt(11) + -2))**2.\nAnswer: -718*sqrt(11)\/5 + 1419716\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96*d*g**2*v - 9*d*g**2 - 4*g**2*v - 43*g**2 - 2*g - 2*v wrt d?\nAnswer: -96*g**2*v - 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1199*f - 504*f - 406*f - 107*f in the form m*f + u and give m.\nAnswer: -2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 2*y + 100. Let m be o(0). Suppose -3*f + 44 = -m. Suppose -u - 4*u - 3*c = -47, -5*u = 2*c - f. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00123759956 rounded to 7 dps?\nAnswer: 0.0012376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*-6*-5*((sqrt(304) + 0 + sqrt(304) + sqrt(304))**2 + -4 + 4).\nAnswer: 492484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122112020201021 - -100?\nAnswer: 122112020201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -69, -8, 901 in increasing order.\nAnswer: -177, -69, -8, 901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l - 0. Let q = 0.06 - 4.06. Let g = 1.7 + -2. Which is the nearest to l? (a) g (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let i(h) = 713*h**2 + 69*h + 69. Let n(q) = -42*q**2 - 4*q - 4. Let b(x) = 4*i(x) + 69*n(x). Calculate w(b(z)).\nAnswer: -2116*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18256153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 2, n: 2, u: 5, p: 3, e: 2}. Give prob of sequence kuu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 439\/7. What is the nearest to -0.1 in 0, 3.9, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 2, p: 9}. Give prob of sequence fpp.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4648835346 to the nearest integer?\nAnswer: 68182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1)*7\/21. Let c(b) = 3*b**2 - 7*b - 6. Let f be c(-1). Put 3, f, p in ascending order.\nAnswer: p, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 56*d**2 + 4 - 1 in the form h + i*d**2 + p*d and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -135358.\nAnswer: 2707.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067649 rounded to 4 dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**5 - 15*c**4\/2 - 140*c**3\/3 + 255*c**2 + 1575*c + 194. Let a(t) = 0. What is t?\nAnswer: -3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3149190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 0)*(2*d**2 + 0*d**2 - 4*d**2) + (-1 + 4 - 2)*(-3 + 3 - 2*d**2) + (d - 107 + 32 + 37)*(3 - 3 + 3*d) to n*d**2 + f + l*d and give l.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 56. Let p be s(-19). What are the prime factors of (-1 - -5)\/(p\/157 - 0)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 k, and 1 o when four letters picked without replacement from lkqokokqqtqtok.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let w(f) be the first derivative of f**3\/3 + 128. Calculate m(v) + 3*w(v).\nAnswer: 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 3*g**2 - 8*g + 10. Let q be 6*(2 + 8\/(-3)). Let l be q\/(-22) - 636\/(-132). What are the prime factors of u(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154.55 millennia to decades.\nAnswer: 15455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1867, 0, 70, -2, -5, 2, -4 in increasing order.\nAnswer: -5, -4, -2, 0, 2, 70, 1867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + 50 - (1 - 5)) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -84337335 divided by 28112445\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 2. Let b be a(-5). Suppose -8 = -2*x + b. Suppose -2*m = -0*m - 3*i - 8, -5*i - x = -2*m. Solve 0*s - m*p = -s + 2, 4*s - 8 = 5*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 100*l - 84. Give t(-49).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = q - 3*q - f, -4*q - 2 = -3*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d - 4. Let l(h) be the third derivative of -h**4\/24 - h**3\/6 + 22*h**2. Let r(j) = -j. Give d*r(m) - 2*l(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25808*k - 117 = 25691*k. Let x be ((-4)\/1)\/(0 - -1). Let y be x\/18 + 2\/9. Sort y, -4, k in decreasing order.\nAnswer: k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2244*d + 2651. List the prime factors of o(13).\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmdmxrrrmmmmm. What is prob of picking 1 m and 1 d?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 183577 - 35029 = 83710. What is the lowest common multiple of 9 and b?\nAnswer: 129564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -754*w - 75. Let m be s(-4). What is the greatest common factor of 51 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 1, z: 8}. Give prob of picking 1 n, 1 d, and 1 z.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07092 + 0.02908. Sort a, 0.3, 12, -2\/5, -4 in descending order.\nAnswer: 12, 0.3, a, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -2 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6533 is divided by 647.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.039606081 and 0.1.\nAnswer: 0.139606081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -12 + -2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 195*r**2 - 320*r**2 - 349*r**2 - 280*r**2 to m*r**2 + w + o*r and give m.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + k + 587, 0 = -6*u + 4*k + 1166. Let i = -45 + 67. Calculate the remainder when u is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 119 = 5*i, 2*s - 13 = -i - s. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377038 (base 9) to base 14.\nAnswer: -5d24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/4 - 3*c**3\/2 + 15*c**2\/4 - 2*c = 0. Calculate c.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1816 and 242.\nAnswer: 219736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 - u - 1. Suppose -4*p + 5*g + 68 + 39 = 0, 3*g = 3. Suppose -16 = -11*b + p. Suppose b*x = -x - 5. Determine l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.4 and -29904?\nAnswer: -101673.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1836 + 2756. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3094 and 1183.\nAnswer: 40222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:38 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + x + 8 = 0, 0*x + 4*x = -2*a - 12. Let c be (2\/(-5))\/(12\/(-60)). Let p(r) = -c + r - 5*r - r + 3*r. Give p(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 61 = 51. Calculate the remainder when 19\/((-4 - -2)\/(-1) + -1) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2670 divided by -2\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -230, -499, -762, -1019?\n\"Answer: 3*s**2 - 278*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 144010 to the nearest one thousand.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04743415 to three dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 14*z**2 + z - 6. Determine v(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o - 1435. Determine n(-89).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t)\/(t**(-2\/5)\/t))\/(t**0)**4 assuming t is positive.\nAnswer: t**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -11958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*s - 74 + 74)*(0*s**3 - 3*s**3 + s**3 + 1574 + 19*s**3 - 1574 + (-s**2 + 0 + 0)*(0 + 0 + s)).\nAnswer: 448*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + 13229 - h - h**4 + 3*h**3 - 13224 in the form x*h + g*h**2 + q + n*h**3 + w*h**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 234121240 (base 5) to base 10\nAnswer: 1082695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170048985?\nAnswer: 3, 5, 11336599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1513*j - 363127. Determine a(240).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 k when three letters picked without replacement from {k: 14, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Let y(d) = -3*d**2 - 2*d - 2. Let i(r) = -4*r**2 - 3*r - 3. What is x*i(k) - 3*y(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/12 - l**3\/6 + 7*l**2\/2 + 127*l. Give i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1230044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r\/r**(1\/3)*(r**(2\/11)*r*r)**38 assuming r is positive.\nAnswer: r**(2824\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38739321.\nAnswer: 3, 4304369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -16\/15 (c) -10\/663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144166 is divided by 1472?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19352567 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2847 and 9490?\nAnswer: 28470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 448173*m**2*w - 14*m*w + 33284187*w wrt m.\nAnswer: 896346*m*w - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-56)*(-11221)\/(-92974)\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d*d\/(d\/d**(-2\/5)*d)*d))\/d)**(-28)*(d**(1\/3)\/d)**(-24) assuming d is positive.\nAnswer: d**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021238.2 rounded to the nearest one hundred thousand?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27\/5*f - 4\/5*f**4 + 37\/5*f**2 - 3\/5*f**3 - 9\/5 = 0 for f.\nAnswer: -3, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -155300507 - 4?\nAnswer: -155300513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -95, -186, -345, -596, -963, -1470, -2141?\nAnswer: -3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 810 - 15083. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41926955 divided by 35?\nAnswer: 1197913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-66)\/(-9)))\/(15\/20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n - n**2 + 4*n + 9 + 4*n - 33*n. What is the units digit of l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8642, -17282, -25922?\nAnswer: -34562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.159 + 0.809. Let h = u + 17.4. Which is smaller: h or 27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*z = -20, -10 = -g - 3*z + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + 1110111111110100010010?\nAnswer: 1110111111110100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 152*h**2 - 5731*h - 1826. What is i(38)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -21. Suppose 3*j + q = -0*j. Let x be (2 - 1)\/((-4)\/j). Solve i + 2*i - 2*s - 20 = 0, 0 = -5*i - x*s + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 5*k - 10. Let a be v(5). Let w = a + -122. Let z be w\/((-539)\/14) - (-97)\/11. Solve -5*j = 5*h - 1 - 14, 0 = -3*h - j + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 0)*(0*a - a + 0*a) - 3*a + 4*a + a + 1586 - 47*a - 1586.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -136*z + 510. Is 4 a factor of w(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-302)\/4440 - (-7234)\/401487 - 14\/(-1880)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 i, and 1 h when four letters picked without replacement from {i: 3, u: 2, s: 1, o: 6, h: 4, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + g = -13, 3993*g - 3992*g = 2*u - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*g - 676 - 1161, g + 369 = c. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3445150, 3445151, 3445152, 3445153?\n\"Answer: c + 3445149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-25) - (-16)\/10. Let g be i + (-4)\/4 + 3. Let p be 2*(-1 - -8*g\/28). What is the biggest value in 2\/13, 16, p?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = a + 1, 4*a - 2*a - 4*j = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109341151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**3*s**(3\/5)\/s*s**2*s*s**(-7) assuming s is positive.\nAnswer: s**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343 = 2*h - 4*m + 357, -h - 2*m + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8\/31 (b) -1\/7 (c) -2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413424 or 413183?\nAnswer: 413183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*c - 1)*(-2 - 8 - 4 + (0 - 4 + 3)*(3 - 3 - 2)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 347, 9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*w = -20, 0*h - w = 3*h + 42 - 72 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*j**4*v + j**4 - 3*j**3*v - 1192*j**3 + 3*j**2*v + 43*j*v + 17*j + 2*v - 2 wrt j?\nAnswer: -696*j*v + 24*j - 18*v - 7152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = s + 4, 11 = -q + 4*q - 4*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*(n**(-25)\/n)\/n)*n*n\/n**(3\/11)*(n*(n\/(((n*n**14)\/n*n*n)\/n*n*n))\/n*n)**(-42) assuming n is positive.\nAnswer: n**(7246\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -66 + 25 + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 12*y - 14. Let h = 9 - -1. Is i(h) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and 2457\/954 + 2 - 5.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+2098387139903\nAnswer: 2098387139900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 75 - 15. Let j be 12\/9*5\/((-40)\/c). Let o(p) = 19*p**2 - p + 2. Is o(j) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 = 0, 3*y - 5*y + 3*v = -9. Suppose 1377 + 1137 = y*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90248?\nAnswer: 2, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 z when three letters picked without replacement from {q: 3, z: 4, m: 13}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/6 - 5*i**2\/3 - 19*i\/6 + 5 = 0. Calculate i.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4186781 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Suppose -3*y + 2*i + 11 = -0*y, 3*y - 4*i = 19. Let q(c) = -5 + 0 + 7 + 2 - 5. Let v(l) = 7*l - 7. Let h(n) = y*v(n) - 7*q(n). What is t(h(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -105?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*o = 93*o - 4*f - 1460, 3*f - 745 = -o. Calculate the greatest common divisor of o and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*v - 24 = 205*v. Let r be 129\/v + (-4)\/(-16). What is the highest common divisor of 4 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - 131. Let g be 4\/18 - s\/54. Sort 5, 1, g in ascending order.\nAnswer: 1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 847246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**3 - 1\/3*x + 1 - x**2.\nAnswer: (x - 3)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose -3*r - 3*q + 3 = m, 1 + 2 = -r - 5*q. Which is the closest to -0.1? (a) 5 (b) r (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32628 is divided by 32622.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-340))\/((-66)\/(-8)*(-5)\/(-25))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69\/28 - 11\/4. Let v = 3315.6 - 3316. What is the nearest to 1 in b, v, -0.6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 3\/2, 1\/2, 3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(3\/54)\/(-1). Let r = 122 + -121.7. Which is the closest to 1? (a) -4 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20*t**2 + 2*t + 8. Is 51 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35*-4*5\/(-20). Suppose -1 = -6*t + b. What is the greatest common divisor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/9 - 58*a**2\/9 - 448*a\/9 - 392\/9 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and -107\/241780?\nAnswer: 241780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 8*d**2 + 2*d + 11. Let p be 0 + 5 - 26\/10*5. Let x be t(p). Let a(c) = -c**3 - 4*c**2 - 4*c - 7. What is a(x)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-12)\/u**(2\/39)*u**4\/u**(-1\/5) assuming u is positive.\nAnswer: u**(-1531\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/4*(1 + -2). Suppose -18 = 2*z + 4*v, -34*z + 31*z = -2*v + 3. What is the third biggest value in m, 6\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -54. Suppose -2*w + 355 = 3*d + 2*w, -z*d = 4*w - 472. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 27. Let y = t - 0. Suppose 0 = -3*q + 4*q + 2*n + y, 0 = -5*q - 5*n - 40. Let k(h) = -h**2 - 5*h - 3. Determine k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = -49. Calculate the smallest common multiple of 1 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/738 and -41\/6.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6180840, 6180841, 6180842, 6180843, 6180844?\nAnswer: 6180845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 2\/(-8) - 4\/(608\/(-2166)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 divided by 127?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141971793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 2, -37 in descending order.\nAnswer: 2, 0, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 0 - (-6)\/(-6). Let y be -3 + 2700\/(-425)*(-3)\/6. Is c greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1494, 1495, 1496, 1497, 1498, 1499?\n\"Answer: f + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -3*a - 20. What is the first derivative of -3*g**a - 13 - 6*g**4 + 0*g**4 wrt g?\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 7616.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/(-2)*32\/((-29120)\/35)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -70, -2\/11, -0.14, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 12*z + 1. Let p be u(11). What is p rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**5\/2 - 7*p**4\/12 - 2*p. Let r(u) = 7*u**3 + 5*u**2. Let o = 560 - 555. Give o*z(s) + 7*r(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40583916, -40583885, -40583834, -40583763, -40583672, -40583561?\n\"Answer: 10*w**2 + w - 40583927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133913190.\nAnswer: 2, 3, 5, 4463773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.09 (b) -5 (c) -9\/4 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 624897999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -1377, 3298?\nAnswer: -1377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38817797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7 - -7a98e?\nAnswer: 7aa66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18)\/30*2935\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 419 - 186. What are the prime factors of n?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15672165?\nAnswer: 3, 5, 1044811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -5*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184*h*r*w - h*r - 8199*h*w - h - 2*r*w + 69699*r - 29*w wrt h.\nAnswer: -184*r*w - r - 8199*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -47333.7054 at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 10 = -6*w. Suppose -1 = -n + 2*z, 2 - 13 = -4*n + z. What is the remainder when w is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2\/8)\/(-4). Is h at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - 7*d)*(-2 - d + 2)*(4 - 2 - 3)*(-3 + 6 + 2*d + 0).\nAnswer: -14*d**3 - 21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let x(b) be the second derivative of 0*b**3 + 0 + 3*b + 0*b**2 - 1\/3*b**4. Give x(j(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 - 436 = 5*w - h, -2*w + 3*h + 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 682 - 742.8. What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:04 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/14 + 4\/112*-8. Put 3, j, 0.5 in ascending order.\nAnswer: 0.5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550742223 to the power of 1\/2, to the nearest integer?\nAnswer: 23468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 10*u**4 + 16 - 6 + (-2 - u**2 + 2)*(2*u - 2*u**2 - 2*u) - u**4 + 0*u**4 + 3*u**4.\nAnswer: -6*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z**2 - 3*z + 3. Let g be a(3). Suppose -67 + 4 = g*s. Let v = -17 - s. Solve v*l - 5*m - 26 = -8, -2*l - 4*m = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -992 - 12*h**3 + 992 + (h - h + 2*h**2)*(3 - 3 + h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 20*l**2 - 30*l + 54. Determine p(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 15) to base 4\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 2 - -4)\/((-6)\/(-3)). Let w(y) = -17 - 2*y - 6*y + 12. Let t be w(-4). Solve -3*n + 22 = -z*n + 5*j, -2*n = -5*j + t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1252644 and -3417?\nAnswer: 1249227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0048 in -0.3, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 104.4. Let o(a) = -a - 15. Let i be o(-11). Sort -6, i, x in ascending order.\nAnswer: -6, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3779 and -149203?\nAnswer: -563838137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136758 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1529)\/3*-1 - (-9)\/27. Suppose 5*z + 1220 = 5*q, 2*q - z + 20 = w. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 19, 5 in decreasing order.\nAnswer: 19, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:23 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57445 and -0.1027.\nAnswer: 5899.6015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58753113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -d - 4*j + 8, -3*d + 31 = 4*j. Let x = -3377\/12 - -281. Is d greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -393?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-39))\/(2\/9). Let v be (2 - -129)*(5 + w). Suppose -j + 443 = o, 177 + v = j + 2*o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 + -11 - 6) + 1*-211. Let z be (-45)\/u*4*6. Let i(w) = 12*w. Let g(l) = -12*l. Give z*g(s) + 6*i(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20310102 - 13210?\nAnswer: -20323312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*o + 11, -2*y - 4*o + 12 = -5*o. Let z(p) be the third derivative of -p**4\/24 + 2*p**3\/3 + p**2. What is z(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d - 156. Let a(o) = -2*o**2 - 5*o + 314. Let t(r) = 3*a(r) + 5*n(r). Let c(u) = -u**2. Determine t(c(j)).\nAnswer: -j**4 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*j**4\/4 + 24*j**3 - 213*j**2\/4 + 87*j\/2 - 12 = 0. What is j?\nAnswer: 2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -12015342?\nAnswer: 12015330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.1 (b) 2\/11 (c) -97 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*j**4 - 2*j**2 - 18*j**4 - 7*j**4)*(1 - 1 - 1) to v*j**3 + l*j**4 + x + f*j**2 + m*j and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 9) in base 7?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 20*v - 9*v)*(0*v**3 - 2*v**3 + 0*v**3) to o + z*v**2 + w*v + d*v**3 + l*v**4 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 26*u**2 + u - 1. Let h be -4 + (4\/(-4))\/(-2)*0. Let b be 5 + -3 + (h - -3). What is the tens digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946507 is divided by 316?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 10\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 132. Let l = v - -37. Let z(y) = y - 1. Give z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 4*z = 16581*f - 16582*f - 87, -3*z + 91 = 32*f for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9 + 9*c + 2 - 1 - 5*c. Does 7 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3233524, -3233543, -3233576, -3233623?\nAnswer: -3233684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9183171*r**3 - 155984735.\nAnswer: 27549513*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 4*g, 59*o = 57*o - g + 6. Solve -2*k = 6*k - o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by ((-435)\/116)\/(2*9\/(-96)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1748, -2\/3, -0.2 in descending order.\nAnswer: 1748, 3, -0.2, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from miiammiammaimammm?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2486)\/(-8701)*-7*(-4)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001354 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1)*3\/2. Let g = i - -10. Suppose n - 5*n - 5*a + 23 = 0, 12 = 4*a. What is the lowest common multiple of n and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1485 (b) -3103\/10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3113*j**3 - 4*j**2 + 1424*j**3 + 2066 + 1314*j**3 with respect to j.\nAnswer: -1125*j**2 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2600*u - 20784. Let r be z(8). Let g be (4\/10)\/(2\/20). What is the greatest common factor of r and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68\/45 + -10\/9. Let r(u) be the second derivative of -1\/15*u**3 + j*u**2 - 1\/30*u**4 + 0 + 5*u. Factor r(k).\nAnswer: -2*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i + 3*i + 4*i + 4*i. Let o(n) = -n + 1. Let q(p) = 2*p - 3. Let t(d) = 3*o(d) + q(d). Calculate t(s(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/(-5))\/(-5)*-138. Let x = u - 114. What is the remainder when 47 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 9. What is the remainder when 209 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66487123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144818 - -144816.299925. Let j = -1.7 - v. Round j to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:06 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4921, 4921, 4915, 4897, 4861, 4801?\n\"Answer: -f**3 + 3*f**2 - 2*f + 4921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.684 + 5.54. Let s = x + -3.856. Which is the nearest to -1? (a) s (b) -14 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 637*b**2 + 811*b**2 - 8 + 143*b**2 - 362*b**2 in the form g*b**2 + v + o*b and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011111111011 (base 2) in base 5?\nAnswer: 1322434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.31 + -1.31. What is the smallest value in -1\/4, 0.3, p, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -60*v**2. Let b(o) = 53*o + 8. Let s(c) = 20*c + 3. Let y(d) = 3*b(d) - 8*s(d). What is y(m(q))?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 1\/24, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttggtfttgfsttg. Give prob of sequence ttt.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 237.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 - 230. Let s = -4\/3 - 1\/6. Let r be 14\/8 - (-11)\/44. Which is the nearest to -2\/3? (a) z (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 12*b)*(1 - 1 - 2*b**2)*(2 - 4 - 3).\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40323724?\nAnswer: 2, 7, 83, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v + 6. Suppose v*l - 4*l + 146 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(9*g - 6*g + g) - 29 - 8*g + 29 to l + v*g and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*2\/36*3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15057979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -4*s, 5*s + 7*q = 5*q + 12. Let r = s + 0. Suppose -12*d - 70 = -r*d. Which is bigger: d or -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -311?\nAnswer: 30e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + h - 1. Let a be d(0). Let p be 2 + (-2)\/(-2 - a). Solve 6 = -p*m + f, 5*m - 7 + 2 = -5*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -21. Suppose h = s*h - 30. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2085 and 2085?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 506 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - i = 11, -2*i - 28 + 31 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 3, q: 2, x: 8, l: 1, r: 2}. Give prob of picking 2 x and 1 q.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 11. Let d(y) = -9*y + 21. Let v(r) = 6*d(r) - 11*q(r). Let h be v(-3). Let u(x) = 2 + 3*x - 5*x - 2*x + h*x. Give u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1801271 at most as big as -1801270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101388 divided by -12?\nAnswer: 8449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -24. Suppose -2*y + z*y = 834. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110859345, 221718689, 332578033, 443437377, 554296721?\n\"Answer: 110859344*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361 - -375. Which is the second smallest value? (a) -2 (b) u (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5675130258031 take away 0.3?\nAnswer: -5675130258031.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.9 - -70054380.\nAnswer: 70054345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -104. Let b = 92 + m. Suppose -3*p - 2 = f + 6, -5*f = -b*p - 60. Solve -5*u - 2 = -f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -5\/2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -19*g**4\/12 + g**3\/3 + 71*g**2 - 3. Let q(n) = 75*n - 5. What is -5*o(s) - 2*q(s)?\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 t when three letters picked without replacement from tmmyyyyax.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41185 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 3*b - 7. Let g = -931 - -925. What is i(g)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 + 428. Let f(m) = 19718*m**2 - 7*m - 8. Is f(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -27. Suppose 3*v = 5*t + 20, 0 = -2*t - 0*v + b*v - 17. Let q be -2 - (4\/t + 1). Solve -5*y + 16 = q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3698 - 3692. Let c(t) = t**2 - 7. Calculate c(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/20)\/(((-170)\/60)\/(-17))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 35 + 25 - 103 + 21 + 407*b.\nAnswer: 407*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -3 in descending order.\nAnswer: 12, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.18 + 1.02. Let y = t - 13. Let n = -1.2 + y. Which is the third biggest value? (a) n (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.3 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(-3) - 3)\/((-8)\/(-12)). Which is greater: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5433 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1, c: 2, x: 2, t: 2, p: 3}. What is prob of picking 1 t and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 2950992?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 3*m - 2. Suppose 300*q = 235*q + 585. Let o(z) = 11*z**2 + 12*z - 9. What is q*p(j) - 2*o(j)?\nAnswer: 5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 38.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 10*v - 2*b - 1 = -0, 0 = -12*v - 2*v + 4*b - 78 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*q**3 + q**2 - q**2 + 63*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (68 - 38) + 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 - 30 = 0. Suppose 5*m = 7*m - p. Suppose -m*t - f + 2 = 0, 5*t + 5*f = t + 10. Solve t = r + 4*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f*f**(-1\/5)*f)\/(f**(-1\/4)*f*f*f*f**2\/f*f*f*f))**(-39) assuming f is positive.\nAnswer: f**(1521\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 452033 or 452032?\nAnswer: 452033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-5*w + 5*w + 6*w)*(10*w + 8*w**2 - 10*w)*(1 - 2 - 1)*(5 - 4 - 2) + 32*w - 32*w - 16*w**3.\nAnswer: -208*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.35977 + -0.05577. Round m to one decimal place.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-3))\/((-145)\/174).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = 5*z, -2*z + 6*z + 2*b - 14 = 0. Suppose 3*y - z*d = 24, y - 4*y = 4*d. Suppose -4*x = -y*r - 881 - 135, r = -3*x + 750. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1047789392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 1 + sqrt(17)).\nAnswer: 4*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2, 55.541, 1, -2\/13, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16708 + -16318. Which is smaller: m or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Suppose p*q = 6 + 6. Suppose 0 = x - q*c - 2, c = -4*x + 2*c + 8. Solve 5*y - x = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 4 - 357*j**3 - 5*j + 354*j**3 + 4*j**2 + 5 in the form r + t*j**3 + b*j + h*j**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6890 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(55)\/sqrt(11) + -2 + (sqrt(320) - (-2 + 1*sqrt(320))))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 6:27 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*q**3 - 139*q**2 - 128*q**3 + 14*q**3 + 2.\nAnswer: -245*q**3 - 139*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014786961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.7 - -3.7. Let z = h + 29.7. Let c = z + 2.98. Round c to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2)\/y)\/(y\/(y**(1\/6)*y)))\/((y\/(y*y**(-1\/7)*y*y))\/y**0))**(-29) assuming y is positive.\nAnswer: y**(1189\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1954 * 17.7.\nAnswer: 34585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -18*i**2 + 17*i - 5. Let o(w) = -4*w**2 - w + 1. What is -g(q) - 5*o(q)?\nAnswer: 38*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.618, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x - 2*x - 2 + 2 + (-1 - 3 + 5)*(0 + x + 0) + 3*x - 5*x + 4*x)*(6*x - 3*x + 4*x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(720)*-3 + sqrt(720) + 3 - (-3 + sqrt(720) + -1)) + 2*(sqrt(720) + sqrt(720)*-1 + -3 + sqrt(720))*5)**2.\nAnswer: -3864*sqrt(5) + 35813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4225 litres in millilitres?\nAnswer: 422.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/18)\/(26\/(24 - -2)) + 125\/42.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-48)\/36)\/(2\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 + 638019*i**3 - 285802?\nAnswer: 8*i**3 + 1914057*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8455 - -6.8455. Let m = 5.6 + -6. Which is the fourth smallest value? (a) w (b) m (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35045.19 millilitres to litres.\nAnswer: 35.04519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 2.33?\nAnswer: 2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 3*y - y**2 - 3*y + (2*y + 0*y + 0*y)*(0*y + 6*y - 2*y) - y + 0 - 4*y**2 + 0 as n + h*y**2 + z*y and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 7, 0 in descending order.\nAnswer: 7, 0, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*x + 2, -2 = 5*x + 2*m - 5. Let t be (27\/(-36))\/(x\/4) - -21. What is the greatest common factor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 22 + 3 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.02 and 345173761189?\nAnswer: 345173761190.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**3 + q**2 - q - 1. What is l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 90*k - 801. Let j(t) = -77*t + 802. Determine 6*h(x) + 7*j(x).\nAnswer: x + 808","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 8*g**2 + 12*g. Let h be x(4). Let v be (h\/300)\/(24\/(-20)). Which is the smallest value? (a) 3 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262866.\nAnswer: 2, 983, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s + 3*z + 2, 2*s = -z - 9. Let j be 2\/(1*(1 + -2)). What is the common denominator of -17\/12 and j*28\/176 + s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -5) + -23 - 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + (3 - 0) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 29, -5, 2\/7, 7, -0.4 in descending order.\nAnswer: 29, 7, 2\/7, 2\/17, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*((sqrt(304)*-2 + -1 - sqrt(304)) + 4 + -5)*-4)**2.\nAnswer: 480000*sqrt(19) + 27400000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7899.53 - -7934. Let r = 34 - f. What is r rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -7*s**6\/120 + s**5\/30 - s**4\/6 - s**3\/3 - s**2 + 20*s. Let n(m) = -m**3 + m**2 - m. Give 4*n(w) - u(w).\nAnswer: 3*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 11*o + 32. Let j(r) = 2*r - 10. Let y be j(o). Solve -4*w = -y + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 4. Let t(z) = -141*z + 1 - 6 + 136*z. Calculate 5*t(l) + 6*y(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*z - 136. Suppose 4*n = -5*y + 274, y = 5*n - 2*n + z. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79400, 79406, 79412, 79418, 79424?\n\"Answer: 6*w + 79394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18302373738 - 18302373422.999999627. Let j = p - 315. What is j rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3395520 to the nearest 10000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k)\/(k*k*k*k*(k**(5\/2)\/k)\/k)*(k*k**(-2\/3))\/(k*k\/(k**(2\/3)*k)) assuming k is positive.\nAnswer: k**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p**2 - 3*p + 2453*p**3 - 3*p**2 - 2455*p**3 - 31 + 2*p to the form c*p**3 + i + b*p**2 + h*p and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -19\/6*i**4 + 0*i**3 + 0*i**2 + 3*i + 0. Let t(j) be the first derivative of -j**3\/3 - 2106. Calculate t(k(y)).\nAnswer: -1444*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*-6*(165\/(-10))\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4, 197 = 8*x + 3*v + 223 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 - 5*q - 5. Let y be l(6). Let h be y + (15 - (1 - -1)). Let j = h - 9. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264057482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78269.\nAnswer: 23, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5580441 and 783.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 21 = -35. Suppose 3*l = -s + 7*l + 411, 2*l = -t*s + 1554. List the prime factors of s.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - 10\/6. Find the common denominator of 97\/8 and (-203)\/(-90) - x\/(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 11*n - 3*n. Let l = -1197.8 + 1198. Which is the third smallest value? (a) l (b) 1 (c) -27 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 204*l**2 - 3*l + 1. Let i be p(3). Let g(j) = 45*j + 2586. Let q be g(-37). Let b = i - q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 + t**4\/6 + t**3\/3 - 2*t**2. Is k(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 3217*i**3\/3 + 2167*i**2 - 2952*i. What is the derivative of j(l) wrt l?\nAnswer: 6434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Suppose 3*p = w*o - 3, 0 = o - 4*p - p - 13. Let c = 8 + o. Solve n + c + 10 = -3*x, -30 = 5*n + 5*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-20 + 19)) + -2 - -61?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*g + 8694 + 9098 = -257*g - 555*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 183.\nAnswer: 5\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -9.81. Let j = -0.01 + t. What is the nearest to 2 in -1\/4, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - ((1 - 0) + -3))\/1. Suppose 0*f - f + 4 = l. What is the remainder when 25 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16421762\/297 - -49888533313\/902286. Let q = p + 2\/4557. Calculate the common denominator of -139\/24 and q.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-133)\/14)\/(1\/(-2)). Let z = d + -6. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 13. Let i(c) = c**3 + 8*c**2 + 6*c - 6. Calculate the lowest common multiple of i(-7) and s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nff when three letters picked without replacement from {h: 1, f: 3, i: 2, n: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, i: 6}. What is prob of sequence iii?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110201111212 (base 3) to base 6.\nAnswer: 5211205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 59 (b) 1.3 (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 32. Suppose -9*t + 125 = -118. Let b be q(t). Solve -2*o + b*a - 27 = 0, -4*a + 9 + 12 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 19\/10 + (-3 - -2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1128)\/(-846)*780\/(-16)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024424 rounded to 5 decimal places?\nAnswer: -0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 4.8 (c) 2\/21 (d) 0.04 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -971850?\nAnswer: 5831100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*sqrt(56)\/sqrt(8).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*u**3 - 154*u + 399*u**3 - 1493*u**3 + 296*u - 142*u + 545*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 > 801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/16497 and 71\/9845043?\nAnswer: 88605387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18550 - 129359\/7. Let p = x + -70. Which is the second biggest value? (a) -3\/2 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.82 - -3.82. Which is the nearest to k? (a) 1\/9 (b) 0.3 (c) -5 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 33 - 87. Suppose 0 = -3*v - 0*v - q. Let t = v - -46. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u - 13. Let j be (-576)\/252 + -2*2\/(-14). Let s be t(j). Suppose -o - 5 = s*a - 4, 5*a = -25. Calculate the remainder when 165 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**8\/336 - 11*j**7\/210 - j**4\/12 - j**3\/6 + 26*j**2 - 2. What is the second derivative of y(n) wrt n?\nAnswer: 20*n**3 - 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -91.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 1\/6 (c) 4 (d) 1.4 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 3*f**4\/2 - 11*f**2\/2 - 19. Let d be s(4). What is the greatest common divisor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ststttsstlktts. What is prob of sequence stts?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13771 and 329.\nAnswer: 96397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 - 3*t + 2. Let i be z(-2). Let f be (6 - -1)*i\/(-14). Find the third derivative of 4*h**3 + 2*h**2 - 5*h**2 - h**f wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3 - -4*2\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062395 rounded to 5 decimal places?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3883874 to the nearest integer?\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 16. Let j(g) = -9*g**2 - g + 8*g**2 - b*g - 7. Let c be j(-5). Sort 4, c, -1 in decreasing order.\nAnswer: 4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51001*((-45)\/99)\/(7\/(-77)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -21. Suppose -u*m = -4*m - 32. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 103 = 77 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**3 + r - 3. Let x be 6 + 20\/(-5) + 4. Let p(q) = -17*q**3 + q - 5. Let l(b) = x*p(b) - 10*o(b). Find the second derivative of l(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 7*i**2 + 5*i - 4. Let k be y(-6). Suppose 0 = 2*a + k*x - 18, -3*x + 2 - 3 = -a. Let j = 10 + a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 110*a - 265. Let f(u) = -8*u + 19. Give -85*f(n) - 6*s(n).\nAnswer: 20*n - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3375 or 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 46. Is 13 a factor of (7*-7)\/(y\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160881 + -114452. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1177, 1174, 1171?\n\"Answer: -3*f + 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 2145?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2144 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 97796?\nAnswer: 2640492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(136)\/(sqrt(8) + 1*sqrt(648)).\nAnswer: sqrt(17)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Let t = -4.68 + j. What is t rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 41*i + 12. Calculate u(10).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2 + 2 + -2 + 1 - 5*(-5 + 2 + sqrt(176) + (sqrt(176) - (sqrt(176) + 1))))**2.\nAnswer: -1176*sqrt(11) + 9065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 36, 42, 50?\n\"Answer: y**2 + y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:44 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/((-7)\/34))\/2. Let c = x + -52. Let k be (-3)\/7 - 155\/c. What is the second biggest value in -3, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9634974 is divided by 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66348565*n**3 + 117577865*n**2.\nAnswer: -398091390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/10 and 131\/804?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 6:19 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 214?\nAnswer: -1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.49000089 - -1.49. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Let i be ((-10)\/(-6))\/((-22)\/(-66)). Solve o*b + 1 = i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 569, 2456, 5603, 10010?\n\"Answer: 630*g**2 - 3*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 496 = 4*t, 5*t + 0*t + 2*l = 620. Let s = t - 16. Calculate the remainder when s is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*b - 2*a + 7*a, 5*b - 5*a + 10 = 0. Suppose 2*s = -3 - b. What are the prime factors of s + (-1)\/((-3)\/42)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145979 rounded to the nearest one thousand?\nAnswer: 2146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4347)\/391 - -11) + (-1 - 11690\/(-238)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c**2 + 2*c**2 - 2*c**2)*(-8 + 9 + 11) + c - 2*c**2 - c)*(-2 + 3*c - 4*c + 0*c).\nAnswer: -10*c**3 - 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2 - 2*x**2 - 96 + 25347*x - 25364*x + x**2. Calculate c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*t = 351, -4*t - 185 = -4*n + 303. Calculate the common denominator of (n\/(-3))\/((-10)\/3) and 6\/5 - (-13720)\/(-3600).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33018 = 227*b + 18490 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11307 (base 8) in base 13?\nAnswer: 225a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 71036 divided by 2537\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18808, -37572, -56336, -75100?\nAnswer: -93864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 less than 660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = b - 5*g, -2*b - 3*b + 14 = 4*g. Suppose -3*l + b = 3. Let n be (2 + (-24)\/14)*l. Put 1\/7, 0, n in increasing order.\nAnswer: 0, 1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -372 + 653. Suppose -4*k + u = -235. Suppose -w + 16 + k = 4*h, h - 50 = -3*w. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = -i + 62*i - 912 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(6\/(-3)))\/((-30)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -283855, -567716, -851579, -1135444, -1419311?\n\"Answer: -u**2 - 283858*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -2*n**2 + 23\/24*n**4 + 0*n**5 + 0*n**3 + 11\/15*n**6 + 0 - 39*n. What is the second derivative of m(a) wrt a?\nAnswer: 528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2742 + 3622. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -73. Let v be -4 - 1 - (z + -8). Solve 5*i + 2*k + 2 = -v*i, 3*i - 4*k = -22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2. Let i(j) = -219*j. Give c(i(v)).\nAnswer: 143883*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327617287?\nAnswer: 327617287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**2 - r + 1. Let t be m(2). Let f be 20 + -10 + -4 - (-7 + 0). Calculate the highest common factor of f and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v + 5*v - 8*v + 14*v**3. Suppose -6 = -3*l + 2*b + 3*b, l + 4*b + 15 = 0. Let p(h) = 5*h**3 - 5*h. Calculate l*u(x) + 8*p(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 863759410 rounded to the nearest 1000000?\nAnswer: 864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.01 + -0.01. Suppose 4*b = 3*w - 9, 2*b + 2*b = 0. Suppose z = w*z. Which is greater: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -1. Which is the closest to -4? (a) -0.4 (b) v (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 9*y + 1. Suppose -3*h + 5*x - 55 = 2*h, -4 = -x. Let r be k(h). Let p be -1 - 1*r\/(-9). Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (103*12\/(-200))\/(48\/(-20)) and -21\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by -429.\nAnswer: -316\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832 divided by 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -410*c + 5. Let q be p(-2). Suppose -5*f + 2782 = 3*h - 1295, -f = 3*h - q. What are the prime factors of f?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8) - (sqrt(8)*-2 - sqrt(8)))\/sqrt(4).\nAnswer: -3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 1115609151906.02?\nAnswer: 1115609151906.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14*t**2 - 1623*t + 127. Calculate q(-116).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -23*u**4\/2 + u**2\/2 - 553*u. Let d(r) = -3*r**2. Determine d(o(p)).\nAnswer: -57132*p**4 + 828*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 42. Let r(z) = 39*z + 0*z**2 + l - 28 + 2*z**2. Let m be r(-20). Let s(c) = c**3 - 6*c**2 + 2*c - 8. What is s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*19*-29*133\/3857\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -117557 < -117556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19650217 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 878586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*h = -3*h + 73, 4*h = -2*o + 88. Calculate the remainder when o is divided by 7\/((-21)\/(-27)) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*c - c + 3 = 0, 3 = -c. Suppose 5*w - w - 48 = o. Suppose 2*b = -b + w. Calculate the greatest common divisor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 570 + -564. Solve -20 = -w*l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 + 348*n**3 - 6648*n**2 - 40112*n - 50784 = 0. What is n?\nAnswer: -3, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/434 and -10\/279.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 - -6) - (-1 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = j + 4, 5*j + f = 2*f + 16. Let g(r) = 83*r - 23. Is g(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqeegfgehqfeeteg. What is prob of picking 2 e?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {g: 1, y: 4, e: 8, o: 1, f: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28.5228 * 34\nAnswer: 969.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -u + 846. Suppose 0 = -7*w + 137 + u. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 135914490574 and 5.\nAnswer: 135914490579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 404 = -5*o + 10*o, -6*o = 5*r - 433. Solve -6 - o = -28*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/120 + 11*s**5\/60 - s**4\/24 - 7*s**3\/2 - 17*s**2. Let q be u(11). Let h = q + 36. Solve -z + 5 = h*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/(4\/30). Let l = a + 9. Calculate the remainder when 58 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 559201083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305 + 299 + 305 - 911 + 47*p to f + c*p and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 172 - 167 - (-84 - (0 + 1)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 17*i**2 - 2*i + 33. Give o(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16762, -16761, -16760, -16759, -16758, -16757?\n\"Answer: v - 16763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -0*i + 30. Solve -3*m - m + 1 = -j, i*m + 2*j + 15 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j + 25*j - 103*j + 22*j + 26*j + j**2.\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 2*h**2 - 2*h - 1. Let s be v(-1). Let z = -1\/658 + 1321\/3290. What is g in 0 - 2\/5*g + z*g**s = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 minus -53?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*b + 100, -4*f - 11 = -27. Suppose -b*h = -16*h + 5976. Is -748 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53a3e3 + 3?\nAnswer: 53a3e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -860, -1671, -3038, -5147, -8184?\nAnswer: -12335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*z**4 - 5*z**3 + z**2 + 75*z + 36776821 with respect to z.\nAnswer: 140*z**3 - 15*z**2 + 2*z + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3 + 9 = 0. Let d(s) = -s**3 - 12*s**2 - 10*s + 14. What is the remainder when d(-11) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18064 is divided by 4514.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 250, 514, 754, 958, 1114, 1210, 1234, 1174?\n\"Answer: -2*j**3 + 278*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 33.98?\nAnswer: 33.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) 0.3 (b) -5 (c) -306.798\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 103 + 419*m**2 - 3*m**4 + 426*m**2 + 4*m**4 - 844*m**2 + 7*m to z + s*m**4 + f*m**3 + u*m**2 + i*m and give z.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 2\/3, 1, -2, 0.0452?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1420732887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 7*h + 8. Let j be u(4). Let q be 14*3*j\/126. Solve -q*l + 10 = m - 0, 4*m - 3*l - 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:16 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2586 divided by -431\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 296158019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*v)*(-58*v**2 - 4*v**2 - 8*v**2 + (-6*v + 3*v + 4*v)*(1 - 1 - 2*v) + 0*v**2 - 3*v**2 + 4*v**2).\nAnswer: -142*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 4*p + 4. Let o(m) = m**2 + m + 1. Let l(u) = -d(u) + 4*o(u). Let s(n) = -n**2. Give s(l(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(833))**2 - sqrt(833)) + ((-2 + sqrt(833))*-1)**2 + sqrt(833) + 3 + -4 + sqrt(833)*2 + 0.\nAnswer: -21*sqrt(17) + 2502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1748690, 3497391, 5246102, 6994823, 8743554, 10492295, 12241046?\n\"Answer: 5*i**2 + 1748686*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -2\/3*s**3 + 1\/30*s**5 + 0 + 0*s + s**2 + 0*s**4. Find the first derivative of w(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25665 + -1283309\/50. Calculate the common denominator of i and ((-34)\/(-2465))\/((-18)\/117).\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + 9*b**2 - 3*b + 17. Let i(l) = -l**3 - 2*l**2 + l - 4. Let d(c) = 9*i(c) + 2*m(c). Factor d(t).\nAnswer: -(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(7 + 749\/(-105))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 20. Let n(a) be the third derivative of 0 + 1\/240*a**6 + 1\/120*a**q - a**2 + 0*a + 0*a**3 - 7\/240*a**5 - 1\/48*a**4. Find u such that n(u) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {w: 2, h: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 140679 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: Rearrange (0 + 1 + 4)*(-43*g + 26*g - 110*g) + g + 4*g - 3*g + (-g + g - 2*g)*(1 - 1 - 2) + g - 2 + 2 to u + i*g and give i.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 5. Let t be g(-13). Let l = 107 - t. Calculate the remainder when l is divided by (-1)\/(2*1\/(-34)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*3 - (sqrt(17) + (sqrt(17) - sqrt(68)*-2)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*b - 940. Suppose -4*o + 2*h + b = 0, o - 16 - 13 = 5*h. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*a = 143*a - 212. Solve -31*o + 27*o + a = 0, 0 = -4*k - 4*o + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 3259.\nAnswer: 231389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 574\/(-41)*(-6)\/21. Let f(h) be the second derivative of 1\/10*h**5 + 0*h**o + 0 - 1\/21*h**7 + 0*h**2 + 7*h + 0*h**6 + 0*h**3. Let f(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -170193.74965?\nAnswer: -170193.54965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6658986396 + -0.1\nAnswer: 6658986395.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 17 + 6)*(1 - 5 + 5)*(-3*q + q + q)*(145*q - 315*q + 135*q) in the form t*q + j + x*q**2 and give x.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.305 * -0.1424\nAnswer: -0.185832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 19*t - 389. Let c be k(23). Let r(j) = -35*j**3 + 2*j**2 - 1. Let u be r(-1). Let n = u + 44. What is the greatest common factor of n and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -4, 17, 2, 5 in ascending order.\nAnswer: -4, 2, 5, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 divided by -38?\nAnswer: -319\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17, 893, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 2*q**4 - 2*q**4 + (-3*q + 3*q - 2*q)*(429 - 429 + 9*q**4).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(6*(sqrt(832) - (-4 + sqrt(832)*-1)) + (sqrt(832) - (sqrt(832) + sqrt(832)*1 + -1 + sqrt(832))) + sqrt(832) + 0 + sqrt(832) + 0))**2*3.\nAnswer: 921600*sqrt(13) + 23123136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298998370.\nAnswer: 2, 5, 11, 83, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4823 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(8\/57) - (4 + 4 + -16).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbw. What is prob of picking 1 b and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650638149.\nAnswer: 3, 7, 89, 337, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 98. Let h(t) be the second derivative of b*t + 0 - 4\/7*t**2 - 1\/42*t**4 - 4\/21*t**3. Suppose h(d) = 0. Calculate d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-46)*t)\/t)**(4\/11) assuming t is positive.\nAnswer: t**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -10, 0.3, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710536 is divided by 320.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23651245.\nAnswer: 5, 23, 205663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17579*s**5 + 49*s - 58 wrt s.\nAnswer: 351580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -4 (b) 0 (c) -2\/21 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.1. Let d = -62.4 + 62. What is the nearest to 1\/2 in 1, d, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 3*s, -2*d = -s + 2*s - 13. Let j(h) = h + 17. Let y = -2 - 7. What is the lowest common multiple of d and j(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479.766 centuries to decades.\nAnswer: 4797.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14712 + -13?\nAnswer: 14677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - -0.1. Let x = 0.68 + 0.12. Let g = x + 1.2. What is the nearest to -0.2 in a, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Let l = 6\/169 - -151\/507. Which is the closest to -1? (a) h (b) 1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 309*f + 4447. Determine l(-17).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 4 + 2 + 4*h**2)*(0 - 1 - 1 + (-3 + 3 - 1)*(3 - 4 + 2))*(57 + 9 + 0).\nAnswer: -396*h**2 + 396","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-25)\/30*(-14)\/35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - 133. What is the tens digit of k\/(-36)*320\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4508995484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1248 and -0.4.\nAnswer: -0.84992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*(-60)\/8. Let t(s) = 4*s - 10. Let b be t(m). Let h be 4 - b\/(3 - -2). Solve -h*p = -6*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 - 58137*m**2 + 281746416*m - 844716096 = 0. What is m?\nAnswer: 3, 9688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44880 divided by -2?\nAnswer: -22440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -42, -138, -282, -480, -738, -1062, -1458?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 - 3*g**3)*(-8*g + 7*g - 8*g).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -16, -37, -76, -139, -232, -361, -532?\n\"Answer: -t**3 - 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*v + 3702 = 0, 5*q + 5*v - 1490 = 4680. Suppose 4*r = p - 261 - 133, r - q = -3*p. Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5075 - -5100. Solve -23*g + 6 = -b*g, -a - 3*g - 13 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9460 and 6020.\nAnswer: 66220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxlf when four letters picked without replacement from fbfjfttftjlfxj.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52504319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -29.4. Let q = -65 + 453\/7. Let p be (9\/25)\/(1\/25*15). Which is the fourth biggest value? (a) q (b) 4 (c) p (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 - 9*p + 10. Calculate the least common multiple of 2 and z(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**6\/120 + 7*q**4\/24 - 9*q**2\/2 + 5*q. Let c(r) be the first derivative of h(r). Find the second derivative of c(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 40.4?\nAnswer: 282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59087195*z**4 - 2*z**3 - 29994024*z**2 wrt z.\nAnswer: -1418092680*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4674)\/42 - 6\/(-21). Let n = 115 + m. Solve -n*k + 5 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438009598, 438009594, 438009588, 438009580, 438009570?\nAnswer: 438009558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5823172807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 792485776 to the nearest integer?\nAnswer: 28151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 1. Suppose 10 = f + 2*g, -2*g + 20 = f + f. Suppose 0*t + 5*t = -f. Let n be q(t). Solve -2*s = l + 2*l + 5, 0 = -3*s + 5*l - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = o - 3, 0 = -5*o + 5*l + 4 + 16. Solve o*f = -2*m - 0*m - 23, -m - 16 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**30*(d**(-2))**24)\/(d*d**(-1\/8)*d**(2\/11)\/d*(d**(-2\/3))**(-5)) assuming d is positive.\nAnswer: d**(2273\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-684)\/247)\/(-12)*-1.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + 22*s + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1917361.02699926 + -1917361. Let f = t + -0.027. Round f to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*s - 3*a + 2*a, 2*s - 5*a - 65 = 0. Suppose -3*g - 1 = -4*j - s, -g = 4*j - 1. Sort -2, -5, j.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 6. Let v(y) = 6*y + 12. Let t = -23 - -18. Let f(j) = t*z(j) - 2*v(j). Is f(3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 10. Let m be y(-7). Let u(s) = s**2 + s - 1. Let t(d) = 3*d**2 + 5*d - 2. Let z(w) = m*u(w) - t(w). What is o in z(o) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/79 (c) 4 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23560784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 4. Let q(s) = -s - 1. Suppose 2*d + 8 = 4*d. Suppose d*u + 3 + 5 = 0. Let p be (-1)\/(u\/6*-3). What is p*z(k) - 4*q(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 4*a - 2*a)*(-70 + 36 + 41)*(-173*a - 172*a + 45*a - 248*a + 119*a) to the form i + k*a + t*a**2 and give t.\nAnswer: 6006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18\/15)\/(2\/20) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341431 (base 5) to base 8\nAnswer: 27524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than -1196\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 17*w**3\/3 - w**2 + 4*w - 7. Let d be k(3). Let u be (2 - 4) + d - (4 - 1). Round u to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 - 6046*f\/3 - 2016 = 0.\nAnswer: -1, 3024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d6 - -b?\nAnswer: -5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17100 and 13680?\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2199*p = -2193*p - 6. Let z(o) = -8*o + 2. What is z(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2. Let f be c(1). Let y(m) = 17*m**2 + 20. Let o(r) = 4*r**2 + 5. Let l(p) = -9*o(p) + 2*y(p). Let v(w) = -w**2 - 3. Calculate f*l(a) - 5*v(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -47*l - 15. Let w be g(-3). Let a = -77 + w. What is the remainder when a is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, 3*x - 15 + 3 = -r. Let k be (-1 + 2)*(-5 + x) + -759. What is k rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) 0.36 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*f + 5, -5*f - 9 = p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150697459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/12)\/((-14)\/(-21)). Let s(w) = 1 - 69*w**2 - w + 203*w**2 + 129*w**2. Is s(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -35*v**6\/3 - 39*v**3 + 2. Find the third derivative of d(r) wrt r.\nAnswer: -4200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25197*h - 34023 with respect to h.\nAnswer: 25197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008126015 rounded to 5 decimal places?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 9*s**4 - 602*s**3 + 4541*s**2 + 5732*s + 580 = 0.\nAnswer: -1, -1\/9, 10, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + r**4 - 3*r**3)*(r + 3 - 3) + r**5 + 2*r**5 - r**5 + (-3 + 3 - 7*r**2)*(-r**3 - r**3 + 0*r**3).\nAnswer: 17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/5)*b)**(-1\/27))**12*(b**(-1))**15*(b\/(b*(b\/(b*b*b**(1\/4)*b))\/b*b))**(-15) assuming b is positive.\nAnswer: b**(-991\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:33 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.62213565 rounded to two dps?\nAnswer: -62.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Let t = 9 - u. Suppose -5*h - t*x = -0*h - 45, -x = -5. Solve 3*k + 11 - 1 = 5*d, h*d = 5*k + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 9) in base 15?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2921*s = -2917*s - 3*y - 926, 5*s = -4*y + 1204. Calculate the greatest common factor of 24 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -961*p**7\/21 - 17*p**4\/6 + 5*p**3\/6 + 6617*p. What is the third derivative of n(w) wrt w?\nAnswer: -115320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 93, 110, 145, 204, 293, 418?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 - 50*f**2 + 187*f + 1. Let c be x(11). Solve 3*y = -5*q - 1, -2*q - 5*y - c = 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655, -774, -895, -1018, -1143?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -53294, -0.05, 4\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1897511*q**4 + 8042765?\nAnswer: -7590044*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 6*c - 2*c - 1 + 0*c**4 + 20*c**4 + 10*c as y*c**4 + k*c**3 + d*c + m*c**2 + q and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.9004 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*5\/15 + 1. Factor 0*u + 0 + 2\/3*u**2 + 0*u**3 - t*u**4.\nAnswer: -2*u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -8*q**2 + 310*q - 1112 = 0?\nAnswer: 4, 139\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10168084 is divided by 242095.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.1 (b) -1014 (c) -5 (d) -19\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4815058 + 2*w - 4815058.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 23 + 12 + 20*c)*(-4*c + 6*c + 0*c)*(-2 + 15 + 1) as y*c**2 + q + j*c and give y.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15.03. Let s = 0.03 + p. Which is the nearest to 1? (a) -2\/9 (b) s (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/20 + c**4\/3 - c**3\/3 + 2*c**2 - 4*c. What is the remainder when 34 is divided by n(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.88 - -174.88. Let o = g - 176. Let y = 0.3 - 1.3. Which is the closest to o? (a) y (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6034 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 144*q**2 - 8*q + 18. Let h(n) = 146*n**2 - 9*n + 19. Let c(l) = -5*h(l) + 6*k(l). List the prime factors of c(3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(133)\/sqrt(7))**2*-1 - (-1*sqrt(171)*-2 + sqrt(171))\/sqrt(9)) + -4).\nAnswer: 15*sqrt(19) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from {s: 6, o: 3, d: 1, w: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 13*j**9\/60480 - j**6\/240 + j**5\/6 - 12*j**2. Let v(p) be the third derivative of o(p). Differentiate v(c) wrt c.\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 > -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 5*n**2 - 4*n**2)*(26 - 14 + 117) + (-n + 0*n + 2*n)*(-2*n + 1 - 1).\nAnswer: 127*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113\/3 + 34. What is the common denominator of 91\/48 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25a6619 (base 11) to base 12\nAnswer: 1612253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - q**4 + 0*q - 2*q**3 + q**2 - 4*q to f*q + r + i*q**2 + y*q**3 + g*q**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**3\/6 + 6*l**2 - 15*l. Determine m(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 13*z - 23*z - 460*z + 515*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 120 = -4*m, 0 = v + 3*v + 2*m - 108. Suppose -5*q + 9*q = v. What is the smallest common multiple of 8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*y**3\/9 + 216*y**2 - 32*y\/9 = 0. What is y?\nAnswer: 0, 2\/121, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-30) - 5\/(5\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32169 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0 - -1) + 141 + -132?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/39 - (2266\/143 + -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1738, -6288, -13648, -23818?\nAnswer: -36798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) 3 (c) -3\/8 (d) -2 (e) -555\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*1 - (sqrt(17) + -3 + 2)**2.\nAnswer: -18 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 945 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.01, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(1053) + sqrt(1053) + 1))**2*-5.\nAnswer: -84960 - 4320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 376a1?\nAnswer: -376a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 13. Let h = 8 - 10. Let a(i) = -i + 2. Let u(q) = -4*q + 4. Let r(o) = -5*a(o) + u(o). Calculate h*z(x) - 5*r(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10\/111109 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 4. Let l be f\/(-4)*(-144)\/27. Is 9 a factor of (-16)\/(-6)*(-189)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14017, 28028, 42037, 56044, 70049, 84052?\n\"Answer: -z**2 + 14014*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(40)*2)\/sqrt(8) + -4)**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15939673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0480984875 rounded to 3 dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {x: 3, r: 7, d: 3, t: 1, f: 1, v: 2}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 38. What is the closest to 1 in -1\/5, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 - 2*s**3 + 9 - 3*s**2 + 9 - 16 - 11*s - 2*s**2 as b*s**2 + j*s**3 + i + y*s and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llel when four letters picked without replacement from {l: 6, e: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 368\/(-69)*12\/24*(-3)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63564 + 544?\nAnswer: -63020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 24 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 - l**3 + 4*l**3)*(-1 - 3 + 5)*(-23*l - 51*l - 8*l)*(-27 - 94 + 27) to c + k*l**4 + n*l**3 + g*l + f*l**2 and give k.\nAnswer: 15416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -224817800 divided by -4496356\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/(-5))\/(48\/120) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 4*w - 1. Suppose 103*d + 135 = 650. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/10)*o\/(o*o**6\/o)*o\/(o*o**(4\/7)*o)*o\/((o\/(o*o*o**(2\/5)\/o))\/o*o) assuming o is positive.\nAnswer: o**(-383\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -373*p + 4*p + 1476. Let k(y) be the first derivative of 0*y - 2*y**2 + 16 - 14\/3*y**3 - 4*y**p - 6\/5*y**5. Find d such that k(d) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302\/220183 or 1?\nAnswer: -302\/220183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 808844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - v + 1 + 5 = 0, 3*c - 1 = -v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132886829 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -676 - -1462. Let q = y - 789.744. Let n = -3.8 - q. Round n to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/5, 4, -0.2768, 13, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a8607 - 5?\nAnswer: -3a860c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 27*z**2 - 37*z - 5. Calculate g(28).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1358 and 4176529.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -189, -215, -251, -291, -329, -359?\n\"Answer: j**3 - 11*j**2 - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**3 - v**2 - 5*v + 13. Let q(z) = 24*z**3 - 6 - z - 21*z**3 + 3*z. Calculate 2*b(n) + 5*q(n).\nAnswer: n**3 - 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 4*2\/(-14). Suppose 6*z = z + 55. Let r be 2 - z*(-2)\/(-10). What is the closest to 1\/4 in r, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, z: 1, j: 1, b: 2}. What is prob of picking 2 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4 + 6. Suppose 3*r + 0 = b*x - 4, -4*x + 8 = 5*r. Suppose -x*c + c = 0, -5*f = 4*c - 110. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3993103 by -2.\nAnswer: -3993103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, h: 9}. Give prob of picking 3 h.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13055?\nAnswer: 5, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 2. Let g be o(-15). Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -786804 or -786813?\nAnswer: -786813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.16 + 0.027.\nAnswer: 36.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-7 - 22)) + 34.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 1, a: 1, i: 2, g: 1}. What is prob of sequence qq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 1762\nAnswer: 73\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-7) - 969\/(-119). Let v(t) = t**2 - 17*t + 74. Let w be v(q). Solve -5*h = -4*c + 12, -w - 6 = 4*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*r**4 + 4994*r**3 - 452046*r**2 + 1186254*r + 375948 = 0. What is r?\nAnswer: -2\/7, 3, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 6. Let v(g) = -3*g + 21. Let i(n) = 4*v(n) - 14*x(n). Let y(p) = 106*p**2. What is i(y(l))?\nAnswer: 212*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 1144?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*h - 7 - 4, 2*f + 2*h + 10 = 0. Let v be 3*f*3\/6. Let j be v\/3*-2*1. Solve -5*c = -j - 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37726.4 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -2, -3, -426, 150, -1 in descending order.\nAnswer: 150, 5, 4, -1, -2, -3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -22 (c) -27190 (d) 0.03 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(68) + -2 + -3 + sqrt(68) + -2)*-6 + 2 + 0)*-1.\nAnswer: -60*sqrt(17) - 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-40))\/(2\/(-10)). Find the second derivative of 1 - 3*h - s*h**3 - 1 + 0 wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:28 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1140 divided by 8014\nAnswer: -570\/4007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.16, -21\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 40 = 0. Let d(h) = h - 6. Let z be d(i). Which is the closest to 0.1? (a) z (b) 1\/4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k + 8. Let x(a) = -a**2 + a - 1. Let i(g) = -6*g**2 + 5*g + 6. Let y(o) = k*x(o) - i(o). Calculate the lowest common multiple of 13 and y(-3).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20249 + 20248.5. What is the second biggest value in -1, 1, w, 4, 16\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 19 - 9*y)*(-y + 0 + 0) + y**2 - y**2 - 2*y**2 in the form a*y + r + w*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4496*k**6 - 11*k**2 + 91*k?\nAnswer: 539520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(4 - 2) + -7. Let s(y) = -y**2 - 10*y - 3. What are the prime factors of s(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*b**4 - 772*b**3 + 1160*b**2 - 416*b.\nAnswer: 4*b*(b - 26)*(b - 1)*(7*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1522 + 1880. Calculate the remainder when k is divided by 3 + -6 - (-51 - -3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -11*q + 40 - 57 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (3 + -2)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13706 and 3827?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 37. Let m = 2 + -1.5. Which is the second biggest value? (a) -5 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 8. Let y be g(-4). Let k = 46\/17 + -1368\/493. Is y at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 20 + 34. Let c(k) = k**3 + 10*k**2 + 7*k - 2. Let x be c(w). Solve 0*n - x = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423651.\nAnswer: 3, 283, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -3.8. Round b to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -279, -419?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 2, z: 2}. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5694 + 5700. Let s be 2\/(-9) + 130\/18. Solve -5*h + u = -s*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5790 - 5118. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 795*p**4*s + 160*p**2*s + p**2 + 2*s wrt p?\nAnswer: 19080*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m - 4. What is the smallest common multiple of 4 and s(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/6))**(-2\/75))**10*(w\/(w*w**(-3\/2))*w**2)\/((w**(-1)*w)\/w*w**(-9)) assuming w is positive.\nAnswer: w**(1187\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let b be z(-6). Suppose -3*v - 2*f + 284 = -b*f, 2*f = -2*v + 168. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = -y. Suppose 0*i = -2*i - 32. Let o = i - y. Solve 0 = 3*a - o*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -29 - 20*u**2 + 18*u + 58*u - 96*u - u**3. Determine z(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0, 3\/7, -3 in ascending order.\nAnswer: -3, 0, 3\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95) - -1*sqrt(95)))\/(-1*sqrt(20)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, f: 4, x: 3}. What is prob of sequence xt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3.78, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6950)\/(-75)*(-6)\/(-4). Let l = k + -130. What is the remainder when 87 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200222200202 + -10?\nAnswer: -1200222200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + 23*u**2 - 35*u + 13. Let i be b(2). Put i, -2, 42, 1, 34 in decreasing order.\nAnswer: 42, 34, i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6986, -6998, -7010, -7022, -7034?\nAnswer: -7046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + -0.1. Let m = n + 1.9. Let z = -2.2 - -2. Which is the closest to -1? (a) z (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 27. Let x = -8428 + 8464. Calculate the greatest common divisor of x and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10165 - 10164.6. Put 1\/4, a, -3\/8, -5, -1392 in decreasing order.\nAnswer: a, 1\/4, -3\/8, -5, -1392","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -685270 divided by -290?\nAnswer: 2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -101 + 79 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - -6)*197\/4. Let p = -480 - m. Let y = p + 409. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - (-7)\/8*(-1557 + 1549)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1\/12, -3576, 168, 3 in increasing order.\nAnswer: -3576, -2\/9, 1\/12, 3, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359672796 divided by -13482.\nAnswer: -26678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*n + 3*x, 5*x - 3 = 2*n + 12. Let a = -7 - n. Suppose -9 = -3*d + 3*y, -d - d + a = -3*y. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30318 - -30319. Which is the nearest to l? (a) -36 (b) -2\/9 (c) 18 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 8*g**2 - 8*g + 5. Let b be y(-8). Let c = b - 65. Solve c*d + 9 = -3*q, -d + 4 - 3 = 4*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 + 4*s + 2. Let c be i(-4). Suppose -4*x = -c*z + 80, 80 = 2*z + 4*x - 7*x. 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: Evaluate (-414 + -141)*(-12)\/150 - 39\/(-15).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0398194 and 0.1.\nAnswer: 0.0601806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y - 5*y + 54 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 + 15.6448483.\nAnswer: 15.7748483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 2. Let w be o(2). Suppose -8*m + 11*m - 39 = w. Does 8 divide 25 - m - (4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -5, -7, -56, -2\/17, 0.4, -27?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 371*b + 36. Let t be n(-17). Let h = -4054 - t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -143.\nAnswer: -58\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 - -232. Solve -3*m + 20 = 3*o + j, -4*m - 5*o + 21 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 110. Suppose 0*g + g = -2*g - 2*r + 187, 3*r = 33. Calculate the smallest common multiple of g and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 31*q**2 + 53*q + 1. Let a(h) = -11*h**2 - 18*h. Let r(j) = 17*a(j) + 6*u(j). Give r(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 365 - 219. Suppose 2*v = -w + 414. Is (v\/8)\/(4\/80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 593720*g + 17625171920.\nAnswer: 5*(g + 59372)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 11:18 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 163 - 124 = 0. Suppose 2*m - b - 74 = -5*x, -4*x = -m - 79. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/4 + 17*d**2. Let v(c) = 2*c. Determine v(g(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 5. Let h(m) = 1 - 1 + m + 7 - 8. Let c(r) = -2*h(r) + k(r). Differentiate c(y) wrt y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 922968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 218*r**2 - 432*r - 1109. Determine j(-220).\nAnswer: -2869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 877787.\nAnswer: -4388935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -13*i + 3. Let h(m) = -53*m + 13. Let w(x) = 2*h(x) - 9*p(x). Suppose 4*g + 8 = -0*g + 4*s, -2*s = 4*g - 10. List the prime factors of w(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from lnlynllylynlynl?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34343235 (base 6) in base 14?\nAnswer: -1d6a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = -u - 0, 0 = 5*u + 5*i - 15. Let c = -25.4 + 171.4. Let p = -142 + c. What is the third smallest value in -0.3, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -338, -2718, -9180, -21764, -42510, -73458, -116648?\n\"Answer: -340*x**3 - x**2 + 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283999572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 138679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418736696?\nAnswer: 2, 7, 37, 61, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110849695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022170282 to six decimal places.\nAnswer: -0.002217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -43347*o**2 - o**4 + 6*o**4 - 194 + 195 + 44504*o**2 in the form p + i*o + k*o**2 + a*o**4 + f*o**3 and give k.\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 6, r: 4}. What is prob of sequence uudu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0\/1 - 3) + 112\/4. What is the greatest common factor of 2001 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18840212 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 9*p**2 + 0*p**2 + 1 - p**2 + 8*p**2 to the form g*p + y + c*p**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/56*-9)\/((-18)\/(-48))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*4 + 6*(sqrt(13) + 3 + sqrt(13)).\nAnswer: 18 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31454, 31471, 31488, 31505, 31522, 31539?\n\"Answer: 17*r + 31437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -85.5071016*0.5\nAnswer: -42.7535508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*1 + -4 + 1. Let z = -0.1 - 1.9. Let y = 1 + z. What is the nearest to 2\/3 in g, y, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((8\/(-1738))\/(4\/(-22))) + 3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2754, -2593, -2432, -2271, -2110, -1949?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802500 is divided by 57199?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, s: 5}. Give prob of sequence ss.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 + 5*k**4\/12 + k**3\/2 - 3*k**2 - 3*k. Determine l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 14*z = -5*p - 1, -22 = -2*z + 5*p. Calculate the least common multiple of z and 834.\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/30 - h**2 - 2037. Let a(n) = -506*n + 3. Give a(l(g)).\nAnswer: 1012*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3 + (6 - 2)). Is 4*((-6093)\/w)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*z - 3*z. Let w = z + 23. Let n be (6\/w)\/(3\/30). Solve -d - d + 2*u = 0, n*u = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -7548933.7\nAnswer: 1509786.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/680 and -65\/16.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3*j*l + 2*h**3*l - 3*h**2*j*l + 52*h*j*l + 3*h*j wrt h.\nAnswer: 18*h*j*l + 12*h*l - 6*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59576, -119077, -178478, -237779?\n\"Answer: 50*r**2 - 59651*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14318*a**2*g**2 - 2*a**2*g*w**2 - 4*a*g**2 - 3*a*g*w**2 - 9*g**2*w**2 - 3*g**2*w - g*w**2 wrt a.\nAnswer: -28636*g**2 - 4*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from iiitqpy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 - 3*u**4 + u**4 + (9*u**3 - 7 + 7)*(3 + u - 3).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -41*r**2 + r - 25. Let g(j) = 113*j**2 - 3*j + 73. Let n(l) = 4*g(l) + 11*i(l). Suppose 2 = 5*h - 43. Is n(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -214\/5 (c) 5 (d) 0.1 (e) -89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38, 0.5, -1\/2, 14, 2\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2\/4 + 389*a\/2 + 775\/4 = 0.\nAnswer: -775\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*m**(2\/19))**(2\/11)\/(m**(1\/2)*(m\/m**(-7))\/m*m*m**(-4\/5)*m**6) assuming m is positive.\nAnswer: m**(-27833\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85803 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*z + 55. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -386, -560, -734, -908?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -576 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + -1 + sqrt(272)*1 + (3*4*((sqrt(833) - sqrt(17)) + 3))**2.\nAnswer: 5199*sqrt(17) + 89423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(22)\/sqrt(98) - (sqrt(1584)*3)**2*-2.\nAnswer: sqrt(11)\/7 + 28513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 0 - (2285 - 2287)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)*(3 + -1). Calculate the common denominator of 1*m + 53\/(-2) and -121\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043564 is divided by 1042355.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155103251*r**2 + 12735598.\nAnswer: -310206502*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (10\/2 - -5) + 27?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x**2 - 3*x - 1. Suppose -v + 4 = -2*v, v = 3*y - 7. Let o(r) = -r**2 + 10*r**2 - 9*r**2 - r**2 + 1. What is y*o(b) + t(b)?\nAnswer: -b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -12 + 10 + 9 - (-1 - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**2*z + 150*y*z - 1462*z + 2 wrt y?\nAnswer: 2*y*z + 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*w - 16 = 0, 4*m + 49 - 33 = -w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/5))**(1\/17)*(((z**1\/z)\/z*z)\/z)\/z*z*z*z\/(z*z*z*z*z**7*z*z)*z*z)**(-6\/17))**40 assuming z is positive.\nAnswer: z**(40704\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y + 8. Let n be g(2). Let v be -7*(-2)\/(-4)*-12. Let l be 138\/v - 4\/n. Let i(u) = u**2 - 2*u - 4. Determine i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511123 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.05 - -18.95. Is -1163 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.16386221\nAnswer: -0.065544884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4117, 8231, 12345, 16459?\nAnswer: 20573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -4 - -2) + 46 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -619, -1395, -2481?\nAnswer: -3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5 and 41\/14559977.\nAnswer: 72799885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781469.\nAnswer: 3, 131, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(80)*1 - sqrt(80))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m = 44 - 396 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b + 2*b - 4*b in the form a*b + l and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362 - 19*u**2 + 362 + 16*u wrt u?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)*(h*h**(3\/5))\/h*h**(-3\/8)\/((h\/h**(-3\/2))\/h) assuming h is positive.\nAnswer: h**(-331\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139*f + 112*f + 70*f)*(-3 + 1 + 1)*(17*f - 7*f + 4*f) in the form v*f + y + h*f**2 and give h.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 7*f**2 - 11*f - 2. Let y = 66 - 68. Let g be m(y). Suppose 3*k + 18 - 90 = g. Is k < 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262544 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2671*f**2 + f - 14. Let v(x) = 2*x - 4. Calculate h(v(k)).\nAnswer: 10684*k**2 - 42734*k + 42718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n**2 + 0*n**2)*(n**3 - n**3 + 3*n**3) + (1 - 1 - n)*(2*n**4 - 6*n**4 + 2*n**4).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let p(c) = -72170*c**2. What is n(p(o))?\nAnswer: 144340*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -158. Suppose -10*r - z = 163. Calculate the common denominator of 4\/(-30) + (-2)\/r and -43\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*x = -5*n + 164, -x = -n + 54. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31562 is divided by 142.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g + 478 + 1343 - 96 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1)\/((-2)\/(-4) - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*w + 5*w**5 - 20*w + (-2*w**3 - w**3 + w**3)*(3*w**2 - 4*w**2 - w**2) + 0*w**5 + w**5 - 3*w**5 + 2*w**5 + 0*w**5 + 2*w**5.\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0286564751 rounded to six decimal places?\nAnswer: 0.028656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 - -3. Suppose -20 = 28*w - 23*w. Put s, w, -1.7 in descending order.\nAnswer: s, -1.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -23. Let i = l + -10. Let s(x) = x**2 + 6*x - 2. Let a be s(-7). Put i, 0, a in ascending order.\nAnswer: i, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (69\/(-92))\/((-19)\/20 + (-4)\/(-20)). Is -5\/1249 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269 divided by 703.\nAnswer: -269\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*b - 1 + 12 + 20*b)*(b + 3*b - 5*b).\nAnswer: 2*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 908199, 908197, 908195, 908193, 908191, 908189?\nAnswer: 908187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 0. Suppose 3*f = -4*b - 8, j = -3*f + 2*b - 3*b - 2. Suppose f = -4*c + 2*c + 78. What is the greatest common factor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.55259 and 0.3.\nAnswer: 0.165777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35669, -35717, -35797, -35909?\n\"Answer: -16*t**2 - 35653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 6)*(-3*h + 0*h + 2*h) + 4 + 2*h - 4 + (-28 + 28 + 13*h)*(-2 - 3 + 4) in the form c + o*h and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2118, 45, -0.005, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706590221?\nAnswer: 19, 37, 1005107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 711 + 1162 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - c - 1. Let l(j) = 2*j**3 + 11*j**2 - 2*j - 2. Determine -2*b(q) + l(q).\nAnswer: 2*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -591*w**3 - 408*w?\nAnswer: -3546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 1. Let g be z(5). Let q = g - 3. Let y be 5\/12 + (-2)\/q. Is 1 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74820 - 56471 = -17*f. Is 16\/(-4) + f - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1220263 + -6125?\nAnswer: 1211135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3853 - 3847. Which is the second smallest value? (a) u (b) 5\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/3 - 6\/(-9). Suppose -2*t + f*t - 215 = 0. Let s be 40*((-418)\/(-44) + (-10)\/(-8)). What is the highest common divisor of t and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 + 7*a**2 - 15. Let v(h) = h**3 + 2*h**2 - 5. Let l be (((-13)\/(-52))\/((-5)\/16))\/((-6)\/(-15)). Calculate l*i(b) + 7*v(b).\nAnswer: b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76076 and 32604?\nAnswer: 228228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18068819 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-34))**(-3\/16) assuming y is positive.\nAnswer: y**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2931797 is divided by 354?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318159*j**2 + 31 - 31 - 2*j - 1319835*j**2.\nAnswer: -1676*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287 and 82.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4394, 4397, 4400, 4403, 4406, 4409?\n\"Answer: 3*u + 4391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -k, 24*k - 28*k + 11 = -3*v. Solve v*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgumvw. Give prob of picking 1 m and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = -5*d, 4*d - 6*j + 4*j - 4 = 0. What is the tens digit of (50*d - 0)\/(12\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*p - 4*f, -431*p - f = -430*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 17*n + 6. Let h(k) = 9*k**2 + 35*k + 10. Calculate 10*g(r) - 6*h(r).\nAnswer: -4*r**2 - 40*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*p - 89 = 60, -5*z = 2*p + 199. Let j = z + 70. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34209, -68420, -102645, -136890, -171161, -205464, -239805?\n\"Answer: -j**3 - j**2 - 34201*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20747.5 - -20748. Which is the closest to 0.177? (a) 0.4 (b) k (c) 0.3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -74, -171, -342, -611, -1002?\n\"Answer: -4*m**3 - m**2 - 16*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 5}. Give prob of picking 3 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14872)\/(-1066) - 4) + -14 + 4.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -112\nAnswer: -7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*d = -x + 12, -5*d = x + 4. Sort -3, -2, 4, x.\nAnswer: x, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x - 119. Let j = x - -170. Suppose 3*u + 4*r + j = 154, -3*r = -u + 30. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 49. Let z be 4\/22 + ((-60)\/q)\/(-6). Find g, given that z + 2\/3*g - g**3 - 1\/3*g**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050814 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -7*b + 2763391, 5*b - 322*c - 1973837 = -321*c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 113, 1, 0.5, 2\/5, 29, 4 in ascending order.\nAnswer: 0.31, 2\/5, 0.5, 1, 4, 29, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/2 - b**3\/2 + b**2 = 0. Calculate b.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 - -5a07b?\nAnswer: 5a128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -190\nAnswer: -3\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + 52\/(-20). Let n = r + 7. Let t be (n - 4) + 5*1. Let l(h) = -h**2 + 6*h - 6. Give l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, -2, -16, -28?\n\"Answer: i**2 - 19*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 129140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*c + 8*c**2 + 2 - 43*c - 34*c in the form m*c**2 + h*c + w and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3995 divided by -799?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19015.2 - 19015. Let v = -8 - -8.3. Let i = 3 + -5. What is the nearest to i in 2, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 3*n**2 + 5*n - 3. What is k(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(80)*-2.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.0673 years to months.\nAnswer: 204.8076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 + -0.3. Let z = 118\/3 - 40. Let k = 2.75 - 2.75. Sort k, h, z in descending order.\nAnswer: h, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.5656074 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 27 + 10*m**2 + 0*m**2 - 7*m**2 + 9*m - 4*m**2. Let i be v(10). Suppose -14*a - 27 = -i*a. Solve -4*b = -b - 5*s - 6, -2*b = s + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1971.2703 months?\nAnswer: 1.64272525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 231 - -1a2?\nAnswer: 3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 6. Suppose -57*a + 68*a + 44 = 0. Let c(g) be the first derivative of -11*g**2\/2 + 11*g - 1. Determine a*c(u) - 7*q(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/144*(-24)\/140\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(4\/(-30)). Suppose -i*d + 13 = -27. What is the highest common factor of d and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 1*sqrt(475)*-1 - (1 + sqrt(475))*2)**2 - -5*(sqrt(475) + 0)*-2.\nAnswer: -10*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 60444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 2*x**3 + 3*x**3 - 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14928 by 7464.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**3 + 17*l - 10*l**2 - 20 - 18*l**3 - 26*l. Let a be m(-10). Calculate the highest common factor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 24*c**3 - 223*c - 22*c - 10*c**3 - 8*c**3 + 2 to p + q*c**3 + f*c**2 + x*c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.801 - -0.68. Round c to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -4 (b) 1\/15 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 866 - 866.17. What is the biggest value in v, -5, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n - 10. Suppose 0 = -o - 8. Does 13 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8611829, 68894711, 232519675, 551157761, 1076480009?\nAnswer: 1860157459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1463326 divided by -77\nAnswer: 1463326\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1024*w**4 + 556672*w**3 - 208848*w**2 + 26110*w - 1088.\nAnswer: 2*(w + 544)*(8*w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -9)*671 - 3. Let v = -657 - l. What is the remainder when 236 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 6*v - 7. Let l be g(7). Suppose -4*u + 52 = -l*u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l - 6. Let r be d(5). Suppose r*n - 116 = -0*n. Calculate the remainder when n is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113679 + 177026. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 + 4 = -t, 67 = 4*t - i. Suppose -3*k + t = -25. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1457*c**3*x**2 + 49*c**3 + 9*c**2*x**2 + c*x**2 - 16*x**2 - 19*x wrt c?\nAnswer: 8742*x**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -4. Let z be (-70)\/(-8) + a\/(-8). Let f(w) = w**3 - 7*w**2 - 8*w + 4. Let c be f(z). Solve -c*h + 5 + 7 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and -0.25?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65327\/7 - -9333. What is the nearest to -1\/3 in -8, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.1450304 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3170 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8565.319t?\nAnswer: 8565319000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f - 1. Suppose 0 = 4*t, 152 = 2*u + 2*t + t. Let a = u + -33. Calculate the remainder when a is divided by h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**3 - 5*v**2 - 5*v + 5. Suppose 84*c = 67*c - 85. Let s(i) = -9*i**3 + 7*i**2 + 7*i - 7. Give c*s(f) - 7*d(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 + 16*s + 9. Let p be g(-7). Let t be 3*(p\/9 - (4 + 0)). Calculate the highest common factor of 34 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 divided by 63?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20888786 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1499.9 from 888.\nAnswer: -611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 4, u: 2, l: 4, y: 5}. What is prob of picking 1 l and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t**(-4))**(2\/33) assuming t is positive.\nAnswer: t**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from ttttxxttttt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:58 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 17. Let r be (m\/10)\/((-16)\/(-90)). Let w = 101\/20 - r. Calculate the common denominator of 46\/9 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56647821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/55 + -949\/385. Let t = -10\/19 + -197\/95. Find the common denominator of t and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(40\/6))\/(6\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1211978, -2423953, -3635928, -4847903, -6059878, -7271853?\n\"Answer: -1211975*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8061\/18 + (-254)\/(-1524). What is the greatest common divisor of f and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*n = -2, -4*n + 12 = 4*j + j. Let k(f) be the second derivative of 0*f**2 + 1\/15*f**6 + 3*f + 0*f**3 + 0*f**5 + 0 - 1\/6*f**j. Factor k(i).\nAnswer: 2*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501950 rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103389?\nAnswer: 3, 11, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*n - 11. Suppose -4*h - 2*v = n, -h = 2*h - 5*v - 31. Solve r = -4*m + 21, h*m + 2*m - 17 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w - 5. What is r(-11)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177*y + 17*y + 30*y)*(-4*y**2 - 3*y**2 + 6*y**2 + (y**2 + 3*y**2 - 3*y**2)*(-3 - 1 + 2)).\nAnswer: 390*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/(0 + 1). Suppose -8 + w = 4*m. What is the units digit of ((-9)\/6)\/(1\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.739996 + -0.74. What is v rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 232*z. Let n(t) = -173*t + 46*t + 39*t + 43*t + 44*t. What is i(n(a))?\nAnswer: a**2 - 232*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 767*c**2 + 2*c*q - c + 55346*q wrt c?\nAnswer: 1534*c + 2*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55075102*-4.\nAnswer: 220300408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7 and (-173)\/(-54) + 1*(-1)\/2.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/6)\/((403\/(-155))\/(2145\/(-110)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 3*n**5 + 5*n**5 + (33*n**2 - 8*n**4 - 33*n**2)*(-2*n - 2*n + 5*n).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/108 and -25\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9766303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**2\/u)**(1\/16)\/(u**(-2\/3))**(-46))**7)**(2\/15) assuming u is positive.\nAnswer: u**(-10283\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7174130341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1.37046387, 2\/7, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -9*u - 4*x + 18, 4 = 3*u + 2*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 772001 and 0.5?\nAnswer: 772000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + (-4 - -5) - (-2 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -339, -1163, -2785, -5475, -9503, -15139, -22653?\nAnswer: -32315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/1)\/(6 + -5). What is the fourth biggest value in t, 0.03, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:07 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 8*r**2 - 4*r + 1. Let g = -9 - -22. Let m = g - 21. List the prime factors of d(m).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 - (-16)\/7. Suppose 0 = -3*i + 11 - g. Suppose i*n - 97 = -5*t, -t + n - 79 = -5*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.0619739 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 1. Let i = -1 + 1. Let m = 48 + -46. Let b(p) = -1 + i - m*p + 2 + 3*p. Give -4*b(g) - 5*d(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2 - h - 1. Let f(u) = -5*u**3 - u**2 + 12*u + 1. What is -f(l) - q(l)?\nAnswer: 6*l**3 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 32. Let f(m) = -8*m**3 + 6 + x*m**3 - 4*m**2 + m - 6*m**3 - 3*m**3. Let b(j) = 5*j**3 - 3*j**2 + j + 5. Calculate -4*b(k) + 3*f(k).\nAnswer: -2*k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2113\/42 or 50?\nAnswer: 2113\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -5 (c) 0.03 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/30 - 2247*z**5\/10 - z**4\/6 + 17*z**3\/3 + 3*z**2 - 1426*z. What is the third derivative of v(r) wrt r?\nAnswer: 24*r - 26964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 332*k**2 + 331*k**2 - 970*k**2 - k + 347*k**2.\nAnswer: 40*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 1 - 13 = 5*s + 2, -11*a + 53 = -3*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -16)\/6 + -3 + 10. Solve -x*v + 18 = -2*o, -5*v = 4*o - v - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csss when four letters picked without replacement from ccsccsccscscssccccc?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11101222 (base 3) to base 4\nAnswer: 302030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, -17, -43, -73, -107?\n\"Answer: -2*a**2 - 16*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2025*s + 4057*s + 89 - 2050*s as z*s + y and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**5 - 513710*a**3 - 5263*a**2 - a + 3?\nAnswer: 240*a**2 - 3082260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**2 + 1193385*n + 1193389*n - 2386775*n.\nAnswer: 39*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5604 and 2?\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2. Let j(t) = -4*t**2 - 2*t + 4. Let m(b) be the third derivative of b**4\/24 - b**3\/3 - b**2 + 2*b. Let u(w) = j(w) + 2*m(w). Calculate u(v(x)).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 3*l + 25, 4*l - 347671 = -2*n - 347699 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 784 + -784.0000026. What is y rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39351644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 78275.\nAnswer: 12\/15655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/13)\/d**0)**(1\/16))**(1\/18))**(-13) assuming d is positive.\nAnswer: d**(1\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1992*b*g**2*z - 11*b*g + 38*g**2*z + g**2 + 32*g*z - 102*z wrt g?\nAnswer: -3984*b*z + 76*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -898513*t**3 - 10947*t**2 - 107*t?\nAnswer: -5391078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = -36. Let a = -18 - l. Sort 1, a, -3.\nAnswer: a, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6957 + 13 + 4\/(-6)*3?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 + 39. What is the tens digit of (-13)\/(78\/b) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19601 - -34368. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:44 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z + 2*z + 75 + 45 - 209 + 63 in the form q + v*z and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 2. Let i(l) be the third derivative of -2\/3*l**3 + 0*l + 7\/24*l**4 - 84 + l**2. Calculate 4*i(k) - 9*s(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 32*y + 15. Let s be u(6). Suppose -2*h - 59 = -715. Let f = h - s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 81819.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341470?\nAnswer: 2, 5, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30732 and -0.335972.\nAnswer: 30731.664028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i = 26. Let s be i\/(-10) + (-12)\/30. Let a(p) = 2*p**2 + 3*p + 5. Let u(b) = 4*b**2 + 7*b + 11. Give s*u(d) + 7*a(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**3 - 6*q**2 + 3. Let c(y) = 4*y**3 - 2*y**2 + 1. What is 8*c(n) - 3*j(n)?\nAnswer: 2*n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*l**6*v - 2*l**4*v**2 + 19*l**2*v**2 + 2*l**2 - 9*v wrt l?\nAnswer: 7560*l**3*v - 48*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 + 7*n - 7. Suppose -15 = -4*h + 1. Let o(w) = 0*w - 3*w + 2 + 2 + h*w**2 - 1. Suppose -1 + 7 = -2*m. Determine m*i(b) - 7*o(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*v**4 + v**3 + 243*v + 523666 wrt v?\nAnswer: 100*v**3 + 3*v**2 + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000070817 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*u - 24 = 0, h = 4*u - 0 - 12. Suppose h*z - 21 - 11 = 0. Calculate the highest common factor of z and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 x, and 1 q when four letters picked without replacement from qxhkmhqmhmqqmmxhmmm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.322533 grams in milligrams?\nAnswer: 5322.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9955 and 6154.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 + 21*m**3 - 18*m**2 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.8 - 5. Let g = t - 15.8. Suppose 2*j = -5*r, 4*j + 3*r = -2*r + 10. What is the second biggest value in j, 11, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 949038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90982788 - 90982753.0000124. Let v = i + -35. Round v to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 35*j - 12. Let f be q(16). Suppose -973 + f = -3*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1087072 by -135884.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/97 (b) -0.4 (c) 4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 6. Let z be (9\/15)\/((-2)\/10) + 9. Give j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*(-14)\/(-35)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -60. Suppose 34*p = 44*p - 40. Put l, -1, -4, p in descending order.\nAnswer: l, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*x + 58, -120 = -126*n + 122*n + 4*x. Let u be 3\/(4\/((-128)\/(-6))). Calculate the highest common divisor of u and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 * -1.204026\nAnswer: 73.445586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*t - 153*t - 188 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41737 and -5.\nAnswer: -208685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0, -2\/11, -1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a + 34. Let p(u) = -6*u - 17. Determine -9*p(j) - 4*x(j).\nAnswer: 2*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1161 - 38?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/4639 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1886 (b) -6 (c) 265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14143 times -0.2\nAnswer: -2828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.287129351 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4861023 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 2, y: 7, l: 5}. What is prob of picking 1 l and 1 o?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 2 - sqrt(192)))**2*-6 + sqrt(192) - (sqrt(192) - (sqrt(192) - sqrt(192)*3)*-4).\nAnswer: -1176 + 256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 8. Let c(i) = -7*i**2 - 2*i - 17. Let o(l) = -2*c(l) - 5*m(l). What is o(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/35? (a) -1 (b) 81 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 11 = 2*t - r, -2*t + 10 = -4*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5361 * 0.039\nAnswer: 209.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 15*x - 54. Let m be v(-18). Solve -h - 17 = -4*s - m, -3*h = -s + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c = 42*c + 700. Let k = -95 - c. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3196371637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(12)\/sqrt(2))*-6)**2 + 2.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/9 + -394*(-3)\/18. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/19 + 252*p**2\/19 + 498*p\/19 + 248\/19.\nAnswer: 2*(p + 1)**2*(p + 124)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -96.2. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4785*k. Let v(x) = x**2 - x - 3273. Determine v(n(w)).\nAnswer: 22896225*w**2 + 4785*w - 3273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/771 + 6923\/6168. Which is the closest to 2? (a) -2 (b) 0 (c) -1\/3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6*p = -6. Let b be (-2 + 2)\/(1\/p). Suppose -3*k + 120 = -b*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 6 = -2*v + 2*o, 3*v = -3*o + 6. Let c be v\/(0 - 4\/(-24)). Let f be c\/9 + 60\/18. Put -3, 0, f in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/24*(-15)\/(-20)*12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 + 5 + 50*d**5 + 58*d**5 - 68*d**5 wrt d.\nAnswer: 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 63. Suppose 0 = 12*x - b*x + 6. Suppose -4*c + 12 = -4*u, -2 = -5*c - x*u + 6. Solve -c*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 13*d - 7. Let k be a(10). Suppose 2*t = 3*n + k, 3*n + 15 = t - 4. Calculate the remainder when 42\/15*(5 - 0) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 + 667. Let d(h) = h + 26. Let n be d(-22). Solve -n*t = 5*m + 6, 3*m + r*t - 26 = 8*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 7*h**2 + 14*h + 46. Does 21 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -693.84019 take away 775?\nAnswer: -1468.84019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 - 122 + 35*t**2 to the form r*t**2 + l + p*t and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17 + 19.83. Let z be (-664)\/830 - 0\/(-2 - 0). What is the closest to 3\/4 in a, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -45.9. What is the nearest to -2 in 3, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35754 divided by 606.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -4 (c) -2 (d) 15\/1381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1411 + 1347.1. Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - -91) + (3 - (1 + 4 + -4 + 29))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-15)*(-33)\/(-1). Suppose -5*m - 4*a - 29 = 0, -2*m + a - j = 2*a. Let c(i) be the first derivative of -i**2 - 7*i + 1. Calculate c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - (3 + (-4 - -6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 3*(-10)\/(-6). Let j = 9 - c. Let w(z) = 0*z**2 + j*z**2 - 5*z**2 - z**2. Let l(s) = -2*s. What is l(w(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*h*i**2*j - h + 3402*i**2*j - 13055*i*j - i + 75 wrt i.\nAnswer: -32*h*j + 6804*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 403847034 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {d: 8, x: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*r + 4 = 0, -2*a + r + 18 = -2*r. Suppose u + 2*c = 10 + 1, a*u = -c + 58. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -16. Suppose -5*v - 267 = -4*p, b*p + 302 = 4*p + 2*v. Is p - (2*-4)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.116*-70\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 1517 = 183. Let p(v) = 2*v**2 + 4*v + 7. Let k be p(-6). Calculate the highest common divisor of z and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5082 and 2016?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9715485 divided by 3238495.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2 (c) 0.5 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*5\/10*2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 23. Let p(t) = -209*t + 117. Calculate 5*g(c) + p(c).\nAnswer: -204*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10763, 43505, 98075, 174473?\n\"Answer: 10914*v**2 - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -13417196 = -80503171\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*s - 2*d**4*n - 19*d**4*s + 1215*d**2*n*s - d**2*n + 2*d*s wrt d.\nAnswer: 60*d**2*s - 48*d*n - 456*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 1. Suppose z*h = -0*h + 51. Solve -5*a = x + h + 1, 2*a = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/180 and -29\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 164486*z + 164499*z - 3)*(-2 - 3 + 6).\nAnswer: 13*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.546301 to two decimal places.\nAnswer: 106.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31402384 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -k - 5*l, 2*k - 2*l - 5 = 3. Suppose -2*u + 22 = -k*u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 21.9. Let m be 4\/(9*(-10)\/15). Which is the biggest value? (a) -1 (b) 5 (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-2*2*sqrt(78))\/((sqrt(42) + sqrt(126)\/sqrt(3))\/sqrt(7))*-6.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119957.1399 rounded to the nearest one thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 919, 1358, 2079, 3076, 4343, 5874, 7663, 9704?\n\"Answer: -q**3 + 147*q**2 + 5*q + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/12 + 11\/(11088\/873) and 79\/98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 245823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:03 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 12*r**2 + 14*r + 37. Let s be g(-11). Suppose f - s = -f. Let b be 3\/(f\/((-40)\/(-15))). Solve -21 = -3*c - h + b*h, 4*c - 3*h = 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**21)\/l)\/((l*l\/l**(-8\/9))\/l))\/(l**(-24)\/l**(-13)) assuming l is positive.\nAnswer: l**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -599 + 601. Suppose -3*c + 12 = -2*c - 2*y, c + n*y = 12. What is the greatest common divisor of c and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46\/155 - -28\/31. Let g = 3.5 + -3.5. Which is the closest to t? (a) -3 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -14.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 1*sqrt(1300) - sqrt(1300))*3)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = 2*m, m + 4*d = 12 + 4. Solve -4*k + m*k = 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*c - 21 + 58, 2*f = -2*c - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:15 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53734241 is divided by 111251.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20711 is divided by 2496?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 4, i: 3, e: 2}. What is prob of picking 1 z and 2 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35970 + 2*s**2 - 2*s**4 - 35959 + 24*s**3 + 71914 to n*s + h*s**2 + z + d*s**4 + x*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -56*g**3 - 11*g**2 - 372*g + 64. Is k(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5, 3\/5, 1\/3, 170?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**2 + 2320*v - 9344 = 0.\nAnswer: -584, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 197126723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p + 0*p)*(5*p**3 - 4*p**3 + 0*p**3) - p**5 - 302*p - 2*p**5 + 314*p.\nAnswer: -2*p**5 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 2*n)*(6*n - 3*n - 2*n) - 2 + 2*n**2 + 2 - 64*n**2 + 41*n**2 - 48*n**2.\nAnswer: -68*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*(k\/k**(-2\/15))\/k)\/(k**6\/(k**(-3\/10)\/k))*(k*k*k**(-2\/15))\/k**8*k**(-6)\/k**(-7) assuming k is positive.\nAnswer: k**(-1333\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {x: 14, d: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 222298507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let o be 78*(q\/9 + 1). Suppose -o = -2*m - 2*m. Calculate the remainder when m is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -610, -609, -608, -607?\n\"Answer: h - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((45\/6)\/5). Suppose 6 = 2*h + 3*f, -2*f + 2 = -3*h + 24. What is the least common multiple of ((-55)\/10)\/(v\/(-4)) and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -404, -1301, -2794, -4883, -7568, -10849, -14726?\n\"Answer: -298*j**2 - 3*j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -45. Suppose -a*l + 2*l = -14. Solve d = -l + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 34 = s, 7*s = 2*s - 5. Let f = c - 7. Calculate the greatest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*12\/32 - (-1)\/(-4). Put -33, 4, n in decreasing order.\nAnswer: 4, n, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 7. Let d(k) = 1. Let g(t) = 3*d(t) + q(t). Let m be g(0). Suppose m = v - 11. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (8 - -1) - (5045 + -5137)) + -5 + -2\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/((-4690)\/210))\/(-1*39)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1548 + 1528 = 0. Let v(w) = -w**3 - 5*w**2 + 3*w. Give v(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255300 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10)*(-3 + (-8)\/(-4)). Let w = -0.7 - -0.2. Let t = 0.3 + -2.3. Which is the biggest value? (a) g (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 2*j - b, -j + 17 = 3*b. Let y = -62 + 66. Let v = y + j. Solve 1 = -x + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5399 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 + -52.\nAnswer: -51.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 take away 22179517?\nAnswer: -22179319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13041214 (base 5) in base 11?\nAnswer: -87a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 5\/((-10)\/(-4)). Let j = 5 + 10. Let n = j + -10. Put n, 0, u in decreasing order.\nAnswer: n, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*z - 817 + 2827, 0 = -4*z - 8. Does 56 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**7\/1260 + t**6\/360 - t**5\/12 - 3*t**2. Let l(q) be the third derivative of k(q). Differentiate l(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x - 2. Let m(d) be the second derivative of 5*d**4\/2 + 25*d**3\/6 - 5*d**2\/2 + 39*d. Let k(s) = -m(s) - 25*t(s). Factor k(g).\nAnswer: -5*(g - 1)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + (36 + -22 - (3 + -3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 483\/8 - 1\/8*l**2 - 79\/4*l.\nAnswer: -(l - 3)*(l + 161)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/8, 1\/4, -2, 68\/7 in descending order.\nAnswer: 68\/7, 1\/4, -2, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 5:03 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -125879 (c) 5 (d) -1\/3 (e) 0.5 (f) 3 (g) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188235 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25537742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 4. Let v be r(5). Let f be ((-1)\/2*-2)\/v. Let j(m) = m**3 - 17*m**2 + 3. Let c be j(17). Sort 0, f, c in decreasing order.\nAnswer: c, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -15. Suppose 24 = -3*i - b. Let w(a) = -a**3 - 8*a**2 + 18*a + 9. What are the prime factors of w(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*k + 64 = z, -3*z + k + 108 = 0. Is z < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 14*c + 9. Let k be o(-14). Let n be (3\/5)\/(k\/5). Let s = 0.013 + 0.387. What is the smallest value in n, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:36 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1.8 (b) 3\/2 (c) -0.1 (d) -0.6905\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8152 divided by 9564?\nAnswer: 2038\/2391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from bbbbbbzzbbbbb?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 - 11*b**2 - 75*b - 171. Calculate the remainder when 102 is divided by g(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290487233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*d*s**3*z + 2862*d*s**2*z - 15*d*s - 19*s**3*z - 18*s**3 + s**2*z - 12*s**2 + 9*s*z wrt d?\nAnswer: 20*s**3*z + 2862*s**2*z - 15*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85054*o**2 + 112342*o.\nAnswer: 170108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -128, 1 in decreasing order.\nAnswer: 1, -10, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -27*o + 25. Let y be w(3). Let k be 2373\/y + (0 - 9\/(-24)). Is -42 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 556\/(-132) - (-808)\/(-6666)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024 is divided by 1501?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1864627 divided by 66.\nAnswer: -1864627\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let l(y) = -140*y**2 + 2*y - 165. Let u(i) = -420*i**2 + 6*i - 550. Let z(v) = -10*l(v) + 3*u(v). What is w(z(r))?\nAnswer: -140*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 626736 = -3834584. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.4534 + 0.832.\nAnswer: 27.2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 25575*q + 383650\/3.\nAnswer: -(q - 76730)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l**2 - 5*l**2)*(4 - 4 + 3*l) - 5*l**3 + 4*l**3 - l**3 + 1 - 3*l**3 - 3 + 3 + 7*l - 4*l**3 - 7*l.\nAnswer: -15*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 134076240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 - 40*d**3 - 326*d + 648*d - 135*d**3 - 328*d.\nAnswer: -198*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {e: 2, n: 3, b: 2, j: 6, v: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 10*a**2 - 8*a**2 + a + 0*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 29*u**5\/60 + 17*u**3\/6 - 49*u**2. Let j(i) = 5*i**2 + 3. Give -34*j(h) + 6*r(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33036133 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/(-6))\/((-3)\/9). Suppose 0 = 8*h - l*h. Suppose c + 276 = 5*k, k + 4*c - 48 - 3 = h. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 - -416. Suppose -f - 3*c - 20 = -87, -3*f - c + w = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a + 3*a - 7*a + 12*a. Let r(y) = -5*y**2. What is o(r(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/10 + (-3)\/(-5))\/(124 + 73850\/(-595)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/4 - -559. Find the common denominator of i\/8*(-1)\/(-6) and (-35)\/16 - 1\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 28 = 2*b. Let h = 26 - b. Let j(r) = -r**3 + 12*r**2 + r + 4. What is the units digit of j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*a + 6, 0 = 2*v - 6. Solve -1 = -i + a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 - ((-34)\/(-5) + 28\/(-35)). Put o, -4, 1\/7, -0.3, 8 in descending order.\nAnswer: o, 8, 1\/7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84298)\/(-14))\/1 + (-35)\/((-4165)\/(-34)). Calculate the highest common divisor of s and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 4*z, -4*z - 10 = -2*q - 5*z. Is ((-3)\/q)\/(2\/(-596)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -8*r - 7*r + 2*r - 265 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*w**6 - 2*w**3 + 59*w**2 + 5.\nAnswer: -14160*w**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:36 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 - 88*v**2 - 4615*v - 42926 = 0. Calculate v.\nAnswer: -26, -13, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171861732?\nAnswer: 2, 3, 7, 233, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -4. What is the second derivative of -s - 5*s**5 + 0*s - w*s + 3*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*q**3*w + 2*q**3 + 2*q**2*w + 132*q*w + w wrt q.\nAnswer: -210*q*w + 12*q + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -36*s + 66*s - 37*s + 6 - 3. Let j(x) be the second derivative of x**3\/3 - 2*x. What is t(j(l))?\nAnswer: -14*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7. Let c = -1\/26 + 59\/182. Are c and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35027350 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -244 + -6223?\nAnswer: -6467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192101524 to the nearest integer?\nAnswer: 13860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 540627 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 7, n: 2, j: 1, p: 3, i: 3}. Give prob of sequence iwn.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*d - 3*n + 69 = -144*d, -50*d = -17*d - 2*n + n + 399 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Suppose a = -z + i, z + 15 - 2 = -5*a. Let x be 1183\/21 - 2\/6. What is the greatest common divisor of x and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.74 + 17. Let k = s - 1.36. Let u = 2.9 - k. Which is the nearest to -1\/3? (a) 5 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(4)*3 + -5.\nAnswer: -5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a factor of 9938712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14780*j**3 + 7916*j**3 + 6889*j**3.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z)**(-23)*((z\/(z\/z**(-1\/4)))\/z)\/z**(-1\/3) assuming z is positive.\nAnswer: z**(-149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8294*v**3 - 3*v**2 - v + 1. What are the prime factors of u(1)?\nAnswer: 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 22 = -y, -8*y - 2 = -9*y. Let u be 0 - (2 + 3*-1). Suppose -r + 3*z + 18 = 0, -2*z + z + 4 = 3*r. Put u, d, r in increasing order.\nAnswer: u, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108358895?\nAnswer: 5, 911, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -571, -464, -275, 2, 373, 844?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * -5649.\nAnswer: -423.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3552)\/15 - -7*4\/(-140). Let r = -235 - k. Solve -r*m + 1 = -l - 4, -5*m + 4*l + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g + 6*g - 8*g)*(-5 + 2 + 4) + 3*g - 3*g - 3*g)*(5 - 3 - 12).\nAnswer: 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1463*3.\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 46*s + 29. Let c be 2\/(-11) + (-52)\/(-44) + 3. Is 27 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11520.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4128190 and -67\/300232?\nAnswer: 16512760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -107?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1176 and 2184.\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let w = 0.88 - 0.1. Let k = w - 0.38. Which is the nearest to -0.1? (a) 0.2 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -531838 or -1?\nAnswer: -531838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/18 - (-2 - (-103)\/3). Sort -18, s, -5, -2 in increasing order.\nAnswer: s, -18, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-141803 - -13)\/(-22) - (-4)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3465.41964 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {b: 2, s: 2, z: 1, w: 3, y: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, -31, 2 in decreasing order.\nAnswer: 3, 2, 1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 - -260. What is the lowest common multiple of t and (43\/9 - 16\/(-72)) + -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -13*c**5\/60 - c**4\/24 - 20*c**2 + 4*c. Let m(f) be the first derivative of s(f). Find the second derivative of m(v) wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/15*(-2)\/(-40)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -467118480 divided by -116779620?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6*s - 370 = 3*s, -5*f - 4*s + 1872 = 0. Let t = f + -184. Is t\/15 - (-1)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/2 + k**3\/2 - k**2\/2 - 213*k - 1. What is h(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 14*u - 28. Let y = 617 - 605. Determine g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129193872 a multiple of 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 26*g - 163. Calculate y(-52).\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-29))\/(17\/(-493))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -73844.\nAnswer: -1550724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204078*m - 68021*m - 68035*m - 68028*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + 3.87. Suppose 8*f - 9*f + 2 = 0. Suppose -4 = 2*j - f. What is the nearest to j in -0.4, c, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 38 = 3*o + 30, 4*o = 2*f - 24. Let l(a) be the second derivative of 5\/72*a**f - 1\/120*a**5 - 1\/12*a**3 + 0 - 4*a - 3\/4*a**2. Factor l(h).\nAnswer: -(h - 3)**2*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 13*g + 2. Let z be q(-12). Suppose 34 = 4*y + z. Let i = 114.5 + -114. What is the third biggest value in y, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**2 - 449*d + d**3 + 0*d**3 + 915*d - 455*d.\nAnswer: d*(d + 1)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 23*b**5 + 678*b**3 - 678*b**3 + (-b + b + b**4)*(4*b + 3*b - b).\nAnswer: 29*b**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -0.4, 3, 2749, 0, -5 in increasing order.\nAnswer: -57, -5, -0.4, 0, 3, 2749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * -7036.\nAnswer: 323656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35889884 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**2 - 26*f**3 + f**4 - 2*f**2 + 28*f**3 + 2*f to the form s*f**3 + d + a*f**4 + y*f**2 + o*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 0, 6, 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688996 divided by 172249?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Solve k*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10 - r + 0*r + 10. Let l(y) be the second derivative of -17*y**4\/3 + 16*y + 2. Give l(x(k)).\nAnswer: -68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - 19) + 69 + -10?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/6)\/((-37)\/10545)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/60 + k**4\/8 - k**3\/3 - 251*k**2. Let u(s) = -2*s**2 + s. Let z be u(1). Let t = -3 + z. Determine c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.130538 * -0.073.\nAnswer: 0.009529274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11*x - 16 = 0. Suppose 0 = -5*q - 0*q + 30. Sort x, q, 0 in descending order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41302190 and 87877.\nAnswer: 41302190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -218*p + 58. Let z(g) = -975*g + 260. Give 40*q(k) - 9*z(k).\nAnswer: 55*k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34247*n + 22129*n**3 - 22132*n**3 - 34250*n + 68497*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320.7981 rounded to the nearest integer?\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luluullluuklkullul. What is prob of sequence uu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmooiqiwv. What is prob of sequence mwv?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -g + 2*g + 1, -t - 2*g + 2 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 4*v - 4. Let u be h(2). Let b be 0\/(-3) + 1\/(-4). Let k = -10 + 12. What is the nearest to b in u, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12366.395926 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2689, -2696, -2703?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6125.1 * 0.753.\nAnswer: -4612.2003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/7 + 148*y**3\/7 - 698*y**2\/7 + 552*y\/7 = 0.\nAnswer: 0, 1, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -294 * -3385\nAnswer: 995190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/5 + 24\/(-60). Let v = 4 - a. Let b(m) = m**3 + m. Let h(x) = 7*x**3 + 2*x**2 + 6*x + 1. Let r(l) = 4*b(l) - h(l). Determine r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533 + 473 = -4*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 102*p + 10074. Calculate the lowest common multiple of r(-92) and 450.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 + (-29)\/(-21). Suppose 0 = d + 3, 2*t - 3*d = -7*d - 14. Which is the closest to 1\/2? (a) t (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/180 + p**4\/36 + p**3\/6 - 3*p**2\/2 + 4555*p. Factor b(d).\nAnswer: -(d - 3)**2*(d + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/5 - 333564*w**2\/5 + 1391845248*w - 43083115520.\nAnswer: 4*(w - 41680)**2*(w - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -39, -91, -171, -285, -439, -639, -891?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 14. What is the units digit of h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/602301 and -37\/246519.\nAnswer: 164428173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 2, u: 3, x: 1, v: 1, h: 3}. What is prob of sequence uhib?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.3723672 - -6.371. What is c rounded to 5 dps?\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11068 - 5526 - 2*k - 5568.\nAnswer: -2*k - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*x + 5*f, 4*x + 4*f - 3*f - 26 = 0. Let w(s) = 2*s**2 - 7*s + 6. Let m be w(x). Let n = 89 - m. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4145710812 + -34840553751595\/8404. Let p = -4\/6303 - h. What is the common denominator of p and -103\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 7*k**5\/30 + k**4\/3 + 14*k**2. Let t(f) = 9*f**2 + 5*f. Calculate -5*o(n) + 8*t(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -3, 26?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-180) + 22\/((-220)\/(-18)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155311 is divided by 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-2)\/4*4. Let b = h + -8. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 31020*h**2 + 80186700*h.\nAnswer: 3*h*(h + 5170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 times -5?\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 11, o: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*k = -30, 4*r + 5*k - 16 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-6)\/3)\/6)\/(23\/(-345)). Suppose 2*k + 4*j - 10 = -2, -34 = -b*k + 4*j. Solve 7*o - 1 = k*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1430 - 2040. Let w = 612 + j. Suppose -i + 5*k + 12 = 0, -3*i - k = -4*k + 12. Which is bigger: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.8 and 29.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 3*sqrt(84) + sqrt(84))*-1)\/(sqrt(108) - -6*-1*sqrt(108)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/48*(-32)\/108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 + 5 + -5. Let q = -0.3 - -3.3. Which is the second biggest value? (a) 0 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 + 7*w**4\/6 - 7*w**3\/3 + 9*w**2\/2 - w. Let j be t(-11). Suppose -4*g + 541 = -3*y, 4*g + y = -y + j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 88*h**2 - 95*h**2 + 363*h**2 - 87*h**2 - 9611 - 96*h**2.\nAnswer: 4*h**3 - 3*h**2 - 9611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27339, 1, -60 in decreasing order.\nAnswer: 27339, 1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0 - (-16 - 6). Which is smaller: b or 25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12242 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*p + 7575 + 2723 = -46*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 + 0*v + 3*v + v**3 + v - 11*v + 8. Let o be l(6). Suppose -u - 4*f + 7 = 0, -7*f + 3*f = -o*u + 2. Solve 0*t - u = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 + 2. Suppose 3*h + 5 = 2*h. Let v be o(h). Suppose -f = v*f - 69. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/7 - 18*y**4\/7 + 26*y**3\/7 + 50*y**2\/7 - 96*y\/7 + 40\/7 = 0. What is y?\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109.564 - 127469.\nAnswer: -127578.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3 + 3405*r**2 = 0.\nAnswer: 0, 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4562188*f**3 - 10467352 wrt f.\nAnswer: -13686564*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v + 98. Let g be o(-24). Let k(p) = -6*p - 35*p - 8*p + 0 - g + 4. Let a(q) = 4*q**2. What is k(a(x))?\nAnswer: -196*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 569 = -69. Suppose -4*i + t = i. Suppose 2*o - 281 = -2*h + 275, -1094 = -4*h + 2*o. Calculate the highest common factor of h and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154304?\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + -2*((-2*(sqrt(832) - sqrt(832)*-3)*-3)**2 + 3).\nAnswer: -958471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252265 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62427 (base 8) to base 7.\nAnswer: -135310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 14*b - 13. Give g(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -362.33 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 1111*d**8\/112 + 5*d**4\/12 + 61*d**3\/3 + 969*d**2. What is the second derivative of j(w) wrt w?\nAnswer: 66660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12312 or -12307?\nAnswer: -12307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 500 + -498. What is the derivative of 110 + 146954*y + 38*y**f - 146954*y wrt y?\nAnswer: 76*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00602 to 4 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 2529314925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1968 - 985 - 637716*k**2 - 983.\nAnswer: -637716*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -4 + sqrt(153))**2 + 6*(-3*sqrt(153))**2 + sqrt(153).\nAnswer: -39*sqrt(17) + 8460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 + 36*q**2 + 108*q + 108 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1333 - -2039. Let h be ((-4)\/(-3))\/(-2) - r\/(-6). Suppose 0 = -23*c + 19*c + 36. What is the greatest common divisor of h and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13728\/(-221 + 78) + ((-18)\/(-1))\/(-1)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 8 - (2 + -35 + 39).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f, -2*b + 4*f - 2*f + 1458 = 0. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(-6*(sqrt(1053)*2 + 3) - (sqrt(1053) + 3*(1 + sqrt(1053)))*-3)**2*2.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6675952249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + sqrt(2057) + -1 + -4 + -5.\nAnswer: -10 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 4*h - 8. Let p(f) = -5*f. Let u(n) = -9*n - 1. Let a(v) = 11*p(v) - 6*u(v). Let l be a(0). What is the least common multiple of o(l) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101313421 (base 5) to base 6\nAnswer: -122443325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.1. Let w be 1\/3*9\/12. Which is the nearest to w? (a) 2\/3 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342\/(-912)*28\/6*2*9\/7?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-94 + -10 - (5 + -7 + -8 - 3))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 16*p - 35 = -5*z, 20 = 4*p. Let b = 51288\/41 - 1251. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52500 or 515?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7470 and 20838810?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 - 5*g**4 + 0*g**4)*(-8 + 27 - 5) - g**4 + 2*g - 2*g.\nAnswer: -29*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 4)*(-60*v + 16*v - 13*v) + 3*v + 2*v - 4*v + (0*v + v - 2*v)*(4 - 2 + 0) to m*v + g and give m.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*l**4 - 1793*l**3 - 4842*l**2 = 0.\nAnswer: -2, 0, 2421\/314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/13 - 252*h**4\/13 - 1634*h**3\/13 + 3068*h**2 + 330432*h\/13 + 645568\/13 = 0.\nAnswer: -11, -4, 14, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3731443.\nAnswer: 3731443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 918 - 911. Suppose -1405 = h*r - 11604. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100500293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*a + 67224715 = -57147718. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/(27\/45)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346876 divided by -244.\nAnswer: 86719\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 6061488.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c**2 - 2863*c - 144. Calculate z(-106).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.6 - 9.854. Let v = n + 0.28. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1224 - -1778. What is the remainder when c is divided by 273?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 0, 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -1)*(17 + 3320\/(-195))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1558 and 2988016?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b\/(b*b**(6\/19))*b**6 assuming b is positive.\nAnswer: b**(146\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/6 - 2*w + 20. Let v(k) = 4*k. Give v(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5846958380 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 + 14 = 0. Let w be (2 - -24)*(0\/14 - -1). Solve 14 = -q*z + w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 6*y**2 - 4*y - 2. Let i be c(5). Suppose -2*f - 5 = 2*f - 3*g, 2*g = i*f + 4. Let r(o) = -7*o + 1. Does 15 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 22200?\nAnswer: 22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 36 in decreasing order.\nAnswer: 36, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/5 + 14512*r**3\/5 + 26353776*r**2\/5 + 105241024*r\/5 + 105183008\/5 = 0.\nAnswer: -3626, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d**2 - 2*d. Give a(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 5)*(-1 + 2 + 1)*(h - h - 4*h)*(0 + 4 - 2) in the form x + l*h and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 179 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125249213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.471 - -3926.971. Round a to the nearest ten.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-3 - -2) - -1. Suppose 0 = -g*i + 4*i - 8. Suppose 4*y - 4 = 4. Solve y*p = -i - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40825 (base 14) to base 13.\nAnswer: 55896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 7 = -23 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.04551\nAnswer: 0.22755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 - 7*n**2 - 3*n - 1 + 5*n + 7259*n**3.\nAnswer: 7259*n**3 - 15*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2 + 4*a - 3. Let q be (-6821)\/(-9) + 2\/(-9). Let h = -770 + q. Find the common denominator of h and b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*r = -4. Let c be (-2)\/r + 0 + 3. Solve 0*o**c - 1 + 2*o**2 + 2*o + 2 + o = 0 for o.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3157, -12715, -28673, -51031, -79789, -114947?\n\"Answer: -3200*s**2 + 42*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.9124905 to one dp.\nAnswer: 81.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379323*a - 3*t + 6 = 379326*a, -7*a + 10 = 7*a + 5*t - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7642 and -0.281972624.\nAnswer: 7641.718027376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-470)\/4*(-25 - -23).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b*d**3*y - 129616*b*d**3 - 6*b*d**2 + 24*d*y - 1634*y wrt d?\nAnswer: -54*b*y - 777696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1312 or -1314?\nAnswer: -1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2310*v + 2307*v = 2*t + 28, -v = 3*t + 28 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + -1*sqrt(468))*-2 - (sqrt(468) + 1 + -5)) + 3)**2.\nAnswer: -84*sqrt(13) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 - 14*j - 392 - 728 - 4*j.\nAnswer: -18*j - 1240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*c + 2477 - 1279 = -1202. Solve -15*u = -31*u - c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snwngmxg. What is prob of sequence nsgx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -17*n**3 + 4*n + 2 + 49\/4*n**4 - 12\/5*n**5 + 0*n**2. Solve r(v) = 0 for v.\nAnswer: -1\/4, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/16))\/((c**(-2\/3)*c)\/c))**(-27) assuming c is positive.\nAnswer: c**(-693\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/8)*g**(7\/3))**(-38) assuming g is positive.\nAnswer: g**(-779\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from siizh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 3*v - 3. Let z(n) = -4*n**2 + 14*n - 14. Let u(j) = 14*a(j) - 3*z(j). Let f(h) be the first derivative of 11*h**2 + 10. Give f(u(d)).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8076 by -1.\nAnswer: -8076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/26 + 34542\/35802 and 9\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 136*b + 64. Let g be w(31). Let k be g\/1416 + (1 - 1) + -3. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.46 - -4.46. What is the closest to 0.1 in -0.02, s, -12?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -4 - (-1 - (14 - 2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 135 - 12937?\nAnswer: -12802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 474576 and 593220.\nAnswer: 2372880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198.5203 - 0.0203. Let y = g - 198. Sort 4, -3, -2\/7, y.\nAnswer: -3, -2\/7, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-6)*(-12)\/14. Suppose 3*b + 0*b - 2*s - 2037 = 0, 0 = s + d. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - z - 15 = 0, 0*z = -z - 3. Suppose 2*i - 2*c = -c + 36, -5*c = -a*i + 66. Find the second derivative of i*q + 21*q**4 - 81*q**4 + 42*q**4 wrt q.\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6674 + 6680. Which is the closest to -0.02? (a) 4\/15 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 364*v**2 + 2656*v + 4688. Calculate j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/12 - a**3\/3 - 3*a**2\/2 - 5*a. Let q be l(-2). What is the least common multiple of ((-10)\/q)\/(-2) + 15 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 1.8. Which is the nearest to s? (a) -2 (b) 2\/5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let t(h) = -11*h - 3. Let m(b) = -6*g(b) + t(b). Is m(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-2 + (-108)\/(-56)). Is -1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.3 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 76785?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -8) + 8 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*w - 21. Let q(x) = -24*x + 19. Let g(k) = -12*k + 9. Let j(m) = -13*g(m) + 6*q(m). Give j(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by -940755?\nAnswer: -89\/940755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.4003 to two dps.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-one halves of a hour?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 633404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1063972)\/(-21567)*3\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:16 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/180 + 3*b**3 - 6*b**2. Let u(j) be the first derivative of h(j). Let o(a) = -24*a**2. Give o(u(z)).\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5 (c) 19 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767371 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/5)\/k*k\/(k\/((k\/(k*k*k**(-1)*k))\/k)))\/(k*(k*k\/k**(-2\/11))\/k*k*k**0))\/((k**(-1\/2)\/(k\/(k\/k**7*k)))\/(k*k**(-1)*k)**(-11)) assuming k is positive.\nAnswer: k**(-1197\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/6 + 11\/6. Let k be ((-4)\/32)\/((-3)\/18). Which is the closest to p? (a) k (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 887*t - 20*t**2 - 886*t - t**2 + 0 + 0 - 4*t**2 + 2*t**2 + 3*t**2 + (-4*t + 0*t + 3*t)*(4 - 4 + 2*t).\nAnswer: -28*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1467 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -121*f**5\/20 - 26*f**3\/3 + f**2 - 3*f - 188. Find the second derivative of i(g) wrt g.\nAnswer: -726*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -716 - 33. Let i = -697 - n. Calculate the remainder when i is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 246\/42)\/(-3 - -4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 231*f + 427. Give p(-48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -149*p**6\/30 + 667*p**2\/2 + 1721*p. What is the derivative of l(n) wrt n?\nAnswer: -596*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 2*q + 0*q + 374.\nAnswer: 2*q + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14786176 divided by 71.\nAnswer: -208256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-16)\/(-8) + (-6)\/(-2). Solve a*n = -1 + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*l + 3*p, -3*l + 3 = p + 2. Solve 3*b + 3*c = 1 + l, 2*b - 3*c + 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 4*y - 4, 4*y - 2 = -2*u + 3*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647659.\nAnswer: 647659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.165218593 + 0.2.\nAnswer: -14.965218593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -18 (c) 4\/3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*v - 6, 3*v - 5 = -o. Solve 0*l - o*l + 11 = 3*j, -5*j + 9 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25409895 to the power of 1\/2, to the nearest integer?\nAnswer: 5041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/300 + i**4\/60 - i**2\/2 - i. Let z(d) be the first derivative of g(d). Determine q so that z(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bggg when four letters picked without replacement from gijigztbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36607, 36608, 36609?\n\"Answer: q + 36606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 4. Let r be x(8). Let i be (r\/(-6))\/(8\/48). Let u = i + 42. What is the least common multiple of u and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -23, -21, 575, 5, -2 in descending order.\nAnswer: 575, 5, 2, -2, -3, -21, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 29. Let w = -8 - q. Suppose -2*i + 16 = 5*u, -u - w*i + 9 = -4*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1174661\/20 - -58720. Let u = y - 1\/5. Let j = 5336 - 42783\/8. What is the common denominator of j and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = 53*l + 78. Suppose -3*m = 3*k - 51, -2*m - 2*k = -k - l. Suppose m - 19 = g. Solve -2*z = -g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*i**2 - 13 - 29 - 20*i**2 + 29*i**2 wrt i.\nAnswer: -74*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1470)\/(59 - (-24149)\/(-410))?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.1359t in milligrams?\nAnswer: 416135900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22337839*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525990071?\nAnswer: 3, 508663357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 88276.\nAnswer: 35\/44138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 0.06, -1.61, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3391*j**2 + 33914*j - 36. What is m(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11558.3836 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -23*d**3 - 4*d**2 + 4*d + 4. Let m(y) = y**2 - y - 1. Calculate -b(j) - 4*m(j).\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 16 = 2*k. Let j(r) = -r**2 + 17 + 8*r - 12 + k*r. Let v be j(11). Solve 3*d = -4*f + v, -5*f + 16 = -5*d - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 0*h + 3*h + 26. Let a(b) = -7*b + 2. Let o be a(1). Let g be l(o). Is 3\/25 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -150?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -3*b - 80. Let o be -3*(3\/(3\/b))\/(-3). Solve -f = 1 - o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20747 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.691 + -0.239. Let z = -0.53 - n. Let q = 0 + z. What is q rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 14. What is the third smallest value in -1\/7, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 205*w**2 - 39141*w - 99. Give b(191).\nAnswer: 2575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1636 + 1846. Calculate the remainder when z is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**3 + 2*h**3 - 2*h**3)*(-1 - 3 + 2)*(-23*h - 24 + 24).\nAnswer: -322*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46375099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 7:21 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from fqozqozx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2129, 8562, 19307, 34382, 53805, 77594, 105767, 138342?\nAnswer: 175337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175879592?\nAnswer: 2, 7, 61, 51487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 29700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 8 = -2*u, 2*f = -u - 3*f - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/12 + 5\/(-20). Suppose -6*j + q*j = 0. Differentiate -2*f**2 + j + 5 + 0 with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 16*z - 128. Let p be m(30). Let k = 30 + p. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**4 + 11*l**4 - 6*l**4)*(-5 + 36 + 59)*(-2 + 0 + 1) to i*l**3 + p*l + t + y*l**4 + z*l**2 and give y.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29643734*a**3*i**3 - 42*a**3*i + a**2*i - 60329*a*i wrt i.\nAnswer: -177862404*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*s - 5*x, -2*s - 3*s - 3*x = -7. Is -1\/12 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36719 and 97582?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**3 - 57*u - 60*u + 4 + 123*u - 17*u**3 to o*u + t*u**3 + h*u**2 + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 + 2*k**2 - 3*k - 1\/3*k**3. What is the derivative of x(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73071, 73074, 73077?\nAnswer: 73080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h - 13. Let f be y(9). Suppose 3*n + 12 = -t, -5*t - n = n - f. Differentiate a**2 + 2*a**t + 3*a**3 - 5 - a**2 wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/20 - (-1)\/10. Let y = 3.93 + -4.1. Let f = y + -1.83. Sort 4\/5, f, l.\nAnswer: f, l, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 51 - 8*o - 24 - 24. Let c be r(-9). Is 5 a factor of (-4)\/c - 22\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:01 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose 2*o = -f*o + 6645. Suppose 3*y + o = -171. Round y to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3261 - -0.1261. Which is the third biggest value? (a) 2\/85 (b) -2 (c) -1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 8*w**2 + 8*w + 12. Let s(i) = -2*i**3 + 13*i**2 - 17*i - 23. Let v(o) = 11*k(o) + 6*s(o). Give v(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2423 to 2 decimal places.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/241 or 1?\nAnswer: 10\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7 = 9. Suppose 53 = k*v - 75. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91127 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 19*a + 3. What is z(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/5 + 34941*y**3\/5 - 83763*y**2 - 523653*y\/5 + 181506 = 0 for y.\nAnswer: -2, 1, 13, 11635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 885*v - 64 + 126 as j + q*v and give q.\nAnswer: -885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237312411 is divided by 131.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6461 = -193*y - 7426 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p - 560. What is the smallest common multiple of c(32) and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 9:26 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/6)*u\/(u*u**(1\/7)))\/(u\/u**(-1\/2))**27)\/(((u**(1\/3)\/u)\/u*u)\/(u**(-1)*u))**(14\/5) assuming u is positive.\nAnswer: u**(-4159\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3401, -3527, -3697, -3911?\nAnswer: -4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -112 times 0.055\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 6*t)*(-39 + 15*t**2 + 39) + (2 - 2 - 3*t**2)*(3*t - t - 3*t) + 9*t**3 - 42*t**2 + 42*t**2.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -774997552 divided by -2696\nAnswer: 287462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311*q + q**2 - 27*q - 360*q + 61*q + 136*q**3 wrt q.\nAnswer: 816*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-435)\/(-40) + 5\/40. Let p(h) = h**2 - 6*h - 27. Let r be p(o). Suppose -r = -3*c - 0*y + 4*y, 4*y = 5*c - 60. Solve -6*q - c = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t - 56 = -74*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p + 4. Let z be o(3). Suppose 9 + z = -2*j. Let l = j - -56. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911) + sqrt(1911) + (sqrt(1911) - sqrt(1911)*-1) + sqrt(1911))*-3)\/(2*sqrt(27) - (sqrt(15) + sqrt(135) + sqrt(15))\/sqrt(5)).\nAnswer: -105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266584 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 8 + i - 3*i**2 + 10 to the form k*i + r*i**2 + v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 + -1928\/7. Let r = 19\/21 - o. Which is the smallest value? (a) 3 (b) 2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o - 13*o - h - 74 = 0, -5*h + 116 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {c: 6, f: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/5 - 217376*z\/5 - 217378\/5 = 0 for z.\nAnswer: -1, 108689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 3. Let h be t(5). Let q be -166 + -7 - 2 - (-3 + -3). Let r = 172 + q. Solve -h*u + r + 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 + 0 - 2*v**3 + 3)*(2 - 2 - 2) to h + c*v**3 + p*v**2 + o*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.901000197 - -3.901. Round c to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73698.5879 to the nearest 100.\nAnswer: 73700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 276638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -254208 + -247?\nAnswer: -254452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f*(f**(-4)*f)\/f*f*f)*f*f*f**(-39))\/((f*f\/(f*(f\/f**33)\/f)*f*f)\/(f\/(f*f*f\/(((f*(f*f*f**(-2\/41)*f)\/f)\/f)\/f)))) assuming f is positive.\nAnswer: f**(-2913\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a**2 + 1. Let j be m(8). Sort -5, j, -2, 7 in descending order.\nAnswer: 7, j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 4888345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -5\/6*t**3 - 6 + 6*t - 7*t**2. Suppose i(s) = 0. What is s?\nAnswer: -6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19389 - -25202. What are the prime factors of b?\nAnswer: 17, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(220\/((-4048)\/(-92)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c = -5*c + 256. Let l(i) be the third derivative of -2\/525*i**7 + 2\/15*i**c + 0*i + 0*i**3 - 9*i**2 + 4\/75*i**5 + 0 - 1\/150*i**6. Factor l(x).\nAnswer: -4*x*(x - 2)*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2678172, 3, 93 in descending order.\nAnswer: 2678172, 93, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -23902.22 to the nearest 100.\nAnswer: -23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13089695 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63 - (17 - 18)*(-2)\/2. Suppose -w*q + 65*q - 6 = 0. Let k(f) = 2*f**3 + 3*f**2 - 2*f + 1. Calculate k(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1137684 and -0.4?\nAnswer: -0.04550736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 13*z - 14*z - 1242*z**2 + 37*z - 10*z + 1253*z**2.\nAnswer: 11*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 + 26\/(-10). Let z = -3.2 + 0.6. Let h = 1.6 + z. Put y, -2\/7, h in descending order.\nAnswer: y, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3835 + 3888. Solve 0 = 64*u - i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.4*-88\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8729737249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 65*b = -11*b + 2090620. What are the prime factors of b?\nAnswer: 2, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*y - 12*y - 13 - 15*y + (-4 + 1 + 5)*(-3 + 4 + 5)*(-37*y + 23*y + 29*y).\nAnswer: 170*y - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**11*n*n)**(-2\/107) assuming n is positive.\nAnswer: n**(-28\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 15*t - 548. Let g be o(13). Put g, 26, 2, 3 in increasing order.\nAnswer: g, 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29036 is divided by 11523?\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -742.0046882 to two dps.\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35924 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sorszxzrsoorsooo. Give prob of sequence zox.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77037 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q - 2. Let w(u) = -u**3 + 7*u - 1. Let k(f) = 6*w(f) - 7*y(f). Let n be k(0). Let l(c) = 18*c - 24. List the prime factors of l(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -112a?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:25 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 239 in increasing order.\nAnswer: -5, 4, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (-11 - -17) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214914 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847046 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**2 - 27*n**2 - 41*n**2 - 3*n + n.\nAnswer: -112*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*w - 52*w**3 + 28*w**4 + 5*w**5 - 11*w**5 + 3 - 8*w + 1 + 48*w**2.\nAnswer: -2*(w - 1)**4*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2905, -2914, -2937, -2980, -3049, -3150, -3289?\nAnswer: -3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624594 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/4 - 58\/(-87)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97866812601 - -1.18.\nAnswer: -97866812599.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10*(-5 + 10). Solve 8*b + 32 - 16 - 24 - 2*b**k = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1184)\/1480)\/(18\/(-20))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, g: 2, c: 9, r: 3, o: 3}. What is prob of sequence ge?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404 (base 7) to base 3.\nAnswer: 21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -4*b**3\/3 - 1. Let h(j) = -6*j**2. Give h(p(s)).\nAnswer: -96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -28\/5*c**2 + 72 + 2\/5*c**3 - 54\/5*c = 0.\nAnswer: -4, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.444 + 2.556. Which is the nearest to 2? (a) 1\/3 (b) -0.2 (c) 4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = c - 21, 87*l - 126 = -5*c + 88*l. Solve 0 = 11*a - 3 + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13835 - 13835 + 23*y**2.\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126339.5l in millilitres?\nAnswer: 126339500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - 2*t)*(4*t**3 + 2 - 2) + 0*t**3 + 0*t**3 + t**4 + 4787*t**2 + 2765*t**4 - 4787*t**2.\nAnswer: 2770*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 10:23 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60723, -58504, -54803, -49620?\nAnswer: -42955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 14. Calculate the remainder when 18 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*f**5 + 1032*f**4 + 1604*f**3 + 192*f**2 - 400*f = 0. What is f?\nAnswer: -50, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 371 + -355. Let j = -2 + 7. What is the first derivative of -484*o**3 - j - q + 493*o**3 wrt o?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22243)\/2782 + (11 - 3))\/((-1)\/4).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**(1\/11)*g)**(5\/12) assuming g is positive.\nAnswer: g**(115\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let n = 67 - 65.6. Let x = j + n. Put 4, x, 0.1 in descending order.\nAnswer: 4, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1463*m**2 - 382*m**2 - 2731*m**2 + 429*m**2 as f*m**2 + x + o*m and give f.\nAnswer: -4147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10840*n*u**2 - 7997*n*u wrt u?\nAnswer: 21680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -517000 (base 11) in base 10?\nAnswer: -829213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. Let s be ((-30)\/(-12))\/((-6)\/39). Let y = -16 - s. Which is the closest to y? (a) -4 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 662.4 and 0.01.\nAnswer: 6.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143875252.\nAnswer: 2, 71, 127, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z = -5*g - 24*z + 20, -g = 5*z - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43898\/546390 + -1*7\/63.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*(-4)\/(-2))\/((-11)\/(-143)*-13)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1115494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -37, -55?\n\"Answer: -18*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1474 (base 12) to base 8\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 1 + sqrt(1008)*-2*1 + (sqrt(1008) + sqrt(1008)*-2 + -5 + sqrt(1008) + sqrt(1008))**2.\nAnswer: -144*sqrt(7) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-7))\/(5\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 14706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2.2 (b) -0.3 (c) 549 (d) 1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233688 is divided by 1140?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141269 + -95269. Round f to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 5 - 301*g + 0*g**2 + 303*g + g**3. Let i = 49 - 45. What is m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 74*m - 14. Calculate p(-21).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.209209 to two decimal places.\nAnswer: -4.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h**2 + 5*h - 5. Let r(x) = -7*x**2 + 6*x - 4. Let i(f) = 6*c(f) - 7*r(f). Let o be i(12). Is 8 a factor of 7\/(-14) - 33\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3242 is divided by 3169.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7097652 + 23?\nAnswer: 7097675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1348430461155699 + 0.5.\nAnswer: -1348430461155698.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 18. What is the least common multiple of 1 + 10*b\/4 and (0 + -1)\/((-9)\/18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.6519 years to months.\nAnswer: 1495.8228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*k + 5 + 46*k + 58*k + (-7 + 9 - 6)*(0*k + k + 2*k).\nAnswer: 11*k + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uunnb. Give prob of sequence nuun.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Which is the smallest value? (a) 1\/3 (b) m (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.22, -4466\/37, 0.01 in decreasing order.\nAnswer: 5, 2, 0.01, -0.22, -4466\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:02 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 3*k - 4. Let j be t(11). Suppose -2*n + 3*o - 5*o + j = 0, -4*o = 8. Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2257, 5356, 8461, 11572, 14689, 17812?\nAnswer: 20941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1732005 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35558 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (124\/(-744))\/(0 - 3\/1494). Solve -79*n = -j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 40*v - 39*v - 8 = 0, -5*f - 4*v - 13 = 0. Let a(m) = -7*m - 33. Calculate a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -23 and -0.0746237 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30246?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose y = -5*n - 0*n - 25. Let w = n + 6. What is the highest common factor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, -31, -2.\nAnswer: -31, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38364087070 less than 758?\nAnswer: -38364086312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13967\/2 + -7137. Let x = i + 154. Factor 0*w**3 + 0 + x*w**5 - 1\/2*w + w**2 - w**4.\nAnswer: w*(w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1195, -2352, -3457, -4504, -5487, -6400, -7237?\nAnswer: -7992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 + 57366?\nAnswer: 57212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60.91971 millilitres?\nAnswer: 0.06091971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**3 + 2*x - 2. Let f(y) = 11*y**3 - 5*y + 6. Let h(n) = 8*b(n) + 3*f(n). Calculate the remainder when 106 is divided by h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1812*w - 1326. What is the units digit of f(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/55 and 1854\/(-210) - 20\/35?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**3 - 27*c**2 - 18*c + 31. Calculate f(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -53*z**5\/10 - z**4\/4 - z**3\/6 + 8613*z**2\/2 - 5236*z. What is the derivative of c(i) wrt i?\nAnswer: -318*i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359047 is divided by 343.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4856 + 3104 = 4*d. Calculate the remainder when d\/25 + 3\/(-5) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2812*l - 2852. What is q(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132883.\nAnswer: 83, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (756\/70)\/2*155\/(-186)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 790491.865 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2.5\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-4 + 8))\/((-3)\/905). Suppose -8*b + n = -831. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 13*d - 20. Let c be q(-11). Suppose c*k = 7*k + 12150. What is k rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11044734, 22089456, 33134178?\nAnswer: 44178900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3.2 (c) -0.0907 (d) -89\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Suppose -x - z = -3*x. Is 2*(-1 - x - -3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*z - 104578 - 108986. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b - 14*b + 7*t = 18*b + 21*b - 16, -4*b - 3*t = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*g*u + 90*g + 139*u + 6 wrt g.\nAnswer: 15*u + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c - c**4 + (c**3 + 0*c**3 + c**3)*(-5*c + 4*c - 3*c) + 6*c**4 + 19*c**4 + 82*c**4 + c**4 + 2*c**2 - 2*c**2.\nAnswer: 99*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 7*a - 4. Let c(j) = j + 8. Let y be c(0). Let h be s(y). Let m be h\/(-4) + -2 + 0. Solve -w - 1 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 7 = 5*l - 9, -3*l + 4*j + 5 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 440 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 173*p**7\/42 + 155*p**3\/6 - 278*p + 2. Find the second derivative of w(s) wrt s.\nAnswer: 3460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let n be (2 + 0 + 0)\/1. Let r(x) = 2 - n + 0 + 2*x. What is -3*r(j) + 5*u(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 5*o. Let g be h(-6). Let z = g + 1. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03756398684 to five dps.\nAnswer: 0.03756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g. Let s(r) = -4*r + 6. Let n(x) = 6*x - 7. Let f(b) = 4*n(b) + 5*s(b). Determine l(f(z)).\nAnswer: -20*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -71*o + 1112 - 174. What is the smallest common multiple of o and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-9)*(-243)\/(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6*t - 11 = 0. Which is bigger: 0.057 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 0*b + 0*b + 0*b - 2*b + 4*b + (-1 + 4 - 2)*(-b - 2 + 2) + 0*b + 3*b - 4*b + 4056 + 18035*b - 4056 + 4541*b.\nAnswer: 22578*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o - 2*o + o + 7*o - 2*o. Let l(x) = 129*x. Give l(i(s)).\nAnswer: -258*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 23*v**2 - 4*v - 4. Let t be q(2). Suppose 0 = 5*p - 10, u - 2*p + p = t. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524430 greater than 524422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**6\/18 - 34*d**5\/15 + 143*d**4\/6 + 100*d**3\/9 - 799*d**2\/6 - 578*d\/3 - 2357. Suppose w(v) = 0. What is v?\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -8, -27, 0.6.\nAnswer: -27, -8, 0.6, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 219, 209, 197, 183, 167, 149?\n\"Answer: -k**2 - 7*k + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 3.3129662681\nAnswer: -2.8129662681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 360462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a**2 + 67*a**2 - 21*a**2 - 26*a**2 - 41*a in the form v*a**2 + l + r*a and give r.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-12)*1\/(-25)*-30. Suppose -7*x = -x + 12. What is the nearest to -0.1 in d, x, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 728460 divided by -19\nAnswer: -38340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 - 409*i + 815. Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 52 = -2*y - 0*y, 0 = -a + 4*y + 22. Suppose -50 = -6*w - a. Factor 4*x**4 - 4 - 2*x**4 - w*x - 6*x**3 + 12*x + 2*x**2.\nAnswer: 2*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = w - 5*t + 43 - 29, -28 = 4*w + 14*t for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c**4 + 11*c**2 + 4*c + 11. Let k(s) = 5*s**4 - 4*s**2 - s - 4. Let r(a) = 4*h(a) + 11*k(a). What is the second derivative of r(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(2451\/38)*20*21\/1736*-2.\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajfffjfjffjjfjjjjaf. What is prob of sequence faj?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 121, 37, -107, -329, -647?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-0.276.\nAnswer: 0.2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1005*l + 12. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*y**3 - 349 + y**2 - y**2 + 351.\nAnswer: 110*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783651 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 x when four letters picked without replacement from {i: 3, q: 3, x: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u - 4290 = -35*u + 22*u for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q - 39 = 271*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -10, 1, -7, -273 in decreasing order.\nAnswer: 149, 1, -7, -10, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692 + -706 + (3 + -127 - (-14 + 8)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.631 rounded to zero dps?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20011 (base 3) to base 6\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6435.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 10:17 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5810\/1245*(-1)\/((-1)\/(-3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2319*z = -108567 - 60507 - 23780 - 41365 for z.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, c: 3}. What is prob of sequence cz?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g. Let m(q) = q - 2. Let d be m(4). Suppose d*y - 17 = -5. Let h(k) = 2*k**2 - 6 + y. Determine h(c(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvocvkytk. What is prob of picking 1 o and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 3:19 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-111))\/(1\/3). Let d be -3 - -2 - 247\/(-148). Let h = d - f. Sort 0.4, h, 1 in descending order.\nAnswer: 1, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p + 4*p**2 - 3*p**2 - 70*p**3 + 16 + 69*p**3 - 7*p. Let k(m) = -15*m + 15. Let y(n) = 4*k(n) - 3*l(n). Factor y(r).\nAnswer: 3*(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 - 3*c - 3*c**2 + c. Let b(r) = r**2 + 5*r - 6. Calculate the remainder when b(-11) is divided by u(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 2, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*c - 36 = 0, -5*g + 22*c - 24*c - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -120. Let v be (-42)\/(-14) - (-428)\/(-10). Let k = l - v. Sort -3, k, -5\/4 in descending order.\nAnswer: k, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, p - 3*p + 8 = -4*t. Is p - (0 + -784 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.03575 + 0.03575. What is the fifth smallest value in 4, i, 3\/5, -0.01, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1146 or -1?\nAnswer: -1146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 67*g + 142*g + 648 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93246.\nAnswer: 2, 3, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7\/((a**(-16)\/a)\/a*a) assuming a is positive.\nAnswer: a**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -62.86. Let k = 211.86 + -210. Let r = k + m. What is the closest to r in 2\/21, 5, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15433 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 + 1112*n**2 - 440*n - 1309. Calculate l(222).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrryyxrxrx. What is prob of picking 3 x?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (20 + -5 + -18 - (6 - (2 - 0)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/15 - 2054*g**3\/15 - 38086*g**2 - 22431826*g\/15 - 180328588\/15 = 0?\nAnswer: -491, -34, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2265654 - 0?\nAnswer: -2265654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3654, 3655, 3656, 3657, 3658?\nAnswer: 3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2805 or -6?\nAnswer: -2805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 16287.\nAnswer: 32574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 9:33 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d - 2. Let u be a(-6). Suppose 20 = -5*o, -5*p + u*o = -o + 2580. Calculate the remainder when 67 is divided by 2\/(-6) - p\/30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + k - 55 = 0, 9*s + 99 = 12*s - 4*k. Suppose 4*v - 57 = -17. Calculate the remainder when s is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*1\/(-3)*(-44)\/649.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 5*s + 5*f + 21, 0 = -4*s + f - 15. Let l(i) = i + 2. Let b(t) = 6*t + 14. Let k(o) = s*b(o) + 21*l(o). Let n(a) = -2*a. Give -4*k(g) - 5*n(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4320 = -3*m + 8, -5*j + 5759 = 4*m. Let y = m + 1116. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdmdmdmddddmx. What is prob of sequence mf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2889 is divided by 107.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303103003 (base 4) to base 13.\nAnswer: 136c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -5\/6 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.5 (b) 184.213 (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 47. What is the tens digit of 9*(3\/12 + (-13)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54700.00000053034 + 54700. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356) + 1*sqrt(4356)*1 - (sqrt(4356) - -2*sqrt(4356))*-5)\/((sqrt(1029) - sqrt(1029)*2)\/(sqrt(7) + sqrt(56)\/sqrt(128))).\nAnswer: -935*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + q + 1 = -7, -3*w - 13 = 2*q. Let z = 18 - w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*p**5 - 5*p**4 + 2*p**2 + 454192*p?\nAnswer: 1980*p**3 - 60*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:26 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**2)**(12\/11))**(-19\/3)*v**(-9)\/((v*v**5)\/v)*v**(-5)\/(((((v\/(v*v*v\/v**(1\/5)))\/v)\/v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-401\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*p = 34*p - 4916016. List the prime factors of p.\nAnswer: 3, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 524658067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34567 and 97877?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23381, -46730, -70089, -93464, -116861?\nAnswer: -140286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1519 - -1515. Which is the fourth smallest value? (a) 32 (b) g (c) -0.11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1)**48)**(-4\/19))**(-4\/25) assuming w is positive.\nAnswer: w**(768\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -90*f**2 - f + 1. Let l be z(1). Let y = l - -166. Let c = 114 - y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 5, s: 2, z: 1}. What is prob of picking 2 v and 1 h?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2584469 by -95.\nAnswer: 2584469\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from xssxxsxsxssvxssxss.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 25. Let f(g) = -g**3 + 15*g**2 + 33*g + 20. Let o be f(17). Suppose -4*u = -6*u + i + 33, -o*u - 4*i = -33. Solve s = 2*d + d - u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -12 + -93 + -8 + -12 + -2 + 13.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + l + 6*l)*(l**2 + 0*l**2 + 0*l**2) - 9*l**3 + 3*l**3 + 17*l**3 to w*l + n*l**2 + o + d*l**3 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12.06754um?\nAnswer: 12067.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) + (sqrt(486) - (sqrt(486) + -1*sqrt(486))))\/sqrt(2).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 4*t**2 - t**2 + 4*t**2 - 3*t**2 + 0*t**2 + (-4 + 4 - 2*t)*(t - 4*t + t) - 1 + 21*t**2 - 17*t**2 + 0.\nAnswer: 7*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((39\/(-143))\/(-3))\/(-1*(-3)\/(-9)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3955 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 13\/4*n**2 - 9\/4*n**3 + 1\/4*n**4 - 7\/2 + 9\/4*n = 0.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20) - 16\/70?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 2. Let p be x(7). What is the highest common divisor of p and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 3*f**4 + (10*f**3 + 0*f**3 + 18*f**3)*(2*f - 3*f - f) in the form i*f**4 + d + j*f**2 + b*f**3 + x*f and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1801, 1795, 1785, 1771?\n\"Answer: -2*y**2 + 1803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6638, 6917, 7196, 7475?\nAnswer: 7754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (3 + -1 - 3). Suppose 4*o - 6*o = -10. Suppose o = -4*l - 15. Sort l, b, 5.\nAnswer: l, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 0.2476?\nAnswer: -0.004952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - ((3 - 0) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -16*w + 79. Calculate the smallest common multiple of 6 and l(-15).\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4235\/2 + 2167. Find the common denominator of l and -187\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 12*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrreeeeraerer. Give prob of picking 1 a, 1 r, and 1 e.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*((sqrt(68) - (sqrt(68) - 6*(2*sqrt(68) - sqrt(68)))) + sqrt(68) - sqrt(68)))\/(sqrt(16)\/(sqrt(4) + sqrt(16)) - sqrt(48)\/(sqrt(24)\/sqrt(2))) + 1.\nAnswer: 2 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-2\/31)\/((m*m**2)\/m*m**1) assuming m is positive.\nAnswer: m**(-275\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7541*c - 45254. Give g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 32 - 7 = -3*o, -o + 25 = 2*g. Let f be (7 + -6)*(-2)\/(-2). Solve 4*y = s + 9, -2*s - y = -g + f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5196, -5206, -5216, -5226, -5236?\n\"Answer: -10*n - 5186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981 a factor of 1425373082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2060807 (base 9) in base 2?\nAnswer: -100001101010000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18007*x**2*y**3 + 24*x**2*y**2 + 909*x*y**2 wrt y.\nAnswer: 108042*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4697, -9283, -13823, -18317?\n\"Answer: 23*q**2 - 4655*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/47450318 and 37\/11?\nAnswer: 521953498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 5*c - c + (2 - 2*c - 2)*(-2 + 2 + 2) + 0*c - c - 2*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2 + 23*u**2 - 5 - 24*u**2 + 2*u**2. Let z(f) = f - 1. Let c be z(-4). Let r(g) = 20 - 38 + 22 - 9*g**2. Give c*r(l) - 4*x(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/(282\/(-90)) + (-2 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4033 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 34 = -0*u - 3*u, 0 = -2*u + 3*r + 34. Let t be 53 + (24\/(-4) - -2). What is the highest common divisor of t and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*n, -5*z - 2*n - 22 = 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 16 = 4*d, -270*d = -267*d + 2*l + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -5521?\nAnswer: 5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47 - 0)*4\/((-28)\/(-7)). What is the greatest common divisor of y and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2*a, 2045*a - 15 = 3*s + 2047*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 48*x**4\/5 + 196821*x**3 - 3752442*x**2\/5 + 3198972*x\/5 + 738216\/5 = 0.\nAnswer: -20506, -3\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -854 - -4178. What are the prime factors of u?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 3*n - 2*n)*(n + 0*n - 4*n) + 0*n**2 + n + 3*n**2 - 5*n**2.\nAnswer: 19*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592 divided by 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -815*g**3 - 45*g**3 - 426*g - 1285*g**3 - 125*g**5 - 74*g - 88*g**4 + 2300*g**2 - 1062*g**4 = 0. Calculate g.\nAnswer: -5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 + 51718.\nAnswer: 51718.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 7, k: 1, j: 2}. Give prob of sequence jjkx.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 775\nAnswer: 13\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23593, -23644, -23739, -23884, -24085, -24348?\nAnswer: -24679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let q be (5\/15)\/((-2)\/(-30)). Suppose -i - 3*i = y + 2, -3*y + q*i + 11 = 0. Let z(o) = 65 + 8*o**y - 65. Calculate z(a(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1275)\/765*-3*(3\/1)\/12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -45\/16, 0.1?\nAnswer: -45\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3875.\nAnswer: 4\/3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + 3*z**3 + 9*z**2 - 7*z**2 - 25 + 25 as n*z**3 + d*z**4 + w*z**2 + f*z + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2429.9563 and -0.24.\nAnswer: 2429.7163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.5, 54, 5, 10, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 8*q**2 - 22*q**2 + 8*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119595*a**2 + 6*a**3 + 2*a + 119595*a**2.\nAnswer: 6*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 29 = -25. Let j(i) = 5*i + 6*i + 17 - 20 + i**s - 12 - 9*i**2. What are the prime factors of j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -32. Let t(h) be the second derivative of -1\/3*h**4 + 0*h**3 + d*h**2 + 0 - h - 3\/20*h**5. What is the third derivative of t(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 85.000264. What is l rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*j*k**3*z**2 + 1837*j*k**3 - 2004*j*k**2 - j*k*z**2 - 25*j*k - j wrt k.\nAnswer: 600*j*z**2 + 11022*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3 - 6*i + i**2 + 4*i**2 - 1. Let n(a) be the second derivative of 0 - 2*a**2 - 17*a - 11\/12*a**4 + 11\/6*a**3. Determine 7*b(p) + 4*n(p).\nAnswer: -2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 4*d - 5. Let v = 10 - 4. Let z be q(v). Suppose 9 = 2*s + 4*u - z, -4*s = 5*u - 26. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 5*j - 39. Let x = -287 + 297. What is the remainder when d(x) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/3)*b**(-8\/3)\/b)**(-5))**1 assuming b is positive.\nAnswer: b**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/27 and 127\/2920?\nAnswer: 78840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157779 divided by -47.\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, 8, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = 2*d - 4*d. Suppose -8*g - 6 + d = 0. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -33.39572?\nAnswer: 38.39572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*j + 2*c + 13, 0 = -4*j + 4*c + 12. Suppose 0 = -4*z - u + 7, 5*u + 1 = -j. Is z*9\/6 - -94 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 + 176. Suppose 0 = -5*d - 1 + 11. Find the second derivative of 2*p**2 + i*p - 20*p + 0*p**d wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/7 + 463*l\/7 + 1836\/7.\nAnswer: (l + 4)*(l + 459)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 243575*d**2. Let w(u) = -2*u**2. Give w(h(v)).\nAnswer: -118657561250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-4 - (-345)\/87*1). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 + -1)) + -27 + 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17) + -5)*-6*2.\nAnswer: 12*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l**3 + 37*l**2 - 13*l - 33. Let h(a) = 11*a**3 - 19*a**2 + 7*a + 17. Let x(p) = 11*h(p) + 6*w(p). Calculate x(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -479\/6. Let w(q) be the third derivative of 0*q**4 + 1\/30*q**5 + 0*q + 2*q**2 - f*q**3 + 0. Differentiate w(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-3 - 2*w + 3) - 2*w - 3*w - 5 + 3*w.\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 17, 32, 47, 62, 77?\n\"Answer: 15*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71334 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22509\/(-244) - -86)*(-4)\/(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p - 1. What is d(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40648 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16355350142.4 + -0.3.\nAnswer: -16355350142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (-2*sqrt(1053) + -5)**2 - (-1*(sqrt(13) - sqrt(52)\/sqrt(4)) + sqrt(13) + sqrt(13)*2 + -2 + sqrt(13))**2).\nAnswer: -12084 - 588*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 6:14 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -142 and 8477886044.\nAnswer: 8477885902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-4)\/(2*-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3550 divided by 71\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13468 divided by -3367\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54348 + 269713\/5. Is -404 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203957\/81 + -2518. Which is the smallest value? (a) -0.3 (b) z (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 782600830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 31*g**8\/336 + 5*g**4\/12 + 16*g**2. What is the second derivative of k(j) wrt j?\nAnswer: 620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 0*c - 3*c + c - c - c**4 to the form v*c**3 + r*c + x + k*c**2 + j*c**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - 5*o**4)*(-51 + o - 33 + 27 - 81).\nAnswer: -5*o**5 + 690*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -9*x + 183. Calculate the lowest common multiple of x and (231\/28)\/11*64.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 52)\/(2 + -1). Let h = -33 + x. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 6*p. Let x(r) = -8*r**2 + 17*r. Let q(d) = 6*x(d) + 17*z(d). Let w(t) be the third derivative of t**4\/24 - 20*t**2. Give q(w(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5651 + 7834. Does 97 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*y - 1968 = -141*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5744*j - 1584 = -5816*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/112 + a**5\/30 - a**2. Find the third derivative of l(d) wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e99 - 3?\nAnswer: e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 574.4226 years?\nAnswer: 57.44226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-82)\/(-14) + 6)*-1. Which is greater: i or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217920 and 8160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 17*o**5\/6 - o**4\/24 - 31*o**3\/2 + o**2 + 99. What is the second derivative of p(t) wrt t?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31160.091 rounded to the nearest 100?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t**2 + 4*t - 3. Let h(l) = -31*l**2 + 7*l - 5. Let p(u) = 3*h(u) - 5*s(u). Determine p(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2009*u - 2008*u + 4018*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2089+0.06\nAnswer: -0.1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 2, 50, -740, -10 in ascending order.\nAnswer: -740, -10, 0, 2, 9, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 25*d = 78. Sort -2, -5, 5, d in descending order.\nAnswer: 5, -2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1825309144 to the nearest integer?\nAnswer: 42724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 16*b**2 - 3*b**2)*((b + 3*b + 0*b)*(3*b + 2*b - 4*b) + 0*b**2 - b**2 + 0*b**2).\nAnswer: 21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21 = -7. Let p be (-22)\/77 - (-2)\/o. Solve 5*s + 1 = 2*q + 10, p = 4*s - q - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*j*p + 58820*j + 20800677*p wrt j.\nAnswer: 21*p + 58820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 2. Let b be m(-2). Suppose 8*a - b*a = 84. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 43*i**6\/720 + i**5\/120 + 53*i**4\/12 - 98*i**2. Let g(f) be the second derivative of q(f). What is g(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 3. Suppose 5*a = 7*a - 6. Let d(z) = -a + 6 - 2. Let w(j) = j**2 - 3*j. Let i be w(2). Calculate i*d(b) + r(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721249 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, t: 3, x: 4}. Give prob of sequence xtth.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*p**2 - 8*p*y**2 + 380*y**2 wrt p?\nAnswer: 14*p - 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133.1 + 133. Which is the nearest to 2\/5? (a) w (b) -1\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(45) - (sqrt(45) + sqrt(405) + sqrt(405)*1))\/(sqrt(81)*2 + sqrt(81)) + (-3 + sqrt(35)\/sqrt(7) - 2*sqrt(500))).\nAnswer: -59*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366 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 114*y + 36 = 123*y. Solve 3 = o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 4. Let m be r(-3). Let g(l) = l + 1. Let x(p) be the second derivative of 133*p + 7\/2*p**2 + p**3 + 0. Calculate m*x(j) - 5*g(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -5*c - 4*z + 3, -4*c + 1708*z = 1710*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182167\/117 + 20248\/13. Find f, given that -2\/3*f + 0 + h*f**3 + 13\/9*f**2 = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 840 - 77*w**2 + 82*w**2 + 51*w**2 + 2*w + 53*w**2 wrt w?\nAnswer: 218*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(176))**2 - (sqrt(77)*2)\/sqrt(7) - (sqrt(275) + 1 + sqrt(22)\/sqrt(128))**2.\nAnswer: -49*sqrt(11)\/4 + 386949\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b**4 + 15*b**4 + b**3 + 14*b**2 + 45*b**2 - 2 in the form d*b + j + x*b**4 + z*b**2 + h*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11 - 10 - 420*z + 2 - 10 + 12. Let w be s(-1). What is the highest common factor of 31 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:07 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26071 + 79842. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-2) - 0\/1. Let t(u) = u**3 - 9*u**2 - u + 13. Let q be t(l). Let n = -0.11 + -3.89. What is the smallest value in -0.1, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*i + 3*c, -4*c - c = -i - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*r - 6*b + 160, -5*r - 205 = 5*b. Let f be r\/45*15\/(-2). Solve -4*d - 3*p = -5, -3*p = 2*d - f*p + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -155*k + 85. Let v(x) = 11*x - 6. What is 6*a(n) + 85*v(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -652 - -668. Suppose i*k - 4*k = 720. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.7677 weeks to milliseconds.\nAnswer: 32518704960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10926 + 54632\/5. Let m = -28 - -27.71. Let y = 0.01 - m. What is the closest to x in -2, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6885738656 to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -199885.103 rounded to the nearest 10?\nAnswer: -199890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - f + 15, -7*t + f + 17 = -3*t. Suppose -1090 - 233 = -3*s. Suppose s - 117 = t*u. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 73*w + 28*w to the form z*w + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1454, 1443, 1432?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g - 170 = -49*g + 31*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 36*v**2 + 108*v - 108 = 0. Calculate v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 8*g - 10. Calculate the smallest common multiple of g and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2560306 + 10958306. Round p to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*m**3 - 56*m**3 + 244*m**2 - 245*m**2 - 104 in the form f*m + d*m**3 + c*m**2 + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x. Suppose x = -t + f + 3, 2*t + 2*t - 5*f = 13. Let g = -113 - -116. Solve 5*s + t*b = 8, -2*s + 2*b + 12 = g*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -83. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/(1\/7). Suppose -2*j - 2*z = -34, -4*j = 3*z - y*z - 92. Suppose a + 2*a = t + 8, -5*t = -5*a + j. Solve -4*m - 4 = g - 2, g + a = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 903507.3 rounded to the nearest 100?\nAnswer: 903500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.01, -15, -5\/6 in descending order.\nAnswer: 1, 0.01, -5\/6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -69911762 take away 21961?\nAnswer: -69933723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.207 (b) -5 (c) -0.4 (d) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 7. Let y(a) = 2*a**2 + 6. What is -5*b(u) + 6*y(u)?\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 37*b - 93. Calculate o(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -773\/2104 + -2\/263. Let j = 241\/1180 - 1\/236. Which is the nearest to j? (a) -0.5 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29795 greater than -29570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (0 + 2) - -1) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9095627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4563816 and 1.\nAnswer: -4563815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453553 is divided by 761.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 + 14 = 0. Let f = -22 + 35. What is the remainder when 210\/9 - m\/(-15) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**3*t + 4*r**3*x - r**2*t*v*x - r**2*v - 10*t*v*x + 104*v*x wrt t.\nAnswer: -5*r**3 - r**2*v*x - 10*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 18. Let l be c(0). Let y = 52 - 46. Let w = l - y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*z + 2520 = -23*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1755 + 1761. Solve 5*k + 4*a - 32 = 0, -4*k - s*a + 31 = -a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 4)*(7 + 1 - 4)*(-2*f**4 - 3*f**4 + f**4) in the form g + t*f**4 + q*f + h*f**2 + b*f**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495222 is divided by 4374?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1 - 0\/(-2))*(-11 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69, -67, -31, 57, 215?\n\"Answer: 3*t**3 - t**2 - 16*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -1\/11 (b) 2\/5 (c) -0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/10 and -1\/112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alb when three letters picked without replacement from paltblp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139.999591 + -140. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 3*i**2 + 45*i + 14. Let m be (-12)\/(64\/48 + (-2)\/6). Is 14 a factor of u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7634, 60888, 205438, 486932, 951018, 1643344, 2609558, 3895308?\nAnswer: 5546242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 18 = -3*h - 3*w, 0 = -3*h - 4*w + 19. Suppose 20 = 3*a + h. What is the highest common divisor of 35 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48*((-92)\/(-8) + -5). What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuduud. Give prob of sequence ddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = p. Let i(b) = b**2 - 4*b. Let l be i(p). Let f be (-9)\/3 - (-2 + 1). Sort 2, l, f.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - 5*r)*(-10 + 1 - 3*r - 10).\nAnswer: 6*r**2 + 38*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 9*d + 5. Let b be q(7). Let f = -7 - b. Suppose 5*w - g = g + 62, 0 = f*w - 3*g - 16. Calculate the remainder when 27 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2242851749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**5 + 49*t**4 + 1280*t**3 - 325*t**2 - 1. Let q(l) = -l**5 - 8*l**3 - 1. Let i(a) = b(a) - q(a). Solve i(z) = 0 for z.\nAnswer: -13, 0, 1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007903 rounded to seven decimal places?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 7, j: 4, n: 5, a: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53293438 at most 53293438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50015 minus -4?\nAnswer: 50019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 477025 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222243345 - 1?\nAnswer: 222243344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 196010 a multiple of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*h + 2*h + 3*k, h - k = -3. Suppose h*q - 49 - 57 = 0. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*c + 3*z, -c - 2*z - 5 = -6*z. Let h be 40\/15*c\/(-2). Calculate the greatest common factor of 8 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1071 divided by -983\nAnswer: -1071\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-80)\/(-14))\/(-2)*21\/(-6). Suppose 6*w = -u - 2. Let l(v) = 0*v**2 - 3*v - 3*v**2 - 2 + 4*v**2. Determine l(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32712116 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -7751\nAnswer: 10\/7751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4 = -2*p + i, i = -p - 4. Let m be p + 24\/(-1 - -3). Calculate the greatest common factor of m and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 576625*r + 120870750.\nAnswer: 5*(r - 115115)*(r - 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 32 = -4*k, 0*i - 4*i + 1 = -5*k. Differentiate k + 7 - 5*z**2 + 6*z**2 + 4*z**2 wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2*f. Let r(k) = 2*k**2 - 5*k + 1. Let q(s) = -7*g(s) + 3*r(s). Determine q(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 420.3055 + 138.\nAnswer: 558.3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 26*g**3 - 2 + g**2 + 4 - 29*g**3 to p*g**4 + o*g**3 + t*g + c*g**2 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 110*l**2 - 153*l - 4790. Give z(-109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27299, -54577, -81855, -109133, -136411, -163689?\n\"Answer: -27278*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 304 and -4.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 0, -d - 2 = 2*v + 3. Let m = 636 + -633. What is the third smallest value in -0.2, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 20 - 80. Let x = 28 + a. Suppose 0 = -4*l - l, -3*w + 3*l = -24. Calculate the lowest common multiple of x and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekjy when four letters picked without replacement from {q: 1, j: 1, k: 1, y: 1, e: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*l + 95 = -658*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 + -289. Let p be (1 - -5) + -1 + 5 + m. Sort -11, -2, p in increasing order.\nAnswer: -11, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -18, 3*q + 32 - 55 = -z - 34 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.029 - -0.029. Let s = m - -20.966. What is s rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/7 of a week in minutes?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-236)\/(-5)*(-15)\/(-6) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/17 (b) -1280 (c) -39 (d) 0 (e) -4 (f) 5 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7*l - 4*p + 12 = 0, 16 = 4*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 17 = -10*l - 5*o, 4*o = 2*l + 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x + 5*a + 225, -4*x + 198 = 2*a. Let y be 2\/(-3) - x\/(-18). Suppose 0 = -2*q - 2*n - 2, 0*q + 3*q - 2 = -y*n. Solve 0 = -q*z + 4 - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8318184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minus -2760?\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 386\nAnswer: -5018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.85 - -0.85. Let l = 33 + j. Let x = -19.93 + 20.1. Which is the closest to x? (a) l (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(sqrt(1620) - -4*(sqrt(1620) + 4) - (-3 + 4*sqrt(1620)))*4)**2.\nAnswer: 10944*sqrt(5) + 31691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139\/117 - -14\/13. Let d = -512 + 4603\/9. Let i = s + d. What is the third smallest value in -5, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 149 and 0.01?\nAnswer: 148.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8)**(-27\/7)*f**22\/f**18)**(-45) assuming f is positive.\nAnswer: f**(8460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-228)\/(-3))\/(2 + 0). Let b = l + -44. Let q(t) = t + 14. Calculate q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -185\/4328352 and 4\/339.\nAnswer: 4328352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.93 - 0.93. Let y(r) = -5*r + 1. Let v be y(-1). Let n be 3*(0 + v\/(-63)). Put -0.1, n, b in descending order.\nAnswer: b, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 0, -3*w - f - f + 6 = 0. Suppose -190 = -4*p - 2*l, 4*p - l - 287 = -82. Suppose -w*b - 30 = p. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1\/15, -5\/6, -0.197?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 414\/407 - 68809\/48840. Let x = 7\/24 + o. Let y be (3 + -5)\/(-2 - 0). Are x and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-10))\/(3\/(-5)). Suppose -3*f - s*p = -6, 5*f = -3*p + 11 - 0. Let w be -3 - (1 + (1 - 7)). Solve w - f = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -46. Let q(k) = -3*k**2 + 3*k + 40. Let y(p) = -p**2 + p + 13. Let a(m) = -6*q(m) + 17*y(m). Is a(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*v - 3*v + 31, -3*v + 72 = -2*c. Let p be 6\/2*56\/(-12). Let a = p + 16. What is the greatest common factor of a and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:13 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27695066, 27695068, 27695072, 27695078, 27695086, 27695096, 27695108?\n\"Answer: b**2 - b + 27695066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-468) - 16\/(-234).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1690 and -103\/27076166.\nAnswer: 135380830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93651 - 325*l**2 - 46824 - 46827 to the form o*l**2 + s*l + n and give o.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -647238, -1294474, -1941708, -2588940, -3236170?\n\"Answer: j**2 - 647239*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663529.\nAnswer: 663529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993020.6l to millilitres.\nAnswer: 993020600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74298628.\nAnswer: 2, 18574657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/88 and 71\/1840?\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.1, 7, -4, -177.628 in increasing order.\nAnswer: -177.628, -4, -0.1, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {s: 8, k: 2, q: 1, e: 3, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 1305\/(-162))\/(1\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 150. Let q = -47 + h. Solve q = -5*l + a, 3*a - 8 = 2*l + a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) 0.3 (c) 4\/3 (d) 467.352 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/25*6\/(-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1470*o + 268858. Determine s(-183).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36863, 147486, 331859, 589982, 921855, 1327478, 1806851?\n\"Answer: 36875*k**2 - 2*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let t = 0 + m. Suppose 0 = -4*r - 5*s + 36, 3 + 9 = t*r + s. Solve -5*b + 3*v = -37, -2*v + 15 = r*b + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6064662 days?\nAnswer: 52398679.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11588840 divided by 13.\nAnswer: -11588840\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79*f**2 - 1652*f - 78*f**2 + 235*f**2 - 57*f**2 + 29*f**2 - 96.\nAnswer: 4*(f - 8)*(52*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 80*v**2 - 2*v + 13. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -45. Solve -2*r - 2 = d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-6))\/(10\/4). Let g = 2.267 + 0.033. Let j = 0.3 - g. What is the closest to 0 in n, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1628.40629 + 1628.8. Round m to three dps.\nAnswer: 0.394","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 495854*x**2. Let f(l) = 4*l. Calculate q(f(p)).\nAnswer: 7933664*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -84\/67266175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 93*-4*1\/(-12). Suppose -26*n - 815 = -j*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*g + 6 = 0, -3*h - g = 3*g - 4. Suppose -3*o - 10 = -h*o. Let j(c) = c**3 - o - c + 3*c**2 + 3*c - 5*c. Give j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*u + 288*u + 496*u = 14145 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 16*m - 34. Let h be a(-8). Suppose 0*t + t - 3*z - 24 = 0, 3*z - 36 = -3*t. Calculate the greatest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -97. Calculate the common denominator of (-9)\/((-180)\/m) - -2 and -97\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169.0000572 - 169. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59644 and 856964?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/46547 or 0?\nAnswer: 8\/46547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 + 5 = 0, 0 = t + m - 35. What is the units digit of 42\/t - 4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1039 = 4*c, 3*w + 2*c + 213 = -406. Let b be (w\/(-2 + 5))\/(-1). Let f = b + -115. Is f less than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.134 - -0.2.\nAnswer: -19.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4109 - -49273\/12. What is the common denominator of 109\/10 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28274*o**5 - 47082*o wrt o.\nAnswer: -565480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/134 and 85\/536?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448\/5 + 89. Which is the closest to 0.1? (a) 5 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 65 = -46*j + 5*l, 170*j - 3*l - 897 = -86*j - 91*j + 889 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 5636*k**2 + 89984*k + 359680.\nAnswer: (k + 8)**2*(k + 5620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347761.618 rounded to the nearest ten thousand?\nAnswer: 2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 151 = -2*b + m, -3*b + m + 225 = 0. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3304\/3 - 33023\/30. Let u be (6\/27)\/((-4)\/(-3)). Let a = u - z. What is the third smallest value in 1\/2, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - 75 - (-2 - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(-27 - 1). Let c be 0 - (8*1 - 0). Let v = c + w. Let s(y) = -6*y**2 - 7*y - 5. Let g(n) = 5*n**2 + 6*n + 4. What is v*s(l) + 7*g(l)?\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 68.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -81 - -1 - (0 + 3). Let u = s - -200. Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24615*d**2 + 44172*d**2 - 26269*d**2 - 6139*d wrt d.\nAnswer: -13424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 560*f**4 - 120?\nAnswer: 2240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/150 - 29*o**5\/25 - 44*o**4\/15 - 102*o**2 + 12. Suppose f(i) = 0. Calculate i.\nAnswer: -1, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 1\/7, 5113?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-20925)*27\/9*1?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -666404 in decreasing order.\nAnswer: 4, -3, -666404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. Let o = 21 + -8. Let p = o + -8. Put r, p, 3 in descending order.\nAnswer: p, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -7*f**5\/60 - 7*f**4\/12 + 48*f**2. Find the second derivative of k(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from xytxxxgsxxxxygyxyxg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**2 - 2*h**2 + h**2 + 3*h - 1. Let g be c(2). Suppose q + 0*o = -o + 12, 5*q - g = 4*o. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let d(j) = -j**2 - 22*j + 3. Let f be d(-20). Suppose 0 = 17*i - f*i + 5720. Does 44 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 13*s + 2. Let h be i(15). Suppose h = -6*v + 10*v. What is the remainder when 9 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-30)*(-1)\/(8\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-3)\/2))\/((-3)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53163107087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7113 - 3972 = -3*w, 5*l - 3*w = 11085. Suppose 15917 = d + l. Round d to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -4. Let n be (-330)\/(-8) - i\/(-12). Suppose s + s + 4*y = 44, 2*s = -3*y + n. What is the highest common divisor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8463177 is divided by 23975.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 9*y + 1. Let d be 1\/((-3)\/(-48)*4). Suppose d*j = 17 + 15. Let v be m(j). Calculate the greatest common factor of v and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*p = -13, t = -2*t - 2*p + 18. Suppose t*b - 4 = 2*b. Suppose q - 18 = -3*l, -b*q + 16 = -q + 5*l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 8. Let r be g(-3). Let d(q) = q**2 + 2*q + 1. Determine d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/5 + 251\/30. Let h be ((-4)\/(-66))\/((-2)\/(-6)). Which is the third biggest value? (a) x (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 2*n**2. Suppose k + 1 = 3. Let s(o) = -o**2. Suppose 7*x + 7 = -0. What is k*s(b) + x*g(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 3 = 0. Let t(k) = -k**3 + k**2 - 2*k + 3*k + 38 + 2*k**c. Is t(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 + m - 17. Determine j(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20840 and 582478?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5105929 is divided by 1819.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61 + 3?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 12:05 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 20, 6*q - 2*q = -4*g. Suppose -20 + q = -j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2436 and 522.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + 134. Does 43 divide w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3514 and 9876.\nAnswer: 17352132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8362, 33431, 75214, 133711, 208922, 300847?\nAnswer: 409486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 3*k**4 + 0*k**4)*(2*k - 2*k + 3*k - 6)*(-1 + 0 - 1).\nAnswer: -12*k**5 + 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*z + 177*z = -b - 9, -14 = -6*b + 5*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42075529?\nAnswer: 157, 263, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269802 or 269788?\nAnswer: 269802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200102111 + -1?\nAnswer: 2200102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-2) + 5)*2. Let w be y\/35*3270\/(-18). Let u = 61\/3 + w. What is the smallest value in u, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 2*u = 4*z + 63, -2*z + u = -18. Suppose 13 + 53 = 2*t. What is the highest common divisor of z and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/5 - 4517*d**3\/5 - 5124273*d**2\/5 - 49969287*d\/5 + 6608963718\/5 = 0.\nAnswer: -2253, -42, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6424 - -360.0916. Let x = z - 366.33397. Let p = 2.6 + x. What is p rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/3 + (-18)\/(-54). Suppose -v = 6*o - 42. What is the least common multiple of o and 261?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - r**3 - 8*r - r**3 - 7*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 14. What are the prime factors of t(6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*d - 31 = 0, 0 = 2*c - d + 412 - 429 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + -196. Let l = -88 - o. Solve 3*x + 2*f = 3*f + 8, 5*x + 3*f + l = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 15. Suppose 0 = 17*g - 19*g + p. Suppose -1 + g = y. Let r(d) = -6*d**3 + 2*d**2 - 2*d + 1. Calculate r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 6. Suppose u - p + 0*p = 2, -3*u - 3*p + l = 0. Factor 2 + 3*t + 0*t**2 + 2*t**2 - t**u.\nAnswer: (t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591371 + -2.08.\nAnswer: -591373.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(19\/2)))\/w*w\/w**(-2\/33) assuming w is positive.\nAnswer: w**(-623\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -18?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00465 rounded to 4 decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -10*q + 6*q. Let w(x) = -x**2 + 12*x - 1 - 6 + 3*x - 7*x. Let v be w(6). Calculate the highest common factor of q and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 171, 176, 183, 192, 203, 216?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 54234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36755303.2014597 - 0.3\nAnswer: 36755302.9014597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 820, 821, 822?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose 5*m - 15 = -z + 3*z, -3*m - 4*z + 35 = 0. What is the nearest to s in m, -5, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -2, -3, 31, -6, -8 in ascending order.\nAnswer: -10, -8, -6, -5, -3, -2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*b - 25, 2*p + 20 = 7*p + 4*b. Which is bigger: p or 4\/919?\nAnswer: 4\/919","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 941899484?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2. Let a(w) = -77*w**2 - 117*w - 4. Give a(d(c)).\nAnswer: -693*c**4 - 351*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -159. Suppose s*h = 9*h - 8. Suppose -44 = -5*t + t. Solve -h*o + 2*y + 33 = 3*o, -o - 4*y - t = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9827 + 17742. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 254, 996, 2460, 4880, 8490, 13524?\nAnswer: 20216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -456 divided by -228\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + 5) - (2 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-3 - -5 - -1247) + 6. Let x = -5041\/4 + u. Solve x*p - 1\/8*p**2 - 1 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4125086?\nAnswer: 2, 7, 294649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19578532.\nAnswer: 2, 4894633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (-8)\/((-8)\/9) + 303?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 16 (b) 214 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -1\/3, -6524, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*i = 2 + 39, -64 = -2*s + 2*i. Suppose o + s = 33, -11 = -3*y + 4*o. What is the closest to -15 in y, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9542.489 years?\nAnswer: 954.2489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 5, m: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45776148 and 5736.\nAnswer: 91552296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113454.\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73048 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let z(c) = -398*c**2. What is z(o(y))?\nAnswer: -398*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - x**4 + x**3 + 16*x**4 - x**4 + 19*x**4 - x**4 + 2 - 2 + (x**3 - x**3 + x**4)*(-2 - 1 + 1) + 2*x**4 + 1 - 1 + 3*x**4 - 3*x**4 + 2*x**4.\nAnswer: 34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + sqrt(2592)*-3 + sqrt(2592))**2)*-2.\nAnswer: -20764 + 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1072 and -95\/1072?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16902 + 16904. Do b and 12\/107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146360.64 times 44\nAnswer: -6439868.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 - 256*g**3 + 344.\nAnswer: -256*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)\/q**(-13)*(q*q**(2\/15))**(-2\/19) assuming q is positive.\nAnswer: q**(3671\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -81*i**2 + 2*i + 4. Let s be o(3). Let u = s + 1022. What are the prime factors of u?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 518*l + 48. Let t(u) = 108*u + 10. Let r(c) = 5*h(c) - 24*t(c). Let a(q) = 661*q. Calculate a(r(z)).\nAnswer: -1322*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100021 - 66546. List the prime factors of i.\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = -2. Let i(o) = o + 2. Let w be i(s). Let p(t) = -236*t - 2354. Let c be p(-10). Put w, 5, c in increasing order.\nAnswer: w, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = i - 144, -4*p + 3*i + 455 = -121. Let x = 377 - p. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 5. Let o(w) = 3*w**2 - 9*w + 41. Let v(x) = x**2 - 2*x + 10. Suppose 198 = 2*l + 9*l. Let f(h) = l*v(h) - 4*o(h). Give -10*b(u) + 3*f(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 91796?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + u + 2. Let p be r(-1). Suppose p = 4*z - 20, -3*g + 2*z = -0*z - 8. Solve -5 = -t + g*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4703431.21 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 1. Suppose -261 - 107 = -8*g. Calculate the remainder when g is divided by i(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.39357840344 and -412.\nAnswer: -412.39357840344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*w**4 + 3\/4*w**2 - 5\/2*w + 0 + 3\/2*w**3 = 0. What is w?\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*(1 + 2). Let j(d) = 12*d**2 - 4*d**2 - 2*d - 5*d**2 + 1 - 4*d**2. Determine j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 886 + -886. What is the third smallest value in q, 2.3, -9?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u**2 - 2024*u**2 - 652*u**3 - 78 - 580 - 1972*u + 2*u**4 = 0.\nAnswer: -1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o = 648*o + 504*o + 11170 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38341 years in millennia?\nAnswer: 0.00038341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1 - 4) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-22) + (-540)\/(-297). Solve -r*o = -1 - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.91 - -0.09. Let f be (((-800)\/15)\/10)\/((-1)\/84). Let m = -459 + f. What is the smallest value in q, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44754, -44737, -44678, -44559, -44362, -44069?\n\"Answer: 3*p**3 + 3*p**2 - 13*p - 44747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose -5*t - o*i = -8*i + 4, 4*t + 3*i - 3 = 0. Solve t*u = u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/27 - -18 - (1 - -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + 1 - (-1 + sqrt(75))*-4)**2.\nAnswer: -216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 433*l - 128985 - 161991. What is the greatest common divisor of l and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21230 (base 7) to base 15\nAnswer: 185e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-3)\/(-210)*(-10)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 - 11935*q**3 - 6561840*q**2 + 680937140*q - 674363360 = 0.\nAnswer: -1238, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8 (b) 21 (c) 1199 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 2*t**2 + 26 + 3 + 33*t**2 - 31.\nAnswer: 29*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2. Let w(f) be the first derivative of f**2 + 3. Calculate w(n(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-88)*(486\/36 + -19).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 19. Let f(u) = u**2 - 2*u + 39. Calculate 2*f(c) - 5*r(c).\nAnswer: 2*c**2 + c - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 16*s + 19. Let g be a(-15). Suppose -g*i + 550 = i. Suppose 0 = -5*r - 5*y + i, -13 - 24 = -r + 4*y. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*q + 16, 2*q + 2 = -3*c - 0. Let k(s) = -s**2 + 5*s - 4. Let d be k(4). Suppose d = r - 0*r + 1. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/20 + p**4\/4 - 2*p**3\/3 - p**2 + 42*p. Let f be l(-4). What is the third biggest value in -1\/9, 1\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q + 3. Let t(m) = 27*m - 8. What is 11*r(v) + 4*t(v)?\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*m**4 + 44*m**4 + 11*m**5 + (-2*m + 3*m + 2*m)*(m**4 - m**4 + 2*m**4).\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 515*d - 32651. What is k(-73)?\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5*d)*(4 - 3 + 0)*(1 - 1 - d + (0 + 1 + 1)*(2*d + 0 + 0)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1872) - -1*sqrt(1872))*3 + sqrt(1872))**2 + 5 - 2*((sqrt(1872) + -3)**2*-5 + 5).\nAnswer: -164651 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 112*q + 1569. Calculate z(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/9)*(a*a**(-23))\/a*a**(2\/63)\/(a**(-1\/22)*a*a))**(4\/13) assuming a is positive.\nAnswer: a**(-22618\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w = 86*w - 40. Solve -n - 17 = -w*a, -5*a + 29 = -4*n - 2*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(245) + (sqrt(245)*2)**2 - sqrt(5) - (-1*sqrt(20)\/sqrt(4))**2) + 3 - (sqrt(4455)*-1 - sqrt(55))\/(sqrt(66)\/(sqrt(6)*2))).\nAnswer: -5868 - 156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd4 - 2655a?\nAnswer: -27350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3003 and 1911.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -21 (c) -6\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/2)\/(13 + (-70650)\/5436) is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 941486?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/6*(900\/40 + -21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -22415?\nAnswer: 22420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1145 - 1b?\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 49*a**2 + 49*a**2 - 100*a**2. Let z(v) = -2*v**2 - 2*v**2 + 11*v**2. Calculate z(l(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*i + 6, 5*i + 0 = 2*h - 9. What is the least common multiple of 10 and (42\/(-9) - 2)*h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 335660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1.4352985?\nAnswer: 0.14352985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 10 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/4 + -1. Let m = 107.8 + 341.2. Let z = 438 - m. Which is greater: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - 39a564?\nAnswer: -39a535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and -75\/190688.\nAnswer: 572064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -10017775\/2 and -5008889 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/3 - (-496)\/48 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 + 480*k + 1404 = 0.\nAnswer: -117, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c - 11*c**2 + 28*c**2 - 10*c + 33*c**2 to the form w*c + v*c**2 + r and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 360 + -359.9. Which is the closest to z? (a) 0.2 (b) 0.5 (c) 2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllozjllllzllzlzzz. Give prob of picking 4 z.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192688 is divided by 503.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 840727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -90729.8 rounded to the nearest one hundred?\nAnswer: -90700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1163 + -1239\/44194. Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 2*z**2 - 18*z - 12. Let l be s(-6). Let g = 146\/3 + l. Which is the third biggest value? (a) g (b) 0.13 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -73. Let n(l) be the second derivative of 2*l**3 + l**2\/2 + 2*l. Calculate n(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*a. Let j = a - -5. Suppose 3*w = -5*r + 13 - 1, -w + 8 = j*r. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*x = -14, 0 = o + 4*o - 5*x + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.1 (b) -1\/7 (c) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 8*x + 5. Let p be j(4). Let z be (-5)\/(5\/2) - -11. Let v = p - z. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -43*s - 1027. What is n(-23)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 17*k - 9, 0 = -5*r + 5*k + 22555. Calculate the greatest common factor of r and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -h - 62, 5*f + 4*h - 72 = -5. Let w(a) = -a**2 + 22*a + 176. Let z be w(19). Let o = -209 + z. Solve -m = 3*p + 2*p - f, 2*p + 4*m = o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2. Let h(w) be the first derivative of -w**3\/3 - 4. Calculate h(j(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27 + (-2 - -7))*(-5)\/10. Suppose -16 = -l - 4*a + r, 5*a - 25 = 0. Calculate the greatest common factor of l and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 - 5*y**3\/3 + y**2 + 5*y - 12. Suppose -3*z = 3*d + 4 - 22, 5*z = 2*d + 16. Calculate i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 13*b - 27. Let n be p(-8). Let a be 12\/(-7)*(-70)\/4. Calculate the remainder when (3 - a)\/n - 1 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94359*n**3 + 188724*n**2 - 94371*n + 6.\nAnswer: -3*(n - 1)**2*(31453*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275 - -565. Let y be 112\/504 - (g\/9 - 1). Let l = -35 - y. Sort l, 2, 5 in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + n**3 - 10*n + 15 + 14*n - 2*n**2. Let q be u(5). Let t be (6\/9)\/(2\/3). Sort 3, t, q in decreasing order.\nAnswer: q, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + k - 5592, 9*p + 5*k = 7*p + 2814. List the prime factors of p.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k. Let o(w) = -13*w + 4. Let t(m) = -3*m + 1. Let a(d) = 2*o(d) - 9*t(d). Let p(u) = 5*a(u) - b(u). Let s(c) = c + 9. What is -5*p(l) - 3*s(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5040 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 57. Let x = j - -26. What is the smallest common multiple of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 1232 = 138*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 18 = -0*t - 2*w, -3*w = t - 8. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 7*c**2 - 6*c + 6. Let g be y(-6). Let v = 5 - g. What is the nearest to v in 0.5, -3, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-188))\/(6\/4). Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 24 = -5*d + d, 2*d + 2*z = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 908460110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-25)\/5*(-33)\/550)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggugggqgggg. What is prob of picking 2 g?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100604 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399755 divided by -5?\nAnswer: -79951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*d, s - 2*d + 4*d = 8. Suppose -6 = -s*k + 2*k. What is the remainder when 13 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -2\/9 (b) -0.2 (c) -7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -1. Let q = -21 + p. Is 5\/1*(5 - q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150428 to the power of 1\/2, to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1191145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*m - 8, 0*m - 5*m = -b + 9. Suppose w + b*w = 210. Is w less than or equal to 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) + (sqrt(68) + sqrt(68)*-1*-3 - sqrt(68)))) + sqrt(68))*3)\/(2*sqrt(64)*1).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.375542*45\nAnswer: -61.89939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -501, 141727, -4 in descending order.\nAnswer: 141727, -4, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 177724680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.57 and -17126.088.\nAnswer: -17128.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30125, -30099, -30055, -29993, -29913, -29815?\n\"Answer: 9*j**2 - j - 30133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 + 4 + 13 - 17.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -414 in descending order.\nAnswer: 5, 1, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**3 - 2*u**2 - 6*u - 6. Calculate the remainder when 182 is divided by g(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*r + 8*r = -16, -2*r = 8. Which is the biggest value? (a) 0.2 (b) -2 (c) 6\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 80 + 31 + 49.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -272 - 274 + 553 + 6*x. Let w(g) = -g + 1. Calculate -m(f) - 4*w(f).\nAnswer: -2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*t + 1 = 4*d + 177*t - 29, 0 = -3*t - 15 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9549 rounded to 2 decimal places?\nAnswer: 8.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, 16.\nAnswer: -2, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156102215?\nAnswer: 5, 29, 37123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p. Let j(z) = z**3 - z**2 - z - 450000. Let g be j(p). Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1, 1 in decreasing order.\nAnswer: 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 2. Let r(m) = m**3 + 3*m**2 - 3. Determine 4*g(j) - 3*r(j).\nAnswer: -3*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.4 (b) -3\/5 (c) 0.008 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 75246148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 33103 - 24647 = 0. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 111864 from 6930.\nAnswer: -104934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8)\/((-1)\/(-4))*-6. Solve -8 = p*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1830, -3502, -5144, -6756, -8338, -9890?\nAnswer: -11412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42807?\nAnswer: 3, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732652 is divided by 732651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuffuvfvufuff. Give prob of picking 1 u and 1 f.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8901 - -0.01778265.\nAnswer: 8901.01778265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7280, -59963, -202970, -481463, -940604, -1625555?\nAnswer: -2581478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1194197510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4 - 38\/(-16)*2). Suppose -57 = 5*k + u*i, -5*k - 26 - 10 = -3*i. Sort k, 4, -4 in descending order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 4. Let y(f) = 20*f + 15. Suppose 3*z + 2*g = -g - 42, 11 = -z - 4*g. Suppose 3*n - 24 = x - 2*n, -16 = -x - 5*n. Give x*y(m) + z*t(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -923 - -3263?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bob when three letters picked without replacement from fbbcobxbxffe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 3*r)*(4 - 4 - 2) + r - 1 + 1 + (r - 10 + 10)*(2 + 3 - 7).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 - q**2. Let a be 4 - 1\/2*6. Let f be t(a). Solve f*u = -3*n - 5, -n + 14 + 11 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, t: 2, g: 3, k: 3, x: 3}. What is prob of picking 2 t and 1 k?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, v: 2, u: 3}. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2. Let y(l) = -39*l**2. Give -27*p(o) - 2*y(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k + 21. Calculate g(10).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 2\/371?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1017 and 22826?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 1 + 1 + (-4 - 2 + 4)*(3*a**3 + a**3 - 2*a**3) - 4*a**3 + 2*a**3 + 0*a**3 + 0*a**3 - 5*a**3 + 0*a**3 - a**3 + 28 - 28.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-170)\/(-30) - 2\/3. Suppose -q*s - 6 = 3*y - 2, y + 2*s = -3. Let o(h) = 30*h**2 - 14*h - 3. Is o(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2090 divided by 11\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 + 0 = -5*d, -5*j = 5. Let y(x) = -x. Let o(k) = -2*k + 2. Calculate d*o(r) - 2*y(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.57 + 1.5700202. What is x rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -38 + 159. Let s(u) = -u + 5. Let d be s(-6). Calculate the highest common divisor of j and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11807, 11836, 11863, 11888, 11911, 11932, 11951?\n\"Answer: -k**2 + 32*k + 11776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 3*x + 2*x)*(4*x**2 - x**2 - 2*x**2) + (4*x - 2*x + 6*x)*(-794*x**2 + 490*x**2 + 907*x**2) to the form g*x + b*x**3 + s*x**2 + z and give b.\nAnswer: 4823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 14, l: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 145, 339, 631, 1033, 1557?\n\"Answer: 2*f**3 + 31*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elllllleell. What is prob of picking 3 l?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-33)*u*u*u\/(u\/u**34)*u**(-16)*(u\/(u\/(u**18\/u)))\/u)**(-38) assuming u is positive.\nAnswer: u**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 862.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 6*l - 627 - l + l**3 + l + 4*l.\nAnswer: -l**3 - 2*l - 627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8*s**3 + 33082130*s**2 - 34200858052044*s + 8550212445378 = 0.\nAnswer: 1\/4, 2067633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1876.31942 to one decimal place.\nAnswer: 1876.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 2, l: 1, c: 2, a: 4, u: 2}. What is prob of picking 1 f and 1 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6 + 2 - 25*v - 21*v + 5*v. Let t be y(-2). Let x = t - 22. 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: Calculate prob of sequence gyy when three letters picked without replacement from {s: 2, y: 2, g: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 96 - 91, -3*c + 6 = 2*r + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)\/((-1)\/(-5)). Suppose 0 = -2*o - o + m*l + 33, -3*o + 24 = -2*l. Calculate the remainder when 11 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.472, -0.118, -1 in ascending order.\nAnswer: -1, -0.118, 0.472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(700)*-2 - sqrt(700)) - (1 + 2 + sqrt(700)) - (-1 + 3*(0 + sqrt(700) + -3)).\nAnswer: -70*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-8\/9)*t**(-34)*(t*t**(-36))\/(t\/(t*t\/(t**(-8)*t))) assuming t is positive.\nAnswer: t**(-548\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3221\/21 - 1076\/7. What is the fourth biggest value in f, 1\/6, -5, 7.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -2 (c) -4 (d) 0.3 (e) 3 (f) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -44*g**2. Let b(p) = 2*p**2 + 10*p - 5. Let t(u) = -u**2 - 12*u + 6. Let w(d) = 6*b(d) + 5*t(d). What is y(w(k))?\nAnswer: -2156*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4754 is divided by 183?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 - 90820*i**2 - 5924755*i + 6015570 = 0.\nAnswer: -66, 1, 18229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 16) in base 10?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*k**3 + 429*k**2 - 429*k**2.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q - 9001\/12*q**4 - 4*q**2 + 0 + 10\/3*q**3. Let c be d(10). Round c to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*c - 13, -4 = -4*c - 5*y - 6. Let x = -18 - c. Let j be (-2)\/((-24)\/x - 2). Solve -j*b = -8*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * 3.61.\nAnswer: 1.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*k**2 - a**2*k - 70*a**2*r - 3*a*k**2*r - 2*a*k*r - 8*k**2*r wrt k?\nAnswer: -2*a**2 - 6*a*r - 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 25516416?\nAnswer: -25516362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2050 (c) 0.6 (d) 17 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 20. Suppose r = 3*d + 8. Which is bigger: d or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 510472936\/13305 - 38367. Let h = 1317187\/106440 + o. Calculate the common denominator of 107\/22 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -31*p**2 - 3*p - 7. Let r(y) = -21*y**2 - 2*y - 5. Let l(v) = -5*m(v) + 7*r(v). What is the second derivative of l(u) wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-15)\/(-27)) - -3. Let x(w) = 0*w + 6*w**2 + 2 + 3*w**3 - 3*w - 4*w - 2*w**3. Does 11 divide x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (43 - (129 - 36)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (13 + (1 - -3) + -12 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115182011?\nAnswer: 7, 701, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150693043 and 78756?\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.2074 (c) -0.7 (d) -10 (e) 5 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 11, 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1704 + -1938.9. Let v = b - -217. What is v rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-592)\/28*(-4326)\/2472?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**4 - 84*p**3\/5 + 1976*p**2\/5 - 1008*p + 3168\/5 = 0.\nAnswer: -66\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 7*d - 14*d + 3*d + 2*d**2 + 0*d**2 - d**2 + (d - d - d)*(0*d + 2*d + 0*d) to the form r + s*d**2 + m*d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5 - 96 + 152*x + 48*x**2 + 68*x**3 - 102*x**3 - 84*x**2 + 15*x**4 = 0.\nAnswer: -2, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162299138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2124)\/117 - (14 + (-2576)\/182)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 198?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22773865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/40 + 3)*(9 + (-24 - -19))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 3*q - 1. Suppose -3*u - 4*j = -19 - 0, -2*j = 4*u - 12. What is the lowest common multiple of w(-2) and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53143367, 212573463, 478290289, 850293845, 1328584131, 1913161147, 2604024893?\n\"Answer: 53143365*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 256, -1\/2?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 7. Let l(x) = 4*x - 4. Let n(w) = -3*f(w) + 5*l(w). Let h(u) = u + 7. Let m be h(-4). Suppose -2*r + m*o = 10, -o + 7 = 3*r - 0*o. Give n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 63*j - 61. Let x be r(30). Let l = x + 2036. List the prime factors of l.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*d + 14 = 0, 4*q + 2*d = 5*q + 6. Suppose -q = 5*u - 3*u. Let t = -9163\/9 + 1017. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41178 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*l + 3*u - 244, 0 = 4*l + 5*u - 203. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 - 3750*n - 9068895 = 0.\nAnswer: -1023, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/11 + 1495044*y**3\/11.\nAnswer: 2*y**3*(y + 747522)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-280)*552)\/(65\/455)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4439473 tonnes?\nAnswer: 443947.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*(-15)\/(-4). Let o = 6\/91 + -12\/13. Suppose -13*i + 263 = 19*i + 199. Which is the second biggest value? (a) t (b) 0 (c) o (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3213033012 (base 4) to base 9\nAnswer: 1703210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 m when three letters picked without replacement from mjjuayeya?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(539)*4 - sqrt(11))**2 + sqrt(99)\/(-6*sqrt(63)\/sqrt(7)).\nAnswer: -32076 - sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**1*h*h\/(h**5*h)*h)**22 assuming h is positive.\nAnswer: h**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3937 - -3937. Is -2881 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97 - 102e79?\nAnswer: -102de2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 25560.27?\nAnswer: -25560.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**4 - 3*p**3 - 168*p**2 + 1870*p - 42178369?\nAnswer: 8*p**3 - 9*p**2 - 336*p + 1870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 110. Suppose -m*q - 601 = -1661. Is 53 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-12))\/(-10) - (10 + -4)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/9226926 and 7\/482?\nAnswer: 9226926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y + 1\/3*y**3 + 3\/2*y**2 - 1. Factor o(j).\nAnswer: j*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -5*r - 2*g, 2*r + 69 = 3*r - 2*g. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f + 52*f = -4*s - 2252, 5*s = -2*f + 1105. Does 559 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 451720.\nAnswer: 3162040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-15))**(-19\/2)*t**2*t*t**6*t**(1\/2)\/t*t**0 assuming t is positive.\nAnswer: t**(-134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2711, -36, 690\/13 in descending order.\nAnswer: 690\/13, 0.2711, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 16*h**2 + 3*h - 63. Let j be r(16). Let q be 42\/(-14)*j\/9. Solve 2*k + k = -l - 17, -2*l - q*k - 29 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.4. Let q = l - -3.6. Let z = q + -4.32. What is z rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507.3951 millennia to months.\nAnswer: 6088741.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 191\nAnswer: 95.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**4 + 17 - 16 + a + 6*a**4 + (-2 - 5 + 4)*(-2*a**4 + 5*a**4 - 4*a**4).\nAnswer: 2*a**4 + a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63415384?\nAnswer: 2, 7926923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.318 + 0.082. What is the third biggest value in -3, s, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-4))\/((-1)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 2*m + 14, -4*i + 3*m - 35 = 0. What is the common denominator of (-25)\/6 - (-6)\/(-9) and (2\/(-9))\/(i\/822)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q**3 + 11*q**2 - q. Let s(m) = -12*m**3 + 14*m**2 - m - 1. What is 5*s(p) - 6*y(p)?\nAnswer: 6*p**3 + 4*p**2 + p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 133754985.18 to the nearest ten thousand.\nAnswer: 133750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 463211 in descending order.\nAnswer: 463211, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9db2 (base 14) in base 9?\nAnswer: 41524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1973 + 1973.000003452. What is t rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 548 - 550. Let h(q) = -5*q**2 + 56*q + 61. Let b(o) = o**2 + 2*o + 1. Let p(i) = n*b(i) - h(i). Factor p(l).\nAnswer: 3*(l - 21)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76078925 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 - 197. What are the prime factors of m + 1 + -3 + -3 + 212?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2511717*s**2. Let q(i) = -250*i. What is q(w(p))?\nAnswer: 627929250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Suppose 0 = 3*d - 3*l, 0 = -0*d - 2*d - p*l + 28. Suppose 0 = d*o - 10 - 2. What is the highest common divisor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 + 635*z - 180. Let p be u(-91). Find j, given that 0*j**p + 0*j + 1\/3*j**5 + 1\/3*j**3 - 2\/3*j**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 4*m**2\/3 - 8*m\/3 + 16\/3.\nAnswer: 2*(m - 2)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8633*r - 9175 = 9000*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 + 650*i - 12795. Let c(p) = -12*p**2 + 976*p - 19192. Let z(n) = 5*c(n) - 8*v(n). Factor z(h).\nAnswer: 4*(h - 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let o = -17 + 18. What is the third biggest value in o, 3\/7, p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-45)*15\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:22 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 36750306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + q + 577, 4*x - 2*q = 606 + 1712. Suppose x = -11*g + 1374. What is the greatest common factor of g and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 3. Let z(m) = 2*m + 3. Let v(x) = -4*h(x) + 6*z(x). Let j = 40 + -24. Calculate the remainder when v(14) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 1. Let y = 1 - 2. Let v be a(y). Let s(m) = -3*m - m + v*m. Let f(p) = -2*p**2. Give s(f(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, 0.052, 0.2 in ascending order.\nAnswer: -3, -1\/5, 0.052, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.1526 - -0.4886. Round g to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -1\/6, 1\/17, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1871 + 0.1871. What is the fourth smallest value in -3, u, 149\/2, 1?\nAnswer: 149\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a + 2*c - 5237 = 0, 3*a - 5213 = 4*c. Let t be a\/166*1*10. Calculate the highest common divisor of t and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Let i = b - 7. Calculate the least common multiple of (-3)\/(-6) + (-17)\/i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 - 4*i**3 + 8*i + 8 + 2 - 10 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4266*i + 6679*i + 5327*i.\nAnswer: 7740*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/((f*f\/((((((((f**(1\/3)*f)\/f)\/f*f)\/f)\/f)\/f)\/f)\/f)*f)\/f)))**(2\/89))**(-2\/57) assuming f is positive.\nAnswer: f**(-92\/15219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*m + 15, 0 = 2*q + 5*m + 2 + 25. Find the common denominator of 10 + q - (-146)\/(-10) and -99\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsuy when four letters picked without replacement from eustueteyu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1446796nm?\nAnswer: 0.0000000000001446796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 5*i**2 + 7*i - 7. Suppose -4*g = 4*t - 12, -4*g = -3*g + 3*t - 7. Suppose 2*v - 3*v = 5. Let o be (-7 + v)\/(-3 + g). Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/9)\/20)\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2890175548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 14. Let z be c(-12). Let f(p) = 3*p + z - 2 - 3. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -33\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 4*s = 22*s + 209 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38887*p + 38884*p - 15 = 0. Put p, -1, -101 in increasing order.\nAnswer: -101, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let y = k + -2. Suppose 181 = -119*f + 62. What is the nearest to f in y, 1, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrryrqrqrrrrq. Give prob of picking 3 q.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*u - 20 = 299*u + 2*r, r = -6*u + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -1221?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 737296.2 litres in millilitres?\nAnswer: 737296200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 > 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 60, 114, 190, 288, 408?\n\"Answer: 11*h**2 - h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-12)\/(-126) - (-41610)\/(-145586). Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -251 or -4249\/17?\nAnswer: -4249\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - 0.2. Let m = -21 - p. Let x = m + 19.24. Round x to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*h + 60, -8 = -0*h - h - 3*o. Let r(s) = -4*s - 1 + 0*s**2 + 0 + s**2. What is the remainder when h is divided by r(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bb1a2 (base 12) to base 15\nAnswer: 9c052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 1277272*m**4\/7 - 6751568*m**3\/7 + 10766132*m**2\/7 - 6386718*m\/7 + 1094868\/7 = 0.\nAnswer: -91239, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*t + 8. Let j be (t\/8)\/((-2)\/(-8)). Is j smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 89*z**2 + 279*z - 279*z.\nAnswer: 90*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 5. Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 28*w**2 - 195*w - 45. Let t be y(-16). Let h(u) = 3*u**3 + 4*u**2 - 17*u - 2. Let l(n) = 4*n**3 + 5*n**2 - 16*n - 3. Give t*h(x) - 2*l(x).\nAnswer: x**3 + 2*x**2 - 19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 455551 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -207208 divided by 103604?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15850 + -3657?\nAnswer: 12182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 - 4*n**2 + 4*n + 7. Let m(w) = -3*w**3 + 3*w**2 - 3*w - 6. Let c(l) = -4*h(l) - 5*m(l). Let j(b) = b**3 + b**2 - b. What is -c(x) + j(x)?\nAnswer: -2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 207944?\nAnswer: 5\/207944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.94 - 0.06. Let q be ((-78)\/12 - -4)\/((-3)\/6). What is the nearest to -0.3 in u, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*c**3 - 20*c**2.\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddo when three letters picked without replacement from {o: 4, d: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.162, 2\/5?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692261409?\nAnswer: 3, 7, 19, 73, 23767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 18237.\nAnswer: 36474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524\/4*1 + -3 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -19, -6, 23, 74?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1008) - (sqrt(1008) + sqrt(1008) + sqrt(1008)*-2)))**2 + (sqrt(1008) + 1)**2 + -2.\nAnswer: 24*sqrt(7) + 26207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176152 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -38*k**2 + 13294*k + 1283. Determine l(350).\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = 119*u + 21*u - 4082. Solve -11 = -u*h + 15*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/13 + 100*w**2\/13 - 88*w - 208 = 0.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 75. Let g be h(-18). Suppose -4*t - 4*y + 44 = 0, t + y + 22 = g*t. Suppose t*z = 13*z - 124. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 12) + -77 + 47 + -22.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6009, 4819, 3629?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -71. Let o(z) = -7*z - 10. Let v(d) = -d**3 + 5*d**2 - 4. Let u be v(5). What is the remainder when h is divided by o(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 s when three letters picked without replacement from {s: 1, y: 1, m: 4, t: 3, u: 1, n: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -15*f + 200. What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-22))\/((-6)\/(-66)). Suppose 5*y = 25, 2*y = -5*p + 2*p + 1. Sort w, p, -1 in descending order.\nAnswer: w, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -7)*2\/(-4). Suppose p = -2*g - 7 + 9. Let h(q) = 809999*q**2 + 2*q - 1. Let s be h(g). What is s rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132 + ((-6)\/2 - 1). Calculate the highest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaaxbaxxaaakabnnab. Give prob of picking 1 n, 1 b, and 1 a.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14577*i - 6. Let p(q) = -767*q. Give p(u(g)).\nAnswer: -11180559*g + 4602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*a = -128, 263*n = 234*n - 4*a + 31 + 159 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2) + 3*1. Suppose -2 = 4*o + 2*v - 0*v, 0 = -k*o - v. Is -2\/31 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - u = 1, 0*o + 3*o - 2 = 2*u. Suppose 8 = -o*l + 4*l. Solve -l*x = -3*x - b + 5, 2*x = -3*b + 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278094, -164, -2 in descending order.\nAnswer: -2, -164, -278094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11 and 21\/164.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*g = 76*g - 108. Let a = g + 31. What is the remainder when 15 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12459915 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxef when four letters picked without replacement from {x: 12, f: 5, e: 1}?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, f: 4, w: 7}. Give prob of picking 2 w and 1 f.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 66, 154, 0.2, -12 in increasing order.\nAnswer: -12, 0.2, 6, 66, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1663.6356 months?\nAnswer: 1.386363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46\/3 - -14. Sort -1, a, 0.3.\nAnswer: a, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3162)\/256122 - (-1911)\/(-2673)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -407593*r**3 + 597825*r**2.\nAnswer: -2445558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -1527, -3456, -6167, -9666, -13959?\nAnswer: -19052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**(-3\/2)*p*p**2*p**(-7\/3))**(-32\/3) assuming p is positive.\nAnswer: p**(656\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15424*z**2 + 277629*z + 60. Calculate h(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 0, -137*d + 141*d + 3*u = 5084. What are the prime factors of d?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 4*i**2 - 7*i + 5. Let p(b) = 8*b - 2. Calculate the remainder when k(4) is divided by p(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 6. Suppose -w*m + 3 = -7. Suppose -3*r + m*c - 34 = 0, 5*r + 4 = -2*c - 1. Which is smaller: -4 or r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1022*l**2 + 957*l**2 + 5*l**3 + 23*l**3 + 2*l as f*l**3 + m*l + c + j*l**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*m - 19783 + 2817 = 4983 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121897613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:47 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 2*j**6\/5 + j**4 + 13*j. Find the third derivative of n(x) wrt x.\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*o = -78*o + 313*o - 35882. Calculate the highest common factor of o and 896.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(-3 + (((0 + sqrt(108) + sqrt(108))*-4 - ((sqrt(108) - (1 + sqrt(108) - sqrt(108))) + -4))**2 - (2*(5 + sqrt(108)*-1 + sqrt(108)))**2)).\nAnswer: -3240*sqrt(3) + 52020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - -6) + 2 + 12\/30*20. Solve -w*g = -20*g - 5*z - 5, 2*g = -2*z + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.97 - 0.17. Let w = b - 3.7. Let g = -10.1 + w. What is the third smallest value in 5, -1, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 3405007590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 598*p*w**5 - 2*p*w**3 + 2*p*w + 4*p + 715*w**3 + 5900*w - 58 wrt w.\nAnswer: 11960*p*w**3 - 12*p*w + 4290*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7456578, 7456510, 7456442, 7456374?\nAnswer: 7456306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 + -0.094851.\nAnswer: 26.905149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6 - 0) + 3\/2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 - 205. Let m = 22.4686 + 53.521. Let f = j + m. What is f rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150.5 - 860.5. Let u = 706.83 + m. Round u to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/(-9))\/(-4) - 11\/(11\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.2 - -14. Let v(q) = q**3 + q - 1. Let n be v(0). Let k be -10*4\/24 - n. What is the closest to t in 0.03, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 100, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5431977 is divided by 1556?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1103911 less than -449468?\nAnswer: -449467.8896089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 5*n + 10, 128*p - 2*n = 125*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -527.8. Let w = i - 528.0000168. What is w rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -7*w - 32. What is the lowest common multiple of w and 113?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092 divided by -72821?\nAnswer: 156\/10403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. What is the common denominator of (z + (-8)\/5)\/2 and (3978\/(-252) + 17)\/((-2)\/(-6))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = 9*g - 92. Sort -3, -7, g in increasing order.\nAnswer: -7, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1018*u + 68. Let x be h(-11). Suppose -1054 = -14*d + x. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100010 - 10101111?\nAnswer: -1010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/25 - 2)\/((-1947)\/385 + 5)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfvvvvfvfvvvv. Give prob of sequence vfv.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*w + 4*w + 1 = 0, w = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 9*v**4\/22 + 52*v**3\/33 - 40*v**2\/11 - 1200. Factor p(i).\nAnswer: 2*i*(i + 4)*(9*i - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 952152292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31012230 (base 4) to base 8\nAnswer: -150654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*r = -3*u + 1313, 2 = r. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w. Let l(r) = r**2 + r. Let q(z) = 24*z**2 + 6*z. Let i(f) = 2*l(f) - q(f). Let s(o) = i(o) - 4*n(o). Let j(c) = -3*c. Determine s(j(g)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 16*s + 32. Let x be h(-18). Let r(z) = -13942*z**2 - 16*z + 8. Let c be r(x). What is c rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:48 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -217, -225, -233?\n\"Answer: -8*k - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 349, 559, 769, 979?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118870330 + -118870315.0000009. Let n = w - 15. Round n to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 163*b = 164*b + 687, -5*g = -4*b - 3441. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432066 (base 9) in base 3?\nAnswer: 20111002002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(-5 + ((0 + sqrt(425))*3*-4)**2 + 5).\nAnswer: -1101600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-45 + 3)\/6 - -7)\/(-7). Let h(j) be the first derivative of -5 + b*j**2 - 9\/4*j**4 + 0*j - 8\/3*j**3. Find the third derivative of h(y) wrt y.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, e: 6, x: 7, j: 3, o: 1}. What is prob of sequence xejo?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-1) - (2 + -1). Let c = u - 28. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 3*y**2 - 2*y + 4. Let r(g) = 2*g**3 - 6*g**2 + 4*g - 9. Let v(z) = 9*j(z) + 4*r(z). Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.3 + -38.2. Let k = p - 1.1. Let t = -62 + 61.71. Sort -4, t, k in decreasing order.\nAnswer: k, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 + 0 = 0. Let l = u + 11. Suppose -l = -4*g + 11. Calculate the smallest common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 96*u + 8. Let j(b) = 64*b + 6. Let l(o) = -7*j(o) + 5*r(o). Let w be l(-1). What is the common denominator of (w\/48)\/(18\/(-27)) and -21\/82?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187\/688673 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z**2 - 4*z - 8. Let h be 2\/(-6) + (-125)\/(-15). Let s be m(h). What is s rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 - 18*i + 4*i**2 + 5*i**3 + 18*i - 7*i**3 to x*i**3 + b*i**2 + l + q*i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*q + 2*l, 4*q - 2*q = -3*l - 31. Let j = 84 + q. Suppose -2*k = 2*k - j. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 1338 = 2*q - 3*c, -4*c = 5*q - 3351. Let o = q + 259. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 + 1. Let a be d(0). Let m = -282 - -285. Calculate the greatest common divisor of a and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 7*h + 11. Let p be m(-5). Does 21 divide -2 + (31 + p)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 42*x + 18. What is k(-20)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 265\/7 in -4\/9, 4, -27, 6\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27183602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 2752*f - 8*f**2 + 1376*f + 1376*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s + 3*m, 0 = -3*s + 3*m - 3 + 15. Suppose 0 = -3*q - s*q + 10, -3*q = 2*l - 16. Which is the biggest value? (a) 0 (b) l (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 478, 413, 310, 157?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u**2 + 2. Let a be p(2). Let i be a\/4 + (-20)\/(-8). What is the derivative of 3 + 2*f**3 - i*f**3 - f**3 wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + q, 16 = 7*q - 3*q. Suppose -d + x*d = n + 4, -5*d + 4*n = -16. Let a = d - 0. Solve 0 = -h - a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 4*d - 4*d)*(21*d - 40 + 40).\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:39 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k + 1. Let v be z(1). Let w(t) = -2*t - 4. Let m be w(-4). Suppose 5*l = -p + 3, m*p + 5*l = 2*l - 5. What is the nearest to v in p, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612*d = 615*d - 12. Let w(x) be the second derivative of 0 - 3*x**2 + 11*x + 1\/20*x**5 + 0*x**3 - 1\/2*x**d. What is w(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 12 - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = -3*s + 40, -2*p + 10 = -s. Let h = p - 5. Solve -17 = -3*c + 4*l, -c - 11 = h*l - 0*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7093549?\nAnswer: 7093549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 5, u: 2, f: 3}. What is prob of picking 1 b and 1 u?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*s + 29 + 0*s - s**3.\nAnswer: -s**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228872401.\nAnswer: 79, 2897119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-6) - -3 - (7 - 13).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-400)\/32 - 7)\/((-39)\/(-104)). Let k be -2 - -1 - (5 + 45). Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13164 + 5?\nAnswer: -1315a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550900 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50029351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116217 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -168*y**2 + 432*y - 183. Let j(w) = -42*w**2 + 109*w - 44. Let a(l) = -21*j(l) + 5*x(l). Suppose a(r) = 0. Calculate r.\nAnswer: 1\/14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 1782.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 * 1121.\nAnswer: -140125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:45 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 2340 = -1296. Suppose -x*v + 1272 = -190*v. What are the prime factors of v?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0662612 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/112*-8)\/((-4)\/(-14)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-99)\/(-18))\/(-11)). Is b > -602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1952197, 3904394, 5856587, 7808776, 9760961, 11713142, 13665319?\n\"Answer: -2*x**2 + 1952203*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.353 - 1.353. Let c = 59 + -135. Let w = c + u. Does 1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31931213 - 31931167.999937. Let h = o + -45. What is h rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -287, -927, -2177, -4241, -7323, -11627, -17357?\nAnswer: -24717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2 + 24*s - 14*s - 21*s. Let f be 2*(-3)\/(-4)*-2. Let b be y(f). What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -120. Let d = g - -53. Solve 0 = -5*b + 4*b - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 19. Solve -3*d - 6 = -n*d + 2*w, -5*d + 4*w = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*j + 3874*j + 6372*j in the form o + b*j and give b.\nAnswer: 10105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4*y)\/(y\/y**5*y))\/(y**(-2))**(-3\/46)*(y**(-6)*y*((y*y\/(y\/y**2))\/y)\/y)\/((y\/y**(-3\/2)*y)\/y*y**0) assuming y is positive.\nAnswer: y**(109\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -211 in 0.1, 0.2, -2.6, -1, -0.4?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*c + 3*t, -4*c - 2*t + 1 = 5. Let j be 11\/(-4) + 1\/4. Let r = j - -19\/10. Is r at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -2\/13, 0, -0.886 in descending order.\nAnswer: 0.14, 0, -2\/13, -0.886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3 - 0) + 1550\/30. Suppose -5*q + 60 + 16 = 4*k, u = 2*k - q. Is (k\/20)\/((-3)\/(-140)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l + 53 = 5*m, -2*l = 8. What is the highest common divisor of m and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:20 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -11*b + 40. What is the lowest common multiple of b and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1940651*j + 19406504. Determine u(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9) - 1 - 8\/(-18). Let j = 433 - 3025\/7. Which is the closest to q? (a) 2\/9 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 2433.\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 8. What is the remainder when f(4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00451411 rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -275694, -275693, -275692, -275691, -275690?\n\"Answer: z - 275695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 25*h - 39. Let o be a(7). Calculate the greatest common factor of 10744 and o.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.76 and 29.6?\nAnswer: 22.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 43 = -31. Suppose -3*h - 4*a + 6 = 0, q*h + 2*h + 25 = 5*a. Is -81*(h + 25\/15) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 8*k + 7. Let p be o(-7). Suppose -2*t = -2*v - p*t + 2, -v - t + 9 = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 - 2*a + 8. Let f be i(6). Let h be -4*(-2)\/f - 1. Which is smaller: h or -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and 481.796.\nAnswer: -17826.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -38599\/8011 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2838 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 + 10*j - 45. Let i be d(5). Let m be ((-6)\/15)\/((-636)\/i + -3). Is m at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45650*18\nAnswer: 821700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40\/71 - 2508\/923. Which is the second biggest value? (a) g (b) -1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 520*z**2 - 6583*z - 105. Calculate c(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 18*z + 6. What is u(-4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*q + 5535*q**3 - 1523*q**3 + 1879*q - 935*q.\nAnswer: 4012*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 m when four letters picked without replacement from {p: 7, m: 6}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 107?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 9*h - 2*h in the form j*h + z and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -18.1356.\nAnswer: 36.2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78791841*h**3*w - 60498*h**2*w + 115*h*w wrt h.\nAnswer: 472751046*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + -2 - -7. Suppose m*u = -1 - 3. Which is smaller: 1\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -11 - 12) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let l be j(6). Let h(c) = -c**3 - 5*c**2 - 4*c - 1. Let b be h(-3). Let y(a) = -a**2 - 8*a - 3. Let x be y(b). Are l and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*p + 59*p + 32 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 0)*(50\/4 + -3). What is the highest common divisor of q and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 13226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1459 - 1459 - 165*i**2 as v + l*i**2 + u*i and give l.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1091?\nAnswer: 5\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, -9 in decreasing order.\nAnswer: 16, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 3*x - 448, 5*x + 3*q - 742 = 0. Suppose -2*r = 5*n - x, 0 = -r - 0*r - 3. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*1*-5 - sqrt(114))\/(sqrt(6) + sqrt(60)\/sqrt(490)))**2.\nAnswer: 23275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5536.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 281836*v**3 - 281816*v**3 - 2*v**2 - 11*v**2 + 2*v**2.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 83*n**2 + 104*n - 8759. Determine t(83).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1*2\/3*2\/(-4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378126584 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 21 + 0)*(3 - 3 - 1)*(5*q**4 - 2*q**4 - 4*q**4) + (518*q - 289*q + 405*q)*(5*q - 5*q - 2*q**3) as f*q**4 + h*q + v + o*q**2 + j*q**3 and give f.\nAnswer: -1293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 + 5*y**2 - 37*y**3 - 18*y**2.\nAnswer: -37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-7))\/(-11)*102\/51\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -28) + -7 + 27 + 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12210133330 (base 4) to base 2.\nAnswer: -110100100011111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-12) - (-14)\/21 - 14\/(-3). What is the highest common divisor of d and 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p - 14. Suppose -5*u + 35 = 3*n, -3*u - 637*n + 55 = -642*n. Calculate v(u).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 - 19 = 0. Suppose -44 + 8 = -m*k. Let d = k + 6. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041589 rounded to four decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*g + 83472 + 56773 + 38888. Solve 0 = 11*m - g + 2147 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, 5, -972, -4 in descending order.\nAnswer: 5, 4, 0, -2, -4, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, j: 9, z: 2}. What is prob of sequence cccc?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*n + 124, 234 + 15 = -2*c + 5*n. Put -3, c, -1 in decreasing order.\nAnswer: -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-2 - 5) + 20 + 0) - 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -c - 0*d - 8, 0 = -4*c + d - 52. Let y = c - -21. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - f - 14, f + 26 = 5*s. Calculate the least common multiple of ((-16)\/6)\/((-2)\/s) and 2\/2*(-2 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9075 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/4 - (-1 - 1\/(-1)). Let w be (-2)\/(18\/3)*-12. Suppose w*x = 5*n - 7, 6*x + n = m*x + 11. Solve -4*i + 12 = x*l, -2*l + 7*l = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -76.448. Let p = -1 - g. Round p to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 1. Let h(x) = -x**2 + 11*x + 2. Determine 6*h(s) + 13*k(s).\nAnswer: -6*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6734 and 444?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0 + 2\/3*q**4 - 7\/5*q**5 - 4\/21*q**7 + 0*q**3 - 10*q + 14\/15*q**6 + 0*q**2. Solve r(y) = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2601\/(-4046)*(-16)\/108.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h\/(h\/((h\/h**(-2\/5)*h)\/h*h))))**(6\/19) assuming h is positive.\nAnswer: h**(-162\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 591161865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 2) + 1 + -2. Let k(x) be the third derivative of -33*x**2 - 1\/6*x**3 - 1\/60*x**5 + 0*x + 0 + 1\/6*x**4. What is k(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 2 + (-3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -5*s**2\/2 - 30*s - 147. Let x be k(-6). Solve x = 2*w - 6*w + p - 24, 19 = -3*w + p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337250733.\nAnswer: 3, 2011, 55901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 8:44 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1875*3.\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d - 2*d**3 - 2*d**4 + 6*d**3 - 5*d**2 + 0*d**2 + 6*d**2 - 1 - 5*d**3 as a*d**2 + r*d**4 + x*d**3 + b + m*d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9.312577, -2.\nAnswer: -9.312577, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (-2)\/((12\/(-18))\/(5303\/3))?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 104. Let v = s - -12. Let b(u) = v - 50 - 2*u. Give b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83? (a) 6.1 (b) -5 (c) 2.7 (d) 3 (e) -0.07 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -10. Let o(f) = 39*f - 3. Let u(c) = -19*c + 2. Let z(l) = -4*o(l) - 7*u(l). Let m be z(n). What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.855 + -14. Round t to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.01 + -0.01. Let m = 2 + s. Which is the closest to -1\/4? (a) -3 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.254677mm to micrometers.\nAnswer: 3254.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67+175336107.8\nAnswer: 175336174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5500) - (sqrt(6655)*-2 + sqrt(55)))\/(-6*sqrt(45)\/(1*sqrt(9))).\nAnswer: -31*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 3:01 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4235529 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/(g*g**3)*(g\/(g\/(g*g*g**3\/g)))\/((g*g\/(g\/g**(-5))*g*g)\/g))**(-8\/5) assuming g is positive.\nAnswer: g**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -23*d**3 + 10*d**2 + 5*d - 22. Let s be p(-2). What is the greatest common factor of 624 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/14 + (-5)\/(30\/24) and (4\/176)\/((-10)\/(-245)).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 - 5) + 3\/4)*1384\/(-346)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from myymyyyyyyymyyyy?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(108)*1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 34. Solve -z + 4*m = -17, 33 = a*z - 5*m + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 1 + 3 + 5. Suppose -120 = -2*w - o*w. Suppose 2*d - w = -0*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1805\/(-55) + (4080\/187 - (-506)\/(-23))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 54, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -684, -1026, -1368, -1710?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35350 and 184830?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1149 = -2*f + 1142, 2*f = -12*c - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 35. What is the least common multiple of 22 and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 + 64*y + 7. Suppose -4*l + f - 3*f - 20 = 0, -5*f + 55 = -5*l. Let q be s(l). Solve q*u = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42902231.4 minutes to weeks.\nAnswer: 4256.17375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 - 3*x**3 - 3*x**3 + 13*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrrmrmmrzmmmmmmz. What is prob of picking 3 m and 1 r?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -23 (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 4*m. Let o(k) = -6*k + 4*k - k**2 + 3*k + 0*k**2. What is o(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-197026)\/(-215) + (-1)\/((-5)\/(-2)). Let v = 2287 - m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 101277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 367, 359, 351, 343?\n\"Answer: -8*x + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-13)*(-374)\/68. Let x = 161\/221 + y. Which is the nearest to 1\/5? (a) x (b) -2 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 7, a: 1}. What is prob of picking 1 z and 1 a?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168242?\nAnswer: 2, 84121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 40*t**2 - 117*t**2 + 45*t**2 - t + 40*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 26772175, -0.2, 0.4 in increasing order.\nAnswer: -0.2, 0.4, 26772175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzazzazvzvvv. Give prob of sequence aazz.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/(-25))\/(8\/(-40)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*u - 5399 - 3080 = 14526. Let r(c) = 344*c**2 - c + 1. Let t be r(1). What is the greatest common divisor of u and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5750 + 62?\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t - 5983 = -5023 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/6 - 11028670*h**3\/3 + 11028671*h**2 - 33086014*h\/3 + 22057343\/6 = 0. Calculate h.\nAnswer: -22057343, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*q - 1320 = -786*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1617659345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -34873000 to the nearest 100000.\nAnswer: -34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - 3) + 6 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31097.35 micrometers to millimeters.\nAnswer: 31.09735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (150\/(-40) - -1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 11\/892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2027 + 3804. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (646\/323)\/((-4)\/5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(1053)) - sqrt(1053).\nAnswer: -6 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 441*z + 9. Let q(p) = 5*p**2 + 661*p + 14. Determine 8*f(r) - 5*q(r).\nAnswer: -r**2 + 223*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/17 - 599268*y**2\/17 - 4794240*y\/17 - 564032.\nAnswer: 2*(y - 299642)*(y + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112\/5 - -22. Let m be (-6)\/(((-15)\/2)\/5). Sort b, m, 0.5.\nAnswer: b, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydl when four letters picked without replacement from cllyyldclllhlchty.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -6. Let r be (-3)\/15 + (-1)\/(-7) - 0. Is r > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjhjjuauhsjjaga. What is prob of sequence hsj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-819))\/((-72)\/(-468)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2196 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178595\/71982 + 1\/2666. What is the common denominator of l and 16\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -360653, -721418, -1082183, -1442948, -1803713, -2164478?\n\"Answer: -360765*d + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m + 443. Let l(b) = 8*b - 3. Give l(a(q)).\nAnswer: -184*q + 3541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -7.35, -0.2.\nAnswer: -7.35, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:06 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*h = 98*x - 2*h + 410, 4*x + 39*h - 34*h = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277316136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 0*g**3 + 4*g + 2*g**3 - g + 67*g**2.\nAnswer: 2*g**3 + 67*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 11. Let f = l + -3. Suppose -b + f*b = 10. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5109, -10067, -14867, -19509, -23993, -28319, -32487?\nAnswer: -36497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 4 + 4)*(-i + 3*i + 0*i) + (-2*i + 2*i - i)*(-2*i + 6*i + 0*i) + 3*i**2 + 2*i**2 - 4*i**2 as d + l*i + v*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3 - 24\/9) + -6. Let a be (12\/48)\/(5\/(40\/r)). What is the closest to a in 19\/4, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/160 and -37\/296580?\nAnswer: 2372640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 188 (base 12) to base 5\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -33. Let i = n + 3. Suppose -2*m + 8 = 0, -5*b - 5*m = -15 - 40. What is the remainder when i is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142 in -104, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 125?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/15 - 323282*y**2\/5 + 39187677984*y\/5 + 587936406760\/3.\nAnswer: 2*(y - 242474)**2*(y + 25)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4873*g + 27365 + 20434 + 99248 - 30095 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from drrrrrrdrbrrbrbudrrr.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 2, k: 5, r: 4, l: 4}. What is prob of picking 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -6*z - 1800. Let t = 297 - z. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v - 20. Suppose 5*w - 1995 = v*q - 7495, -q + 4400 = -4*w. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(25) + sqrt(150)\/(-1*sqrt(6)))\/((sqrt(25) - (sqrt(25) - sqrt(75)\/sqrt(3) - sqrt(25)))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4457851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (11 + -16)) + 26 + 18\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0125 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 10*z**2 + 11*z + 44. Let w(b) = -b**3 + 43*b**2 + 46*b - 80. Let t be w(44). Calculate v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78660151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 740 (base 12) to base 13\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 333203 (base 9) in base 6?\nAnswer: 4134050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 7 + 338*y**3 - 4*y + 4 - 337*y**3. Let k be x(5). Calculate the remainder when 25 is divided by 12\/k - 152\/(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j**2 - 12*j + 57. Let p(m) = -20*m**2 - 18*m + 86. Let u(f) = 5*p(f) - 8*w(f). What is the remainder when u(5) is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**8\/m))**36 assuming m is positive.\nAnswer: m**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 231*s - 3. Let n(g) = 3*g**2 - 233*g - 2. Let r(k) = 4*l(k) - 6*n(k). Let f(w) = 2*w. What is f(r(v))?\nAnswer: -4*v**2 + 948*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6189, 6187, 6175, 6147, 6097, 6019, 5907?\nAnswer: 5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/23173 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7802, -7794, -7786, -7778, -7770, -7762?\nAnswer: -7754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7606a (base 11) to base 3.\nAnswer: -12121122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21))\/(16\/32).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 15 (c) -2\/15 (d) 2 (e) 0.3 (f) 386 (g) -0.015\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i + 2. Let p(a) = -13*a**3 + 20*a**2 - 2*a + 4. Determine 2*n(s) - p(s).\nAnswer: 13*s**3 - 22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/9 - 1362*u**3 - 18800698*u**2\/9 - 18772106*u\/3 - 4169764 = 0.\nAnswer: -3063, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-35))\/(26\/(-1905)). Let r = y + 120\/13. Factor -2\/7*v**3 - 2\/7 - 6\/7*v - r*v**2.\nAnswer: -2*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**5\/15 - 11*w**4\/3 - 242*w**3\/3 - 3*w**2 + 11. Let y(r) be the second derivative of j(r). Factor y(i).\nAnswer: -4*(i + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1938 and 1020?\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 554629.9 decades in centuries?\nAnswer: 55462.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2332443\/758440 + -6\/18961. What is the common denominator of 248\/(-580)*-8 + -3 + 0 and t?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4\/11 (c) -10\/7 (d) 1.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 0*c**3 - 1\/4*c**4 + 0*c + 1\/5*c**5 + 3 + 0*c**2. Factor u(z).\nAnswer: z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a factor of 2985161460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 16*b + 474 = 0. List the prime factors of 0 + b + (-58 - -55).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(20 + -11) - -7. Let s = -7596\/85 - -447\/5. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 159731?\nAnswer: 95838.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 16*r - 104 = 0. Calculate the highest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 9, -5 = -4*x - k + 18. Suppose x*h - 366 - 39 = 0. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -556801 + 706?\nAnswer: -556084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 359482609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 50*g**4 - g - 49*g**4 + 329 + 46 to b + u*g**3 + o*g + t*g**2 + c*g**4 and give b.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122863*k + 237*k**3 - 349 - 122863*k wrt k?\nAnswer: 711*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 283*b**2 + 4545*b + 275. Let v be l(-16). Let r(a) be the third derivative of -5*a**4\/24 + a**3 - a**2. Calculate r(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7404, 60696, 205352, 487056, 951492, 1644344, 2611296, 3898032?\nAnswer: 5550236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1572 divide 4465019196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8588859*w - 112494547 wrt w.\nAnswer: 8588859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2784 divided by -57.\nAnswer: -928\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8770919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:31 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137603 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - sqrt(15)*-1) + sqrt(15))\/sqrt(3))**2 + -4 + 4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0399 to 1 dp.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28*4\/32*-2. Calculate the remainder when k*5\/(70\/(-572)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(72)*-3 + sqrt(72))*5 + 3.\nAnswer: -60*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.59316 + -0.95?\nAnswer: 9.64316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 - 1 = 0. Suppose 3*b + 5*q - 2 = 0, b + 5*q = -4*b + m. Suppose r - 450 = -b*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3403, -3399, -3395, -3391, -3387, -3383?\n\"Answer: 4*k - 3407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 1 - 1)*(496 + 96*o - 496) - 663*o**2 + 663*o**2 + 1 - 2*o**3 - 3*o.\nAnswer: 190*o**3 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 3\/5, -2, -5, 0, 7, -625 in decreasing order.\nAnswer: 35, 7, 3\/5, 0, -2, -5, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2)*b)**(3\/16))**(-5\/3)*(b**(3\/5)\/(b\/(b*(b**4*b)\/b)))**15 assuming b is positive.\nAnswer: b**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 4*j + 5 + 0*j + 2. Let i be q(-3). Put 2, i, 1 in increasing order.\nAnswer: 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**2\/2 - 3*w - 3. Let h(k) = 2*k + 23480 - 46955 + 23485. What is 6*h(l) + 20*s(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 + 1041\/7. Let x = -0.097443 - 0.002557. Which is the nearest to x? (a) -0.1 (b) l (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*i**3 + 4 + (0*i + i - 3*i)*(-2 - 3*i**2 + 2) + (-4*i**2 + 2*i**2 + i**2)*(19*i + 17*i + 11*i).\nAnswer: -43*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + f = 2*v + 13, -4*v + 110*f = 2*v + 105*f + 37 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3958*d + 3958*d + 2*d**3 + 80 - d**2 to the form p*d + q*d**2 + k*d**3 + b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:51 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7065\/(-26690)*(-16)\/(-9).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/167116846?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - 16*x - 6. Let d(f) = -5*f**2 + 15*f + 5. Let s(c) = -5*d(c) - 4*l(c). Give s(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**3 + 22*k**3 + 15*k**3 + 0*k - 2*k**3 + 0*k + (-2*k**2 - 3*k**2 + 4*k**2)*(0*k + 5*k - k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 56340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 474.965l?\nAnswer: 474965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/15 - 62*r**2\/5 + 3844*r\/5 - 101. Find d such that h(d) = 0.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 7*r**2 - 11*r + 9. Let b be n(4). Suppose 3*g = -2*i - 5, i = -i + 3*g + b. Solve 2*y = -i*l - 4, 0 = 2*l + 5*y + 2 + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**2 + 5*c - 4. Determine h(3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*2\/(-9) - 20\/(-15). Solve -5 = -n + 2*d, a*n + n = d + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 7*o + 12. Suppose k + 9 = 44 - 22. Determine n(k).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*q + 1105 = 42*q - 53*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.82775 to 0 decimal places.\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52167 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67803 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88.4 + 88. Let t be ((-18)\/12)\/(3\/20). What is the second biggest value in g, -5, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7656040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(260\/(-6)))\/(6\/8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rragc. Give prob of sequence rar.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64379121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(171))**2*-2 + -3)*5.\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27007, -27008, -27009?\nAnswer: -27010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.63 - 0.63. Let o = i - 14. Put o, 1\/2, -5 in decreasing order.\nAnswer: o, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/2 + 3*y\/2 + 9 = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -14, -26, -40, -56, -74?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 0*s)*((-1 + 3 - 1)*(-5*s**2 + 0*s**2 + 3*s**2) + 4*s**2 - 4*s**2 + s**2).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 = -53610*v + 53392*v. Factor -22\/7*a**v + 3\/7*a**4 - 44\/7*a**2 + 9\/7 - 10\/7*a.\nAnswer: (a - 9)*(a + 1)**2*(3*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3746741934 to the nearest integer?\nAnswer: 61211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*s**2 + (-7*s**2 + 31*s**2 + 10*s**2)*(4 - 8 - 20).\nAnswer: -814*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 2*g - 140. Let y(n) = -7*n**2 + 2*n + 140. Let c(j) = -6*h(j) - 5*y(j). Is 25 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 at least as big as 24.5203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 25769, 0, 4, -0.3 in decreasing order.\nAnswer: 25769, 4, 2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.02 and -0.60005?\nAnswer: 0.41995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -770.4 * 2.\nAnswer: -1540.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -19.9, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2264 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(931) + -4 - 1*sqrt(931)*-2) + 2)**2.\nAnswer: -28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636104, -1635869, -1635634, -1635399, -1635164?\nAnswer: -1634929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-864)\/(-10))\/12 - 2\/10. Suppose 23 = 11*t - s*t - 3*u, 5*u = -4*t - 17. Calculate the smallest common multiple of 31 and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/8)*m**0*m)**46*((m*(m**0*m)\/m*m)\/m)**(2\/97)\/(m**(-1)\/(m*m\/m**(-3\/4)*m)) assuming m is positive.\nAnswer: m**(28813\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*f + 43, -f = -z + f + 64. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*z**2 + 101*z**2 + 88*z**2)*(5 - 9 + 3 + 7*z) as w + b*z**3 + j*z**2 + a*z and give j.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7449 and -37\/312.\nAnswer: 59592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1912980 or -1912981?\nAnswer: -1912980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*b = 9, -3 = j - 5*b - 4. Let f(s) = s**3 - 7*s**2 + 5*s + 7. What is the least common multiple of 9 and f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 55894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -3.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014901 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 - 5.4. Put p, -1, 0.2, -1\/4 in descending order.\nAnswer: 0.2, p, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473\/86*((-798)\/(-132) + -6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-14\/9))**(-25\/6)\/(w**(-28)\/(w**40\/w)))**(-3) assuming w is positive.\nAnswer: w**(-1984\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Sort v, -2, -5.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -807471\nAnswer: -807470.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/105 - 13*c**6\/60 + c**4\/24 + 7*c**3\/3 - 14*c**2. What is the second derivative of y(v) wrt v?\nAnswer: 24*v**2 - 156*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/14 - 18\/(-63). Let p(y) = 3 - 2 - k + 2*y. Let r(c) = 5*c. Determine r(p(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 10 + 1)*(2*t - 5*t + 2*t)*(-1 + 5 + 5).\nAnswer: -252*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 759024762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*r + 5*r + r + 5*r**2)*(-367*r + 228*r - 121*r) to n + a*r**3 + u*r + t*r**2 and give a.\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f = 29*f + 154. Solve 0 = 3*r - f*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-15)\/57)*2 + -5. What is the highest common factor of i and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, -1\/4, -10\/703?\nAnswer: -10\/703","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114264 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23019513.\nAnswer: 3, 11, 17, 37, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2818703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/32*(-6816)\/3976.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z**5 - 738 - 764*z**4 - 3904*z - 5984*z**2 - 291150*z**3 + 287630*z**3 + 34 = 0. What is z?\nAnswer: -22, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4, -4*g = 2*r - 6*g + 6. Let a = 16 + r. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16465 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -21, 0.15, -2, 0.1, -11, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14159\/158746?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*q*q\/(q\/(((q\/q**(-3\/5)*q)\/q)\/q*q))*q))*q*q**(-22))\/(q\/(q\/q**(-13\/4))*q**10) assuming q is positive.\nAnswer: q**(-443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1788546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 + 29316*l - 29313*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 15*r - 15, 3*r = d - 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - -67.83. Let s = -67.999934 + l. Round s to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 + 3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 1 + 1)*(-36 - 38 + 11).\nAnswer: -63*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -996924729482 and -1?\nAnswer: 996924729481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {x: 3, e: 2, q: 13, p: 1}.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3388 and -1096.\nAnswer: 2292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -151782, -151522, -151258, -150990, -150718?\n\"Answer: 2*t**2 + 254*t - 152038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000261720697 to six decimal places.\nAnswer: -0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10300.1 - 10300. What is the closest to 3\/5 in -2, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*y + 28040, 3*y + 28012 = 7*u - 3*u. Is u*(0 - (-4)\/(-8) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -41. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/40*(-32)\/440*-5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 8*c**2 + 7*c. What are the prime factors of v(8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2203541 + 1?\nAnswer: -2203540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 + 2. Let z be y(3). Suppose 2*m + 6 = -0*m - 2*p, z*p = m - 12. Let b(q) = 2*q**2 + q - m*q**3 + q**3 + 0*q. Give b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233.7 + -234. Let t = 3.8 + -2.8. Which is the closest to 0.1? (a) v (b) 20 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -60, -5, 3 in increasing order.\nAnswer: -60, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssxiiiixixsisi?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 + 12*b**2 - 32*b + 24. Let m(g) = 5*g**3 - 12*g**2 + 33*g - 26. Let w(j) = -5*m(j) - 6*x(j). Find h, given that w(h) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 46. Sort 1, f, -5 in ascending order.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyoywuyyoofyuyufoomo. What is prob of sequence wu?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 3. Let p be w(3). Let u be 162\/p + (-4)\/14. Let q = -0.046 - 0.054. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 38*z - 57. Determine a(20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 218. Let w(m) = m + 181. Determine -4*g(o) + 3*w(o).\nAnswer: 3*o - 329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (25\/23)\/5*(-17)\/((-1190)\/28)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5496, 5503, 5514, 5529, 5548, 5571, 5598?\nAnswer: 5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25008150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -20976.7235*-2\nAnswer: 41953.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000166842 rounded to 7 decimal places?\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7. Suppose j = 5*o - 8*o + 30. Suppose -o*f + 5*f = -115. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 2*g**2 - 2*g + 1. Let d(u) = u**2 + 8*u + 3. Let q be d(-8). Suppose 3 = -q*c + 6. Does 2 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 58485*y - 58490.\nAnswer: 5*(y - 1)*(y + 11698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvgviuivgv. Give prob of sequence gii.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 214 - 46 = 0. Suppose 92 = -2*f - s. What is f rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153029, -153181, -153333, -153485, -153637?\nAnswer: -153789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -9bb?\nAnswer: 9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -3)\/12 - 5\/(-3). Suppose -q*y = y + y. Let a be (-38)\/(-14) + (-6)\/(-21). Solve y = a*b - 0*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7292?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2741.769 to the nearest integer.\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 10*i + 48 + 87 - 4*i - 185.\nAnswer: -14*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 55. Sort 2, 5, v in descending order.\nAnswer: v, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*m = 445 + 240. Solve -m*q + 742 = 762 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 14 + 11. Let j(y) = y**2 - 4*y - 3. Let r be j(m). Solve 4*i + 3*x = -32, 22 = -r*i - 4*x + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 1 (c) -14\/303 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181462627 - 90731313 + 7*s - 90731314.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-6))\/((-3 + 0)\/3). Let u(s) be the second derivative of 1\/40*s**6 - 1\/16*s**5 + 3*s + 0 + a*s**3 + 0*s**2 + 1\/24*s**4. Solve u(w) = 0 for w.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 959*y + 1914*y - 8 - 2*y**2 - 955*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20042, -40094, -60146, -80198?\n\"Answer: -20052*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*((m**(-2\/13)\/m)\/m*m)\/m*m)\/m*m*m)\/m)\/(m\/((m**(-3)*m)\/m*m))*((((m*m**(2\/7))\/m)\/m)\/m)**(-21) assuming m is positive.\nAnswer: m**(440\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156.5 - -2193443652.\nAnswer: 2193443495.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 + 2*j - 1\/15*j**3 - 1\/90*j**4 - 2\/15*j**2. Solve u(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-5)\/(-5)*0. Solve u = m + 4*m, 0 = 2*n + 3*m + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*q**3 - 296*q**2 + 316*q - 56.\nAnswer: 4*(q - 7)*(q - 1)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14816, -14790, -14746, -14702, -14676, -14686, -14750, -14886?\nAnswer: -15112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y + 1. Let i be c(-5). Let m be (-36)\/(-1) - 54\/18. Let j(b) = -m - 31 + b + 61. Determine j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2688 = 4*g, -2*z + 1850 - 512 = 5*g. What are the prime factors of z?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 1)) + (-24 - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 45*h - 67. Let z(j) = 42*j - 66. Let b(y) = -2*u(y) + 3*z(y). Factor b(f).\nAnswer: -2*(f - 16)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -579.8 - -580. Which is the fourth smallest value? (a) -4 (b) p (c) -0.1 (d) 13\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 387899816*z - 9404141703302116.\nAnswer: -4*(z + 48487477)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1246, -2588, -3928, -5266, -6602, -7936, -9268?\n\"Answer: c**2 - 1345*c + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62\/(3\/(-24)*-4). Let m = p + -8. Let d = 247 - m. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001100 (base 2) to base 14\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -579*j + 583. Give d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - 115. Let m = 93 - h. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + u**3 + 5 + 2*u**3 in the form t*u**2 + i*u**3 + s + j*u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Let y be (-2 + 3)\/(b\/(-15)). Let p be (-2)\/(y\/((-12)\/(-4))). Solve x + 1 = p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 11*f + 7*f + 5*f + 5 - 35*f in the form t*f + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 2.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 368041?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - m. Let h(k) = 4*k**2 + 3*k. Let i(v) = -h(v) - 3*o(v). Let w(j) be the second derivative of -7*j**4\/12 + 44*j. What is i(w(p))?\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -7. Let z = c + 6.8. Sort 0.1, z, 2 in increasing order.\nAnswer: z, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144448034 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*s - 36*s + 1040 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24634, 49267, 73898, 98527, 123154?\n\"Answer: -r**2 + 24636*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -79*i**3 + 2*i**2 + i + 4. Let m(g) = g**3 + g**2 + g - 1. Let z(o) = -2*m(o) + 2*q(o). Find the third derivative of z(a) wrt a.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3994 = c + 3*u, -9*u = 4*c - 6*u - 15949. List the prime factors of c.\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/624)\/((-25)\/125*5\/(-3))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589113494?\nAnswer: 2, 294556747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*c**2*u**2 + 8*c**2*u - 51*c wrt u?\nAnswer: 68*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0.4, -2473, -3\/8, 3 in increasing order.\nAnswer: -2473, -3, -3\/8, 0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5908 + -5915. Put -11, z, -14, -4 in ascending order.\nAnswer: -14, -11, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (406\/(-35))\/((-50)\/(-125))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 517, 584, 697, 856?\n\"Answer: 23*s**2 - 2*s + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812124 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 8:24 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -39812 greater than or equal to -0.012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/366)\/((-36)\/(-30)*-15)?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*s - 47658 + 47626, -t - 52 = -5*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 7 - 7*i + i. Let g(r) = 1. Calculate 6*g(h) + s(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (1 - (-1 + 10)). Suppose -3*r = -z*r. Suppose r = -h - 3. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.72*67.\nAnswer: 182.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13688, 13702, 13720, 13742, 13768, 13798, 13832?\n\"Answer: 2*d**2 + 8*d + 13678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 8. Let k be z(-6). Suppose -2 = w - k*w. Suppose y - 6 = -b, -w*y - 4*b + 3 = 1. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/58 or -0.2?\nAnswer: -9\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -555466?\nAnswer: 555455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -57*u - 2562. Let n be g(-45). Solve n*o - 3 = -3*i + 15, 0 = -3*o - 5*i + 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1559 = 4*y, 2*c = 5*y + 2649 - 683. Let b be (-15)\/10*(-5)\/((-30)\/y). Suppose -p - 29 = -b. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 3*p - 63. Solve 10*z**2 + 9*z**5 - 8*z**p + 0*z**3 - 4*z**3 - 2*z**2 - 5*z**5 = 0 for z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2335*o**3 - 2*o**2 - 44*o + 117. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -591316\/223 - -5303\/2. Find the common denominator of t and 29\/4.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - (0 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -150. Solve b*c - 17 = 3*y, 3*y - 7*y = 3*c - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 16 = 0. Suppose 5*h - a = 3*h - q, 3*h - 4*q - 12 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48589?\nAnswer: 48589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 22 + 23 - 1.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 e when four letters picked without replacement from mmdmddjdjdjde.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171523122 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -201, -175, -149, -123, -97?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/5 (c) -1 (d) 0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 2271621.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10400 and 90.\nAnswer: 93600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from {i: 3, r: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/5 - -2)\/2 - -2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/8 + 15*g**2\/4 - 567*g\/8 + 539\/2 = 0.\nAnswer: -44, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 31 - 9. Let s(w) = -4*w - 6. List the prime factors of s(h).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -6.1. Let u = -952 + 965.4. Let m = u - t. Round m to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + 11002221120122?\nAnswer: 11002221122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 23. Let q be i(13). Let f = -16 + q. Solve f*k = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z)\/(z*z\/(z\/(z*z\/z**(-2\/15)))) assuming z is positive.\nAnswer: z**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1684439, -3368876, -5053313?\n\"Answer: -1684437*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0.06 in descending order.\nAnswer: 3, 0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g**2 - 1 + 1\/5*g**5 - 2\/3*g**3 + 2*g + 0*g**4. Let y(u) be the first derivative of w(u). Suppose y(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:57 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z + 124. Let l = 7154 + -7141. What is p(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 15980*v**2 - 47905*v + 31930.\nAnswer: -5*(v - 3193)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 33 + -27 + 9\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(1664) - sqrt(1664) - sqrt(1664))\/sqrt(2) + 3.\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03946, -0.17, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 + 22*p**3 - 22*p**3 - 2*p**4 + 1 - 1 + (0*p + p + p)*(-5*p**3 + 3*p**3 + p**3) as k*p + c*p**4 + j*p**3 + u + s*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at least as big as 0.263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59539216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + 70?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 - 8.47. Let k = g - -13. Sort -0.8, k, 2 in descending order.\nAnswer: k, 2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 4 + 5 + 2*n**4 + 0 + 3*n**2 in the form r + h*n + a*n**4 + w*n**3 + o*n**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 678452654 from -5156.\nAnswer: -678457810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b**4 - 3*b**4 + 2*b**4 - 7*b**4 + 2*b**4 - b**4 + (8 + 3 - 12)*(0*b**4 - b**4 - b**4))*(-6*b + 3*b + 2*b).\nAnswer: 5*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4929*-8\nAnswer: 39432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**3\/2 - 6*z**2 - 24*z + 3. Factor s(d).\nAnswer: -3*(d + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.24 + -4.16. Let j = t - -32.4. Let n = -0.16 + 0.16. Which is the third smallest value? (a) -0.1 (b) 2 (c) j (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwyw when four letters picked without replacement from ydwwdywyyyydddd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p**2 - 42*p + 269. Give q(6).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.81 + 0.19. Sort i, -0.2, -4 in decreasing order.\nAnswer: i, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26939.21g?\nAnswer: 26939210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 417*j**3 - 14*j**2 - 10*j + 9. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-44)*168\/(-140).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10970 is divided by 2189.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 894 - 247. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((2\/1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 9*n - 3 = 0. What is the least common multiple of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0514 - -0.0028. Let n = -0.03047 - m. What is n rounded to 4 dps?\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 29418720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/360 - r**3\/3 - 3*r**2. Let z(u) be the first derivative of m(u). Let t(q) = -q**2. Calculate t(z(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76053283 and 619759.\nAnswer: 532372981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.2 (c) -0.242 (d) 4 (e) 2\/7 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*s**2 - 5359*c**2*s + 2*c**2 - 38567*c*s**2 wrt c?\nAnswer: -4*s**2 - 10718*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/192 and 87\/69460.\nAnswer: 3334080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1940506*k - 24 = 1940510*k, 4*l + 6*k = -68 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25527.3255 nanoseconds to days.\nAnswer: 0.00000000029545515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (431\/(-1724))\/(1\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/24 + ((-110)\/(-3))\/2. Find the third derivative of 14 - 76*z**3 - q*z**3 - 4*z**2 - 8*z**3 wrt z.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d487 (base 16) in base 10?\nAnswer: 447623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 12372917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2798544 and 378.\nAnswer: 25186896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/((-2)\/6). Suppose 0 = -7*y + 2*y + 15. What is the third derivative of -2*b**y - 2*b**3 - 3*b**t + 3*b**3 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.4 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/50 - l**4\/15 + 7*l**3\/15 - 4*l**2\/5 - 10*l. What is b in x(b) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d + 28*d = 54*d - 105. Is d < -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2481654235 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -121.8\nAnswer: -36.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 12 = 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**3*t - 2022*i**3 - 2*i**2*t - 5*i**2 + 4279907*i*t wrt i?\nAnswer: -42*i*t - 12132*i - 4*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 6. Let x(o) = -10*o**2 + 62*o - 62. Let h(p) = -62*m(p) - 6*x(p). Let i(n) = 2*n**2 + 307*n + 3. What is i(h(t))?\nAnswer: 8*t**4 - 614*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 + 4*b**5 + 2*b + 0*b**5 + (-6*b**4 - b**4 + 5*b**4)*(b - 4 + 4) - 78*b**5 + 2284*b**4 - 2284*b**4.\nAnswer: -81*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 38. What is the greatest common divisor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 105 and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 25915904.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.2, 3.52, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282399 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33831.29mm to meters.\nAnswer: 33.83129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 7 + 6 = -p, -k + 25 = -3*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v - 2*v + (-6 + 1 + 3)*(1 + 0 + 1)*(13*v - 8*v + 7*v).\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -135620875 < -135620873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**30\/((n*(n\/(((n\/(n\/(n\/n**32)))\/n)\/n))\/n*n*n*n*n)\/n))\/(n*n**(4\/13)*n*n**33))**(11\/6) assuming n is positive.\nAnswer: n**(-3025\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*q = 18959, 3*q = -4*t + 12096 + 6849. Is 139 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/9 and (-164)\/51*26\/520.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/8)\/((-1)\/(-4)). Let a be 0 - o - (-2 + -1). Let d(w) = -w**2 - 2*w - w - 2 - a*w. Determine d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14196 and 1859.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 1\/1848*w**8 - 1\/330*w**6 + 0*w**5 + 0*w**4 + 0 + 0*w + 1\/1155*w**7 - 9*w**2 + 0*w**3. Factor b(r).\nAnswer: 2*r**3*(r - 1)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1067 - -1080. Calculate the remainder when 86 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 1. Let l be q(-4). Suppose 0 = -t - 5 + 7. Let k be (4 + -4)\/1 + t. Solve k = l*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.06 (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/5 - 1334*n**2. Let m(y) = -3*y**2 + 6. Determine m(d(p)).\nAnswer: -432*p**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 2. What is the third derivative of 4*n + 3*n**6 + 5*n**2 - 4*n - 2*n**r wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 320 = 7*d. Suppose -113 = -5*c + a - 5, 3*c = 3*a + 60. Calculate the remainder when d is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10\/s**(-1\/8)*(s\/(s*s*s**(1\/2)*s))**(2\/51) assuming s is positive.\nAnswer: s**(4091\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1785*d**4 + 0*d + 3533*d**4 - 9*d**3 - 1750*d**4 + 2*d + 324*d**2 + 2 as g*d + c*d**4 + r + z*d**3 + y*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8468*j**4 + 12606*j**2?\nAnswer: -203232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623749957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36030961 is divided by 97.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4165755.\nAnswer: 2\/4165755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3697 = -4*c - 3687, 4*c - 6 = b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183*j = -1176*j - 3136. Which is greater: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let p(x) = 24*x - 2. Let y(a) = 16*a - 1. Let g(w) = 5*p(w) - 8*y(w). Let b be g(-1). Solve -f*r = 2 + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 385280633 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26016 divided by -3252.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 102. List the prime factors of x.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18669992 divided by -352264?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -134\/3 at least -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59\/5 - 153\/10. Let p = 31\/6 + w. Let n = 3 - 5. Which is the second biggest value? (a) p (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 14*s**2 + 30*s - 36. What is r(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 54 = i + 3*i, -3*i = 3. Does 14 divide (1 + -6)\/((-1)\/x) - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64195*s**3*y**2 + 108*s**3*y - 32*s**2*y**2 + 11099*s**2*y + 5*s*y + 6*y**2 wrt y.\nAnswer: -128390*s**3 - 64*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5772, 5690, 5608?\n\"Answer: -82*c + 5854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 203, 482, 761, 1040, 1319, 1598?\n\"Answer: 279*r - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37723826 divided by 42434?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4807251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2. Let w be 9\/1*(-77)\/(-21). Let n = w + 7. Let y(g) = -40 + n + 13*g. Determine y(c(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 4500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 - 2 = 0. Suppose 0 = o*v - 6 - 6. Suppose -v = -j + 8. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 r, and 1 w when four letters picked without replacement from wrvjlvr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -388, -390, -392, -394?\n\"Answer: -2*l - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2994, 24076, 81304, 192756, 376510, 650644, 1033236?\n\"Answer: 3013*z**3 - 5*z**2 + 6*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 + 64\/48. Find the common denominator of (q + (-17)\/2)*(-25)\/(-10) and -65\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6953845 is divided by 3291?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*q - 3883*q**2 - 73*q + 25*q + 22*q in the form v + o*q + w*q**2 and give w.\nAnswer: -3883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/2, 3\/5, 98?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -709 - 1086. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 2*f + 12*x - 14*x + 50, -40 = -2*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 4*j**2 - 5. Let c be k(-4). Let q(m) = -2*m - 7. Let i be q(c). Suppose 5*s - 10 = 4*d, -2*s + d + 4 - 3 = 0. Sort s, 5, i.\nAnswer: s, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d = -2*n + 4, -5*d = 0. What is the biggest value in -8, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.253 - 0.68. What is s rounded to two decimal places?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/34)\/(i\/(i*i**(-9)\/i*i)))\/(i\/i**18*i)**(-2\/15) assuming i is positive.\nAnswer: i**(-5693\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 13563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*t = o + 87, -t + 44 = o. Let p(k) = 18*k**2 + 5*k**3 - 6*k**3 + 21*k + 7 + 0. Let s be p(19). What is the greatest common factor of o and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00304 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f - 8. Let t be p(-6). Let j = t + 111. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/8*(-8)\/(-12). Let l = 2.25 + -0.35. Let n = 2 - l. Which is the nearest to j? (a) n (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*j - 2*j - 587, -5*j = 3*b + 893. Let l = b - -313. Solve l*x = 15*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*6 + sqrt(5))**2 + sqrt(5) + sqrt(245) + 1 - ((-1 + sqrt(5))*2 + sqrt(5) - -3*sqrt(80))**2.\nAnswer: 68*sqrt(5) + 677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 86. Suppose r - 2*m - 15 = t, 4*r - 10 = -3*m - 5. Solve -r = 2*p + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26607300 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 425 (base 6) to base 10\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 12. Let i(q) = -3*q**2 - 2*q**s - 11*q + 4*q**2 - 14. Let l be i(-6). Sort 5, l, 3.\nAnswer: 3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 9) to base 14\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(0*b - 17*b - 50*b) + (1 + 1 - 1)*(2*b**2 + b**2 - b**2).\nAnswer: 136*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*q - 1387 = -50*q - 10925 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2)*2\/10. Let w(j) = -6*j - 13. Let v be w(-4). Suppose v*g = 15*g. Is q equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.3. Let i = -0.038 - -3.038. What is the nearest to 1\/2 in m, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-27)*9*(-14)\/84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3294524 is divided by 975?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 6, -1\/3, 5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.16 + 2. Let q = -93.8 + 94. Let r = o + q. What is r rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1.77, -18\/19, 0.3, 3, 0.5, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c + t, 3*c + 1 = 4*t + t. Let j be 12*(c - 8\/(-3)). Let p = 16 - j. Solve -r - 5 = 5*z, 0 = -4*z - 3*r + p - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -61*m**2 + 5*m - 11. Let v(p) = -12*p**2 + p - 2. Determine -2*k(x) + 11*v(x).\nAnswer: -10*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119.67 rounded to the nearest 10?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14)**(-5)\/((s\/s**(-18))\/s*s\/((s\/(s**(-6\/11)\/s))\/s)) assuming s is positive.\nAnswer: s**(-962\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -3\/2, -0.1780627, 4\/3, -12\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7065, -14156, -21247, -28338?\n\"Answer: -7091*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -15\/581 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5577*w**2 - 11151*w**2 - 372*w**3 + 5574*w**2.\nAnswer: -372*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/2 + 6\/(-12)*-1. Suppose 3*q - 5*q = 4, -k*y = 2*q + 4. Suppose 0 = 5*a + 3*l - 108, 5*l = -y*a + 4*a - 116. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7582442, 5.\nAnswer: 1, 5, 7582442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -682, -1339, -1996, -2653, -3310?\n\"Answer: -657*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -2 - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -37. Let l be (-4)\/(-2)*c\/11. Suppose -l*j = -12 - 0. Solve -f = -j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 9. Let c be k(6). Let s be (-4)\/(-3) - (480\/(-72) + 7). What is the derivative of s + c*v + 8 + v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - 5*t**2 + 10*t - 40. Let a(z) = -z**2 + 2*z - 8. Let u(x) = -5*a(x) + i(x). Let l(o) = o**3. Give -17*l(g) + 6*u(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and 79\/164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966542 - 2388529 - 1954444 = -27*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.41, 2, -17.9?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44471382 and 177885528?\nAnswer: 177885528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-14))\/((-64)\/112).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50199 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*f**2*y**3 - 74874*f**2*y - 2*f*y**2 - 16*y**3 - 3*y**2 wrt y.\nAnswer: 492*f**2*y - 4*f - 96*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1083*t**4*w + 33819*t**2 - 1409*t*w - 8*t - 2*w + 10 wrt t.\nAnswer: -12996*t**2*w + 67638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 48, 62, 60, 30, -40?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/63817 and -47\/8599.\nAnswer: 548762383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -5 (c) 2 (d) 14118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 35*o + 24*o)*(-5*o - 3*o + 4*o + (-3 + 3 + 2)*(-o + o - 2*o)).\nAnswer: -456*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 94*k**4\/9 - 9872*k**3\/3 + 1018556*k**2\/3 - 103723984*k\/9 + 2202746\/3 = 0. Calculate k.\nAnswer: 3\/47, 91, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21381 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 112. Solve 0*n - l = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 8.1, 0.4, 2, 6\/7?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21055715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*r - 182 = 403 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -434, -448, -478, -530, -610, -724, -878, -1078?\n\"Answer: -p**3 - 2*p**2 - p - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1\/8, 0.068, -5?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**3 + 3*x**2 - 3*x + 1. Calculate o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077 = -1340*c - 39123 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/13, 4, -9?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*n - 189 = -381 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = i - 56, -3*i + 156 = 2*m - 26. Solve 155*z - i = 143*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, d: 5, j: 2}. What is prob of sequence dj?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 419*x - 7 + 458*x - 8365*x**3 - 94*x**2 - 88*x + 95*x**2 wrt x.\nAnswer: -50190*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1264 - 1261.13. Let i = f - 8.87. Let r = -1 + 2. Sort 2, r, i in descending order.\nAnswer: 2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4.6423 and 0.03 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 509 + 99. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6275442377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2946 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/4 - 4*d**2 - 3*d = 0.\nAnswer: -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -223131 (base 7) in base 8?\nAnswer: -115134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12992 and 2268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/3 + 20*a**3\/3 + 82*a**2 + 460*a\/3 - 725\/3 = 0. What is a?\nAnswer: -5, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 10, 2.9, 0.03, -2 in increasing order.\nAnswer: -2, -0.02, 0.03, 2.9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/60 - i**4\/6 - 2*i**3 - 11*i**2. Factor m(f).\nAnswer: (f - 6)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-44)*(-4 - 28\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6976 divided by 1744?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 - 7.3. Let f = 1.5 - 1. What is the third biggest value in s, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-39))\/(2\/18). Let p(v) = v**3 - v**2 - 6*v - 7. Let r be p(a). Suppose -391 = -3*x + 2*d, x - 2*x = d - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6985.\nAnswer: 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 38366.05 millennia?\nAnswer: 383660.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from kqdxxdxdpdfxqpddx.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Suppose -26 = 14*q - 15*q. Let m = q - o. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154365.2 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**2 - 3*d**2 + 13*d**3 + 0*d**2 + 5*d**2 wrt d?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -0.18. Let q = 0.04 - -0.26. Let t = -26 - -25.9. What is the nearest to t in q, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(0*c - 11 + 13 + 3*c) to the form a*c + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and ((-40)\/14)\/((-325)\/54600)?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - 2*a**5 + 0*a**5 + (7*a**3 - 3*a**3 - 2*a**3)*(-9*a**2 - 7*a**2 + 3*a**2).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 1, j: 9, a: 7, b: 1}. What is prob of sequence wb?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 312 + 1b212?\nAnswer: 1b524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {v: 1, c: 4, b: 2, y: 2, m: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -2, -4 in descending order.\nAnswer: 4, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(176)\/sqrt(4) - sqrt(44)\/sqrt(16)) + (sqrt(99) + 1*sqrt(99))\/sqrt(9) + sqrt(11) + (sqrt(44))**2 + 1.\nAnswer: 11*sqrt(11)\/2 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/4200 and -139\/4200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -272, 0, -2 in increasing order.\nAnswer: -272, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0*y**2 - 7*y**2)*(249 - 15 + 111) in the form u + f*y**2 + r*y and give f.\nAnswer: -1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*i + 286*i + 206*i + 476*i + 158*i.\nAnswer: 963*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 736 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - g + 6*g + 21 = 0, -q + 3*g + 3 = 0. Find the common denominator of (2 + -39)*9\/(-18) and (q\/(-16))\/(18\/(-196)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(7 - 93\/12). Which is the nearest to 2\/3? (a) -1 (b) 555 (c) t (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4 - 6 + 4 + h. Let k be l(2). Let i be ((-250)\/6)\/(k\/(-864)). Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 6*f**2 - 4*f + 4. Give r(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*z - 4*z - 574, 867 = 3*g - 4*z. Solve g*o - 299*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/6 (b) -0.4 (c) 6\/11 (d) 0.1 (e) -0.5 (f) -108.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213112 + 23123130?\nAnswer: 20310012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 228, -3\/5, -1\/39, 4?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x. Suppose -4*f - 5*t + 9 + 3 = 0, 0 = 4*f - 5*t + 28. Let m(l) = l. Give f*d(w) - 9*m(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -0.112. Let q = 34.048 + z. Let f = q + -33.8. Which is the third smallest value? (a) f (b) 2\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2\/3, 3\/2, -3\/497?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 2*i, 6*i - 2*i - 20 = -2*f. Let g = 82 - 161\/2. Which is the second biggest value? (a) g (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = -2*c, 0 = 5*s + c - 9 + 2. Suppose -s*a - 15 = 3*a. List the prime factors of (1 - -1)\/(a\/(-21)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 6*a - 48 = 0. Let h = a - -16. Suppose 8 - h - x**4 + 2*x**3 - x**2 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -33.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408528293 to the nearest integer?\nAnswer: 20212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589071 + -306710. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7267)\/26)\/(3\/2). Let m = -185 - b. Factor 0 + m*t**3 + 0*t + 2*t**2 - 10\/3*t**4.\nAnswer: -2*t**2*(t - 1)*(5*t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-7)\/35*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1244846250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/72*-8)\/((-6)\/(-54)). Which is the closest to -0.1? (a) 0.24 (b) 1\/7 (c) p (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9*(-1 - 2). Let x(w) = w**2 + 3*w - 2. What is x(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-18)*b**(1\/3))\/((b\/(b\/(b*b**(-2))))\/b**(-12)) assuming b is positive.\nAnswer: b**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 123 - 35 = 0. List the prime factors of j.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 12 = -4*w. Calculate the lowest common multiple of 4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-328)\/(-41))\/(5692\/(-1900) - -3) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-14) - (-6)\/21. Suppose 0 = 3*v - 2*v - r. Suppose 4 = d + v. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 30, -22243 in increasing order.\nAnswer: -22243, 0, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.78 + -0.22. What is the nearest to x in 0.2, -1, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus 3781304234?\nAnswer: 3781304215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -17*s + 631 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24442162?\nAnswer: 2, 47, 260023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -91*r**2 + 0 + 0*r**3 + 136*r + 107\/6*r**4. Differentiate g(i) with respect to i.\nAnswer: 428*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -30. List the prime factors of (-28)\/h*(1 + -6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 13951 - 13951 - 16*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 + 53 = -3*y. Find the first derivative of 6*b + 6 + y*b - 10 - 10 wrt b.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61934684.\nAnswer: 2, 7, 2211953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.8. Let i = -136 + 677\/5. Let s = 1.02 + 0.98. Which is the third smallest value? (a) y (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95148 and 713610?\nAnswer: 1427220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwf when three letters picked without replacement from haxxhmwhhhfhhwf?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 968602 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826 a factor of 179372915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148\/855 + -14\/285. Which is the nearest to 1? (a) 34 (b) -0.21 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19691137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35135 - -35156. Let k(a) = -32*a**3 + 4*a + 3. Calculate the remainder when k(-2) is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -874 - -3812. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1160*1*42\/105. Which is the nearest to -1? (a) 2\/9 (b) n (c) -3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 5, -2\/31, -3\/8, -2\/3 in decreasing order.\nAnswer: 5, 1\/5, -2\/31, -3\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/3)*d\/(d**(-2)*d))**(-38)\/(((d*((d**(1\/4)*d)\/d)\/d)\/d)**29)**(-50) assuming d is positive.\nAnswer: d**(-7285\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 9 - 10\/3*y**2 + 1\/3*y**4 - 4\/3*y**3 - 8\/3*y + 4\/15*y**5. Factor h(w).\nAnswer: 4*(w - 2)*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2*f**2 - 3*f**2 + 3*f**2) - 3*f**2 - f**2 + 2 + 6*f**2 + (5 - 2*f**2 - 5)*(4 - 7 + 6).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -34*x. Let m(i) = 3079139*i**2. Calculate v(m(g)).\nAnswer: -104690726*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, 1254, 3171, 6920, 13113, 22362, 35279?\nAnswer: 52476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, 466, 0, -4 in decreasing order.\nAnswer: 466, 18, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14983*v**3 + 14983*v**3 - 1634*v**4 - 2*v**4 - v**4 + 2*v**4 + (2*v - 5 + 5)*(-2*v**3 - 3*v**2 + 3*v**2).\nAnswer: -1639*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -15 - -31) + (-23 - -2) + -29?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 53*p - 33 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-28 + 63 - 16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 291 = -843. Suppose -2*q = 2*i - k, -5*q + 535 = i - 155. Let u = -78 + q. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57999 + -58324.53. Let g = r - -328. Round g to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24843 and 4488939.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*r**3*x**2 - 6934*r**3*x + 5*r**2*x - 574*r*x**5 wrt x?\nAnswer: 258*r**3 - 11480*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1\/16))**(-18))**(3\/16) assuming t is positive.\nAnswer: t**(-891\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -11.1049.\nAnswer: 62.8951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2 - 1) - 0. Suppose 3*w - 7 + 3 = 2*o, x = -2*o - 2*w + 6. Put o, -3, 0 in increasing order.\nAnswer: -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 2*c**2 - c + 1. Let o be x(2). Let t = -8.6 + 9. Let p = 5\/39 + 92\/195. What is the closest to 3\/5 in t, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -836?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*d + 149*d = 60. Solve 3*c - d = -3*f, f = -0*c + 2*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 + -128. Let m(d) = 1332*d - 5278. What is the remainder when n is divided by m(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64.872333 microseconds?\nAnswer: 0.0000000180200925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 - 6*k + 1. Let g(l) = l**3 - 9*l**2 + 9*l - 5. Let f be g(8). Calculate the remainder when (4 + 0 + -5)*-18 is divided by t(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 4 + 4)*(-2 + 0 - 1) - 1 + 3 - 3)*(f**2 + f**2 - 4*f**2) + 15*f - 15*f - 5*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21*(-3)\/(-6)*(-4 - -14). What is the highest common divisor of u and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4 (c) -4\/679 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose -4*u = i - 5*i - 20, -l*u - 4 = 4*i. List the prime factors of (-1)\/u*-34 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 831*o**2 + 169*o**2 - 5*o**3 + 1634 - 247*o - 389 + 2732*o + 235*o**2 = 0?\nAnswer: -1, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 5, t: 1, w: 3, s: 3, v: 1}. Give prob of picking 1 w and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 772.26.\nAnswer: 771.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53350717 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2. Let k(o) = -12 + 5*o - 19 - 4*o + 32. Let x(t) = -18*t - 12. Let h(g) = -12*k(g) - x(g). What is j(h(z))?\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/12 - 17*h**3\/6 - 38*h**2 + 13299*h. Give y(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*r = 2*m - 19, 0 = 4*m + r. Let s be 3\/(m - (-7)\/(-2)). Let v = 0.1 + -0.1. Which is greater: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185 + -113. Calculate the remainder when 357 is divided by x.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*k - 17*k**2 + 15*k**4 + 308*k + 93*k + 42*k**2 wrt k.\nAnswer: 180*k**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 7806?\nAnswer: 15612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 37, 78, 153, 274, 453, 702?\n\"Answer: 2*d**3 - d**2 + 8*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 126*c**2 - 89*c + 1500. What are the prime factors of i(14)?\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -196. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-10))\/(-3))\/(1\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 - l**2 + (-5*l + 5*l - l**2)*(0 + 4 - 2) - 4*l**2 + 0*l**2 + 5*l**2 + (19*l + 359 - 359)*(-41 - 10*l + 41).\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17317773 to the power of 1\/2, to the nearest integer?\nAnswer: 4161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4204336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 88. Suppose -x = 3*x - 20. Let b = 7 - x. Calculate the greatest common divisor of b and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + v = 2*s - 175, -s + 2*v + 35 = 0. Let z(n) = -3*n - 9. Let w be z(-4). Let j = w + s. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 11 = 3*v, -4*v + 4*f + 12 = -0*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/3 + 11*c**2\/2 - 58*c. Suppose -u + 0*g = -3*g + 23, 0 = -u - 3*g + 7. List the prime factors of v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32235 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -21*n - 3. Let s be z(-3). Suppose y = -4*y + s. Calculate the least common multiple of 11 and y\/(-10)*(-20)\/3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76287 by 4982.\nAnswer: 76287\/4982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3556 divided by -4.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 2, b: 2, r: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3237 (base 8) to base 5\nAnswer: -23240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53208*k**3*m - 11*k**2*m - 2501 wrt k.\nAnswer: 319248*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*0.0360865.\nAnswer: -3.5725635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100000101010111 (base 2) in base 6?\nAnswer: 20144223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-1)\/(3\/3). Let f(w) be the second derivative of -2*w - w**2 + 1\/2*w**3 - 1\/8*w**4 + n + 1\/80*w**5. Let f(b) = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*d**3 - 68*d**2 + 314*d - 60 = 0. Calculate d.\nAnswer: -10, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222.7052km to meters.\nAnswer: 222705.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*3\/(-45))\/((-10)\/(-150)). Let t(j) = -j + 3*j + 4 - 3. Calculate t(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 50*u**2 - u**3 - 38*u**2 + (0*u + u + 3*u)*(-8*u**2 + 104 - 104).\nAnswer: -33*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/9, 5\/3, -1950 in descending order.\nAnswer: 5\/3, 3\/2, -2\/9, -1950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 3365856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 take away 15?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7222279*p**3 - 1344450*p + 1 wrt p?\nAnswer: 43333674*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21298, 42246, 63194, 84142, 105090, 126038?\n\"Answer: 20948*y + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -134 in 1\/5, 1\/10, 1\/9, 38\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w**3 - 4*w**2 - 4*w**2 - w**4 - 22*w**3 + w - 2*w - w**4 to the form c*w + p*w**3 + f*w**4 + g + b*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 2) + (-18 + 24 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-40)\/(-12))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484683 bigger than 8484686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 420\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 3. What is v(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190871.\nAnswer: 19, 115309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 13. Let x = -18 + s. Suppose -360*j + 161 = -353*j. Is j not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, k: 5, c: 8}. What is prob of picking 4 c?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*q*x + 9*h*q - 706*h*x**3 - 55*q*x**3 - 361*x**3 with respect to h.\nAnswer: 2*q*x + 9*q - 706*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -324, -648, -986, -1344, -1728, -2144, -2598, -3096?\n\"Answer: -t**3 - t**2 - 314*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*a - 3535 = -445*a. What is the lowest common multiple of 40 and a?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 11:49 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 4. Let p be i(-2). What is the smallest common multiple of (-175)\/(-15) - p\/6 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - 1\/(-18)*-2742. Let a be 1\/(-5) + -6 + p\/(-15). Suppose -h = 2*h - 24. Solve a*c = h + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**4 - 5*n + 3. Let t(c) = -c + 1. Let w be (-4 - -3)*1 + 2. Let p(g) = w*o(g) - 3*t(g). What is the second derivative of p(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrzzr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/9)\/(14\/3)*21. Suppose 5*h = t + 216178, x*h + 2*t + 86476 = 8*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/31 + -25\/93. Let j = -934.32 - -16.32. Let m = 919 + j. Which is the nearest to s? (a) 5 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1\/8)))\/(z\/(z**6\/z)*z))\/(z\/(z\/(z*z\/(z\/(z\/z**2*z*z)))))**(-10) assuming z is positive.\nAnswer: z**(183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20316 + -20319. What is the nearest to -3\/5 in 0.4, -61, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 4*p + 32. Let g(t) = 2*t + 8. Let n be g(p). Let s be ((-54)\/n)\/9*16. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q = -5*g + 89*q + 17, -6*g - 2*q = -26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 115. Determine b(-8).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v - 448. What is n(27)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6770.23 days to microseconds.\nAnswer: 584947872000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*p + 654*p - 331*p - 8*p**2 + 4*p**3 + 4*p**4 = 0. What is p?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-818 + (1 - 1))\/(-2). Let l = -756 - -501. Let t = l + o. What is the remainder when t is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 + 2*w + 1. Let c(t) = 1415*t**4 - 6*t**3 - 113*t**2 + 12*t + 6. Let r(x) = -c(x) + 6*d(x). What is the third derivative of r(s) wrt s?\nAnswer: -33960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - t = 13*j + 541, 0 = -j + 4*t + 124. What is the remainder when j is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 0*r**2 - 129*r + 508*r - 130*r - 29 - 249*r.\nAnswer: 2*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -933 in 3, 0.01, 0.211, 1\/2, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298954216.\nAnswer: 2, 11, 47, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + 0.18. Let n = p + 3. What is the closest to -0.1 in n, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 9*u**2 + 10*u + 1. Suppose 28*j - 21*j = 49. Is a(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -15. Suppose -5*g - d = -g. What is the closest to 1 in 0.3, -0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18625 and 0.3.\nAnswer: -18624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 777 + 912, 5*f = 4*w + 93 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 15) in base 2?\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**3 + 974*m**2 + 364*m - 184.\nAnswer: (m + 46)*(3*m + 2)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -49. Which is the third smallest value? (a) -0.4 (b) q (c) -0.1 (d) 3\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 755137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f - 5 - 4 - 1 - 1. Is o(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5)\/(p*p*p\/p**9)*p**(-1\/3)*p*p**(-22) assuming p is positive.\nAnswer: p**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109584 - -67503769\/616. Let m = b + -1\/44. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 16 + 936. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*c - c - 22 = 0, -4*o + 3*c = -58. Suppose 17*s - 9 = o*s. Find the second derivative of -s*j - 4*j**4 + 14*j + j**4 + 17*j wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 554 = -589 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146071667 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmh when three letters picked without replacement from hmhmlmhhmhml?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -49652615694?\nAnswer: -49652615694.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1239\/42)\/(21\/6)*(-84)\/12.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5365 = 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851027?\nAnswer: 127, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 649739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 112. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 341743322 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82838 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 57.8, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*j + 24, j - 5*j = s - 17. Suppose -28*t + 25*t + 4*x + 3563 = 0, 1191 = t - j*x. List the prime factors of t.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8153, -16028, -23581, -30812, -37721, -44308, -50573?\n\"Answer: 161*a**2 - 8358*a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 25*s + 948. What is the tens digit of v(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:47 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.54 (c) -5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -2\/5, -69?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25472 divided by -398\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/151*1*-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(-77 - 4 - 26)*(2*s**4 + 0*s**4 - s**4) to the form j*s**4 + t*s**3 + l*s**2 + r*s + u and give j.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 21. What is x(33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329 and 1594992?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12262 and 3077161162.\nAnswer: 12262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:10 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 3, 89, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.5 - 21.8. Let j(v) = 26*v - 1. Let h be j(1). Suppose -h = 7*y - 12*y. Which is the third biggest value? (a) d (b) -3\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/4*-4. Let g be (-12)\/(-18)*225\/p. Let o = g - -28. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttdtdmttltl. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 2*t**3 + 4*t**3)*((-17*t - 19*t + 8*t)*(-5 + 5 + t) - 2*t**2 - 3*t**2 + 3*t**2).\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152283305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8736 divided by -104?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574491 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, a: 1, z: 6}. Give prob of picking 1 a, 2 z, and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29133 divided by 165?\nAnswer: -9711\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -51345 (base 9) in base 6?\nAnswer: -420322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172*r**4 - 2*r**3 - 15*r**2 - 1494*r wrt r?\nAnswer: -2064*r**2 - 12*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/3)\/(6\/9). Let d = k + -15\/2. Is -1\/4 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 6*s + 4. Let q(t) = -11*t - 5. Let d(v) = -v - 1. Let p(b) = 3*d(b) - q(b). Let u be p(-2). Let n be 7\/(u\/(-16)) + -4. What is y(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -661, 2\/3, 0.3, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 80028\/1531?\nAnswer: 80028\/1531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2406 to 1 decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 11*d**3\/3 + 3*d**2\/2 + 6*d - 55. Let y(j) = -21*j - 2. Give -2*g(x) - 3*y(x).\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 54*m + 655. Give u(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -18 - 29) + 20. Solve 0*d + 3*d + t = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.2. Let k = -145 - -150. Let s(l) = 2*l + 38. Let h be s(-17). What is the closest to t in -3, h, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -1618, -1, 991 in descending order.\nAnswer: 991, 4, 2, -1, -4, -1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5 + 1. What are the prime factors of v\/(-1) + -1 - -16?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27841 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481271 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 127. Suppose 3*j = j + 4*i - 6, 2*i = 8. Sort -1, -0.4, x, j in decreasing order.\nAnswer: j, x, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -2998827737.989.\nAnswer: -2998827737.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10565.736s?\nAnswer: 176.0956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6607405, 6607406, 6607407, 6607408, 6607409, 6607410?\n\"Answer: y + 6607404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 - 661*l\/6 + 1921.\nAnswer: -(l - 17)*(l + 678)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 - -633. Suppose 4*z = 5*s + t, 7*s = 4*s + 6. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 70818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 72 - 24. Let g be ((-831)\/(-33) - 4\/22) + 2. Let c = 7 + g. What is the remainder when c is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -51. Suppose 10*h = 6 - d. Let k = 1 + 2. What is the biggest value in -2\/11, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 3) + -5 + 85 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-24)*-3*0. Suppose r = -3*c - 2*c + 10. Suppose c = 3*s - 5*z - 4, 6 = 3*s + 5*z. Solve -3 - s = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6308*o*z + 50932*o + 3077*z - 1959 wrt z?\nAnswer: -6308*o + 3077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(48*z - 1304 + 1304).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 e when four letters picked without replacement from leellenelhel?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 2*s + s)*(2*s - s - 2*s)*(2 - 1 + 1)*(8 + 3 + 1) in the form o + l*s**2 + v*s and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 29\/2 (c) -1\/6 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1320, -5, 5 in ascending order.\nAnswer: -1320, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwippipiiwi. Give prob of picking 1 w and 3 p.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -23254247?\nAnswer: -23254226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.09 + -21.71. Let b = i - -190.8. Let k = -167.99999726 + b. Round k to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 12. Let b(p) = 1. Let z(h) = 12*b(h) + r(h). Let n(a) = 606*a. Determine z(n(k)).\nAnswer: -1212*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**5 + 4*a**4 + 4*a**3.\nAnswer: -4*a**3*(a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-30))\/(((-8)\/(-2))\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b - 8. Let t be l(8). Let w = t - 32. Let r be (-6)\/w + 7\/4. Solve -i - 1 = -u - 4, -5*u = -r*i + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2d81?\nAnswer: -2d83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + (17 - 1144\/(-130)))*(-80)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3376*i - 3530 = 3374*i. What are the prime factors of i?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -164, -285, -426, -581, -744, -909, -1070?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/104103 and -1\/999873.\nAnswer: 42994539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000211110 - -200122012?\nAnswer: 1201110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 16*i**2 + 10*i + 20. Suppose 110 = 2*t - 7*t. Let o = t - -7. Is c(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**1\/r))\/r*r*r)**(1\/38))**(-50) assuming r is positive.\nAnswer: r**(-50\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18487 is divided by 9195.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6167 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4461 (base 10) to base 11\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8)*z\/(z*z**(-5\/6))*(z*z**13\/z)**32 assuming z is positive.\nAnswer: z**(2453\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 941\/30 + -63\/2. Put -1, 40, h, 3 in increasing order.\nAnswer: -1, h, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, 1, 307, 9 in decreasing order.\nAnswer: 307, 9, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 - k + 2. Let i be a(1). Solve 5*t = -o - 12, o - i = -2*t + 6*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 26*p**2 - 9*p + 41. What is the remainder when f(2) is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 420 + -423. What is the tens digit of d*(-24)\/(-54)*10548\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let l(o) = -5*o**2 - 26*o - 669. Determine l(u(k)).\nAnswer: -20*k**2 + 52*k - 669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26369, -26049, -25729, -25409, -25089?\n\"Answer: 320*g - 26689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -5 - (22\/2 + -13). Solve -4*k - 3*z + 5*z = v, -k + z = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*o - 16240002 = 0, 3*o = 7*c - 4*c + 12180003. What is c rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -1515\nAnswer: -3\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)*k*k*k**(-2\/7)*k)**45 assuming k is positive.\nAnswer: k**(1044\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189782, -379560, -569338, -759116, -948894?\nAnswer: -1138672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.975 less than -647907490?\nAnswer: -647907557.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 3*y + 1. Let v = 6 + 7. Let x = 14 - v. Let d be i(x). Which is bigger: -4\/5 or d?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/3)*s)\/s**20)\/(s**10)**37 assuming s is positive.\nAnswer: s**(-1162\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 + 10\/3. Solve -5*r + 2 = -f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcvv when four letters picked without replacement from {b: 2, v: 3, c: 1, a: 3, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 0*y. Let k(h) = 3*h**2 - 32*h - 6. Let x be k(11). Suppose -3 = -4*v + 5. Solve -v*u - x = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*z**2 + 2*a**2*z - 2*a**2 - 2342*a - 27542*z**5 + 2*z wrt z.\nAnswer: -2*a**2 - 550840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 5*f**2 + 0 + 4\/21*f**3 + 0*f - 1\/21*f**4 + 1\/210*f**5. Suppose u(q) = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*g - 215 - 318, -4*d - 3*g = -448. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 35 - 1 = 0. Let f(v) = v**2 - 23*v - 286. Let w be f(-9). What is the third derivative of -j*t**5 - 7*t**w + 36*t**2 - 18*t**2 wrt t?\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13. Let m(t) = -2536*t - 2279. Let r(x) = 6*f(x) + m(x). Find the first derivative of r(g) wrt g.\nAnswer: -2536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294848015?\nAnswer: 5, 7, 11, 41, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 24*x**3 + 32*x**2 + 96*x - 160.\nAnswer: 2*(x - 10)*(x - 2)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 2. Let k(v) = v + 45. Let a(w) = -k(w) + 3*p(w). Give a(27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - h**2. Let f(r) = 3*r**3 - 5*r**2 + r + 5. Calculate f(q) - 5*g(q).\nAnswer: -7*q**3 + q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -23354\/69007?\nAnswer: -23354\/69007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.44 + -29.44. Let k = o - -26. Which is the nearest to 0.1? (a) 3\/4 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/(-63)*(-9)\/2*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19134 = -k - 40*g + 19355, -6 = -k + 3*g for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4691068679.\nAnswer: 11, 191, 2232779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -929*i + 5. Let y be t(4). Let s = 22343\/6 + y. Calculate the common denominator of s and 2\/12*5\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 - 134.5. Let l = o - 36. What is the closest to 0.2 in 1\/5, l, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*3\/21)\/((-18)\/(-14))*-3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*r**4 - 32\/5*r - 2*r**3 - 44\/5*r**2.\nAnswer: 2*r*(r - 8)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -1734, -6028, -14392, -28182, -48754, -77464?\nAnswer: -115668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -99 + (0 + 2 - 0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 - 8*s + 6. Let b be z(6). Suppose 6*r - 35 = 11*r. Are r and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*k - 5 = 0, 40 = -4*x + k + 3*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22607 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/45 and 67\/1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/4, 3, -4\/13 in increasing order.\nAnswer: -8, -4\/13, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/13)*g**6)**(-1\/17))**(-13\/3) assuming g is positive.\nAnswer: g**(25\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-789*s**2 - 170*s**2 + 74*s**2)*(2*s - 3*s + 4*s) as f*s**2 + q + i*s + h*s**3 and give h.\nAnswer: -2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from yzbpplp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-1)\/8*-55018. Let g = 9509 + i. Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 8*x + 2. Let v = -13 + 21. Let n be a(v). Suppose 0 = -4*m + o + 230, n*m - o + 55 = 3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 - (-11 - -7 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -24.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26146 + -130808\/5. Do h and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*w + 22149 = 22269 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3\/7 - 1040*x**2\/7 + 684*x\/7 + 344\/7.\nAnswer: 4*(x - 86)*(x - 1)*(3*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 1 = -566. Suppose 0 = -7*x + 31 + d. Let q = -12 + x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/18872000 and 44\/7077.\nAnswer: 56616000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*(-22)\/(924\/(-63))*(-1320)\/(-8)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*y**3 - 51*k**2*y + 817*y**3 wrt k.\nAnswer: 2*k*y**3 - 102*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Suppose -2*v + 0 + n = 0, -3*c - 58 = v. Calculate the remainder when 25 is divided by (-2)\/4 + (-290)\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = -0*d - 3*c, 0 = -4*c + 12. Suppose -t + 159 = d*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73888357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 - 2*v + 2. Let u be j(-2). Let c(s) = -2*s - 42. Let a be c(u). Solve -a*r + 0*r = -3*w + 1, -3*r + 3*w = 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/2 - 12. Let n(r) be the second derivative of 0 + 0*r**3 - r + 1\/10*r**5 + 0*r**4 + u*r**2. Differentiate n(c) with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41593340 and -41593340 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 76 + 72 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m + 2*j - 468 = -87*m, j - 939 = -4*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1653309784 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -3)*6880\/640?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 1 q when three letters picked without replacement from {q: 1, a: 1, w: 2, c: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**3 + 4*z**2 - 15*z - 2. Is 66 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1574 and 1.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/30 - 3*a**4\/8 + 11*a**3\/6 - a**2 + 23*a. Determine w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 8*w**4\/3 + 5*w - 159. Let s(p) = 32*p. What is s(o(r))?\nAnswer: 1024*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1 - 4*r + 3 + 1 - 6. Suppose -14*m = -16*m - 6. Let u(g) = g. Calculate m*u(p) - t(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011 - -443?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 1, f: 2, i: 1, x: 1}. What is prob of picking 1 i and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 5. Let t = 3 + -2.6. Which is the third biggest value? (a) 1\/6 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34643 and 1588090.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222202202 (base 3) to base 15.\nAnswer: 126a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -582 + 462. Which is the nearest to 0.1? (a) r (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 1231489*m\/2.\nAnswer: -m*(m - 1231489)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m**4 - 2\/315*m**7 + 0*m**3 + 0*m - m**2 - 1\/90*m**6 + 0 + 0*m**5. Factor p(x).\nAnswer: -4*x**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = 4*p, 4*p - 12 = -3*d - d. Suppose 0*k - 2 = -g + k, 4*g - 5*k = 7. Suppose 0 = g*t - p, 28 = -2*c + 5*c - 4*t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.5. Let s = 0.31 - 0.01. Let k = 0 + s. What is the smallest value in n, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/840 - r**6\/360 + r**4\/12 + 2*r**3\/3 + 4*r**2. Let n(z) be the first derivative of y(z). What is n(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41692 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3613 - 3609. Let d(r) = 2*r + 4. Let f(k) = -6*k - 9. Let j(p) = -7*p - 10. Let l(z) = -6*f(z) + 5*j(z). Give a*l(w) - 3*d(w).\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1210101221 (base 3) to base 12\nAnswer: -18507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000765022274 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 - 64*w - 51. Let n be o(-7). Which is the third biggest value? (a) -29 (b) -0.06 (c) n (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -5, -0.4, 2.1, 1, 3711?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/2420*-11)*(-5)\/25.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(45)\/sqrt(3))\/(sqrt(132)\/sqrt(11)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 879122 + 879122 - 3*y - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*a**2 + 65*a - 65*a + (-a - 11 + 11)*(a + a + 4*a))*(-6*a + 3*a - 2*a + (-a - 1 + 1)*(0 + 0 - 2)) in the form y*a**2 + n + i*a + p*a**3 and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9789 divided by -3.\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 27.87. Round y to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 + -4.1?\nAnswer: -3.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*n = 15446 - 26770 + 16064 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -391554 * -0.5\nAnswer: 195777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let p(q) = 6*q. Let x(a) = -a. Let o(f) = p(f) + 5*x(f). Let u(v) = -10*v. Let h(b) = 22*o(b) + 2*u(b). Determine h(z(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f - 2*f + 3*f. Let j(h) = -h. Give j(s(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6029146 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-35)*-4)\/1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*q**3 + 941*q**3 - 553*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12576 less than 0.3767?\nAnswer: 12576.3767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 991 + -991. Factor f + 0*m - 6\/7*m**4 + 0*m**2 - 3\/7*m**3 - 3\/7*m**5.\nAnswer: -3*m**3*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = -7*y + 41. Calculate the remainder when y is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + 3*y**2 + 3*y**2)*(-3*y - 3*y + 5*y) - 1641*y**2 + 1641*y**2 - 51*y**3 - 67*y**3 + 4 - 4 to n*y**3 + g*y**2 + k + b*y and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) 5\/2 (b) 2 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9506*w**3 - 2797?\nAnswer: 28518*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 11 + 2)*(-5 + 0 + 4)*(3*l + 3*l - 5*l)*(l - 4*l - l).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose 32 = a*q - 13. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 4, -4\/5, 14081, -8?\nAnswer: 14081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -6 (c) -5 (d) -1 (e) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4135 is divided by 3646?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -11, -17, -23, -29, -35?\n\"Answer: -6*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 6340*y**3 + 89495*y**2 + 314090*y.\nAnswer: -5*y*(y - 1282)*(y + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2954 divided by 3.\nAnswer: 2954\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 5*u**2 - 2*u**2 + 4*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 0.2, -5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669061 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: Find the third derivative of 1959*g**2 + 4*g**3 - 22*g**2 - 969*g**5 + 1712*g**2 + 1089*g**5 wrt g.\nAnswer: 7200*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 7}. What is prob of picking 1 i and 2 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 696099*z - 696108*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 1. Let j be w(-1). Suppose j*g = 4*g - 12. Suppose 71 = 5*r + p, -2*p + 3 = 3*r - 41. What is the smallest common multiple of g and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let c(w) = -4*w - 5. What is -c(z) - 5*d(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 220, 331, 486, 685?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*t - 87, 10*p = 2*t + 15*p - 28. Solve 5*b + t = 3*a - 8, 3*b - 5*a + 29 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/1 + ((646\/(-10))\/17 - (-2)\/(-10)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = w + x, 3*x - 19 + 36 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*z - 500, 260 = -5*p + 5*z + 885. Let s = p + 19. What is the units digit of (1\/2)\/(9\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**3 - 8 + 8)*(-d - 4 + 4).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times -0.4?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 0*q + 266*q**3 + 28 - 33.\nAnswer: 266*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezeqemememmzubm. Give prob of sequence meb.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Let r be p(6). Let f = 4 - r. Suppose -2119996 = 4*l - 2*s, f = -l - 4*s + 77577 - 607585. What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 3. Suppose -26*c = -29 + 185. Suppose 6*x - x - b - 35 = 0, -3*b - 45 = -5*x. Let y(k) = -x + 0*k + 2*k + 8. Determine c*y(l) - 5*d(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2565.0674 + 2565. What is h rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6273132*w**3 - 173*w**2 - 920*w - 6 wrt w.\nAnswer: -37638792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.875581 days in seconds?\nAnswer: 75650.1984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.088 - 0.012. Which is the fourth biggest value? (a) 2\/9 (b) g (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 150*a + 870. What is i(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 78.9. Let v = 0.771 + 10.129. Let p = r - v. Is 2 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3581960 to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2684*c = 2673*c + 5, 4*c - 20 = 3*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 47 = -7*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(-111)\/((-13320)\/960)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**1)\/d)\/d)**17*((d*d**(-1\/2)\/d)\/d)**(-2) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -16*w**3\/3 - w. Let c(p) = 35*p**2 - 9*p**2 - 13*p**2 - 14*p**2. What is j(c(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791\/(-91) - (-12)\/(-39).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96690, 185826, 274960, 364092?\nAnswer: 453222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1\/10*b**6 + 0*b**5 - b**2 + 0 + 3*b + 0*b**4 + 0*b**3. What is the derivative of r(o) wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4726.71*-4\nAnswer: 18906.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 947 by 626.\nAnswer: 947\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 12 = -2*w. Let v(c) = -2*c**3 - 2*c**2 + 5*c + 3. Let g be v(w). Does 2 divide (g\/(-14))\/(4\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1623874 and 3094?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*p = 264, 0 = 8*f - 3*f - 4*p - 432. Let r be ((-2)\/(-3))\/(f\/(-36)). What is the closest to -2 in r, -1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*u - 7*u. Let l be (-1)\/u + 1\/(-2). Suppose 37 = 4*a + q, -5*q + 8 + 17 = 0. Solve -2*r + 4*r + a = l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12122220 (base 3) to base 10\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 0*b - b + (-2 - 2*b + 2)*(0 + 5 - 6) - 6*b + 3*b + 4*b + (-3 + 2 - 1)*(2*b - b - 3*b) - 2 + 2 + b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i**2 - 4*i. Let h(t) = -5*t**2 - t. Let p(j) = 2*c(j) - 9*h(j). Let s be p(-1). Suppose 0*n - s*n = 4*g - 184, -5*g = 2*n - 101. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 427 = 19. Solve -j*b = -7*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53\/2 - -139\/6. Let n(u) = u**3 - 21*u**2 + 13*u - 27. Let h be n(8). Let c = -753 - h. Is c greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -e92503?\nAnswer: -e924ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36216, 5, -47.2?\nAnswer: -47.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.99778 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4 - 4*g - 41*g + 31*g + 31*g. Suppose 0 = -4*z - 4 - 32. Let d(k) = 0*k - 6*k - k + 1 + 3*k. Calculate z*d(i) - 2*w(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 74572 - 74572 - 5650*d**2 in the form n*d**2 + v*d + w and give n.\nAnswer: -5650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(10) - sqrt(40)\/sqrt(4)))\/sqrt(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 7:32 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/59, 3\/4, 2, -1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*m + 586*m - 1 + 3 + 0.\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 38 = -36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from akaaaqkaq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32626 + 59699. List the prime factors of u.\nAnswer: 27073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*m + 7 = 548*m - l, -m = 7*l + 25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 1)*(f - f + f + (10*f - 45*f - 17*f)*(1 + 1 + 1)) as l + c*f and give c.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*s**6 + 230856*s**4 + 2*s**3 - 223*s**2 - 184*s + 12?\nAnswer: -840*s**3 + 5540544*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, e: 2, w: 2, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10441755, 10441756, 10441757, 10441758?\n\"Answer: l + 10441754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1756784 = 4*a, -24*a + 27*a - 1317611 = 2*r. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*o**2 - 34*o + 6*o + 14*o + 6*o - 324*o**2 as a*o + v + n*o**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*u**3 + 189 - 189 + (2 - 2 + u + (5*u - 4*u + 0*u)*(-1 + 5 - 2))*(-2*u + 2*u + u**2).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 28 = i, 545*i - 546*i - s = 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678 smaller than 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4435*f + 131365 + 152025 - 26090 + 48715 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -127\/4 (b) -0.33 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 1183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4417922 is divided by 4417849?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 56*i - 1. Let t(h) = -4*h**2 + 114*h + 2. Let k(n) = 5*m(n) + 2*t(n). Determine k(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 12*z**2 + 40*z - 8. Give t(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16389916493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - b**3 + 2*b**3 + 3 + 2*b**3 - 3 + (-3*b + 3*b - 2*b)*(0*b + 0*b - 2*b**2) + (2*b + b - 4*b)*(1 - 1 + 2*b**2) + 0*b**3 - 5*b**3 + b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123300 (base 5) in base 13?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 893 in -13\/4, 53, 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 916703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 14*i**2 - 7 + i**2 in the form c*i**2 + f + r*i and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7119 and -0.8534.\nAnswer: -7119.8534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/2 of a hour?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = -5*g, -272*g - 6 = -3*l - 274*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17131 and 1647817.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -993 + 1097. What is the third biggest value in p, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6372 by -13729.\nAnswer: 6372\/13729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6284571 (base 11) to base 14\nAnswer: -1683d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 9673?\nAnswer: -2901.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/5597 + -80759\/4472003. Let m = 56429\/15980 - d. What is the common denominator of -9\/14 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (114\/(-16))\/(27\/(-36))*34. Suppose -4*q + 977 = -w. Suppose -21*l - q = -26*l. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5*w = -10*m + 9*m - 99, 3*m - 7 = w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (2 - 7 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:33 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 210?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 - 1.6. Let h = -0.12 - w. What is the third smallest value in 0.2, -2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6 = -3*i, -13*i + 6*i + 5*j - 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 141, 261, 417, 603, 813, 1041?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*100\/(-30). Suppose -p*f + 143 = -417. Suppose -70 = -2*z - 3*z. What is the greatest common factor of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -10a1?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4879720 rounded to the nearest one thousand?\nAnswer: -4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 1, y: 2}. What is prob of picking 1 p and 1 y?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 54. Find the first derivative of -p + b - b + 2*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10627257 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*o + 115*o = 133482. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000095813 to 7 dps.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(15*f + 2*f + f)*(13 - 3 + 0)*(3*f + 0*f + 4*f).\nAnswer: -1260*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.3. Let u = -24011\/48026 + -1\/24013. What is the nearest to u in p, -3, 1\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15224, 30484, 45744, 61004?\n\"Answer: 15260*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -109 (b) 0.12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174401.6 meters in millimeters?\nAnswer: 174401600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/(-68) - (-1)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let r(t) = t - 2. Let o(f) = -2*c(f) - r(f). Let q be 0 + (2 + -1)*4. Let h(l) = -3*l**2 + 0*l**2 + q*l**2. Calculate o(h(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 l when three letters picked without replacement from gdnnndnl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1 - -0.71059.\nAnswer: -3.38941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -620467 + -3?\nAnswer: -620471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 - 208*d**2 + 32*d + 14. Let w be x(26). What is the greatest common factor of 126 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -0*w. Let o(p) = 108*p**3 + p**2 - 1. Let m be o(w). Let n = -61 + m. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuruuuuurruuuuu?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**5\/l)*l\/l**(-13)*(l**(-14))**(50\/7))**(1\/7) assuming l is positive.\nAnswer: l**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13161741 to the power of 1\/2, to the nearest integer?\nAnswer: 3628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 199296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3)**(-6)*j\/(j*j\/(j*j**(-14)*j)*j)*j*j*j**(-6)*j)**(1\/56) assuming j is positive.\nAnswer: j**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 11*s**2 - 27*s - 5. Let v be c(7). Suppose -15*q + 5*u = -13*q - 206, -v*u - 104 = -q. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -9*x**2\/2 - 9*x - 1. Let y be v(-6). What is the units digit of ((-8)\/(-10))\/(6\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l = 5. Let b = 7546.6 + -7546. What is the nearest to b in 0.3, -0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 263 in descending order.\nAnswer: 263, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -77, -5 in ascending order.\nAnswer: -77, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - -384 - 6\/2. Let m = a - 389. Solve -6 - 12 = 3*n + 3*u, m = -3*n + 5*u + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1043, 1051, 1055, 1055, 1051, 1043?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105792105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - h - 40 = 0, -5 - 10 = c + 3*h. Let l(z) = z**2 + 18*z - 55. Determine l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 1, -37 in ascending order.\nAnswer: -37, -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1619991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-12)*183 + 7 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12 + 5*i - 5 + 3*i. Let z(h) = h + 1. Let r(q) = 2*g(q) - 18*z(q). Let n be r(-3). Solve 1 + 5 = n*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240104 (base 5) in base 7?\nAnswer: -34411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = 990 - 144440. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -311 + 207. Let k be (-504)\/c - (-6)\/39. Suppose 0 = 5*f + k*y - 3*y - 18, -12 = -3*y. Solve n = -b - 2, -b - 17 = -f*n - 2*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786169477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = 3*h - 353 + 433 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57.105 in 6, 0.3, -46?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 d when three letters picked without replacement from {f: 3, a: 5, n: 1, h: 2, d: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -15. Let f = -3 - -3.1. Which is the nearest to -0.3? (a) o (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 37*n**2 + 28*n + 45. Let l(k) = k**3 - 36*k**2 + 28*k + 43. Let z(o) = 7*l(o) - 6*v(o). List the prime factors of z(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445867678 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*(n**(-2)\/n)\/n)**(4\/13)\/(n*n**(3\/4)*n*n**5\/n)**(-7) assuming n is positive.\nAnswer: n**(2473\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 3. Suppose 2*c + p = 7*c - 4, -5*c + 4*p = -16. Suppose 12 = 4*t - c*t. Suppose 4 = -4*a + 2*n, 0 = -t*a - n - 1 - 12. Determine o(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3773*h**2 + 1 - 2*h + 3793*h**2 + 2*h to the form r*h + i*h**2 + x and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:50 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 22.44. Round w to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 - -4601\nAnswer: 4601.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1893855756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/f**(-7))**(-8\/9)\/((f**(-2\/7)\/f**(-5))\/(f*f**0)**(-3\/4)) assuming f is positive.\nAnswer: f**(-1003\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 9*t**2 - t + 13. Let w be h(-9). Suppose a = 43 + w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -22. Suppose 3*d = -3*r - 228, -k*r - d + 4*d - 216 = 0. Is r\/(-4)*(35 - 13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klakqlw. What is prob of sequence laq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -18a?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 979490024 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/3 - p**3\/2 - 3*p**2\/2 + 12*p. Let i(y) = 9*y**2 + 7*y + 7. What is -6*i(a) - 14*k(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -8, 15222, -6 in descending order.\nAnswer: 15222, 1, 0, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-255)\/(-35) + (-1064)\/(-49).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16471 is divided by 2744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.5654 and 112.\nAnswer: 113.5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/1067 and 55\/6?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 240396066 divided by 8903558\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(114) - sqrt(114)*-1*-2)\/((sqrt(1944) - (sqrt(1944) - -1*sqrt(1944)) - sqrt(1944))\/sqrt(9)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.07 (c) -841.169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 3*z**2 + 4. Let o be x(-3). Let p(i) = 4 - o - 2*i**2. Let c(q) be the first derivative of -2*q**3\/3 + 9. Determine c(p(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - 2*h - 297*h**3 + 2*h + 149*h**3 - 3*h**2 + 147*h**3 - 14 as a*h + w*h**3 + m + x*h**2 + r*h**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 251*c**3 - c**2 + 3*c - 2. Let b be y(1). Let d = b - 106. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191665 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 64514 = -5*c, 4*c - 15743 = -5*s + 35819. List the prime factors of c.\nAnswer: 2, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2. Let w(s) = 44*s + 223. Let r be w(-5). Let z(y) = -y**3 + 2*y**2 - y. Determine r*z(k) + 2*q(k).\nAnswer: -3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 46*a - 23940. Let h = 321 + a. Is 82 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 27 = 5*b. Let j(l) = -l**2 - 10*l - 7. Let d be j(b). Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k - 2. Let n(i) = i**2 + 7*i - 4. Let c(d) = -6*n(d) + 11*z(d). Let x be c(-1). Suppose -4*r + x = -47. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3 (c) 2766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2))\/((-24)\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let u(b) = 642*b**2. Determine u(z(n)).\nAnswer: 2568*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2 - 11 + 6*g + 0*g. What is the units digit of r(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/((-20)\/(-30)*6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5180754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17*l = -14*l - 1889, 9445 = 5*k - 4*l. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/9322168 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.146 in -3, -1\/4, -5, -1\/6, -74?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -5*c + 10, -2*v - c = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j**3 - 25*j**3 + 1 - 2 + 3*j**3 + 259*j**2 + 3*j**3 to the form x*j**2 + d*j**3 + z*j + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -5*c - 2*x, -130*x - 27 = 2*c - 133*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 13 + 13)*(5*z - 5*z - z)*(-2*z**3 + 1 - 1) + (12*z - 46*z - 28*z)*(1 + 2 - 4)*(0 + 0 - 6*z**3).\nAnswer: -356*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3701368 and 5786?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f. Let u(j) = 4*j + 0*j - j. Let b be 6\/3*1 + -1 - -1. Let l be (-70)\/21*((-1)\/b + -1). What is l*u(s) + 6*o(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 98 - 10\/3*r**3 + 0*r**6 + 0*r**5 - 3\/7*r**7 - 5*r + 2*r**4 + 0*r**2. Find the third derivative of l(g) wrt g.\nAnswer: -360*g**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 0*b = 264. Let p(f) = 6*f + 11. Let i be p(9). Suppose 2*m + 3*m - 5*v = 95, -i = -5*m - 5*v. Calculate the remainder when b is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1679540686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 14*j + 17. Let l(s) = -s**2 + 13*s - 17. Let w(a) = 2*f(a) + 3*l(a). Let n(d) = 2*d - 7. Let g be n(-3). Is w(g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5535*-0.109\nAnswer: 603.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 479051 divided by 1\nAnswer: 479051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 120 = 2*o - 0*o, -4*o = -3*y - 241. Calculate the remainder when o is divided by ((-11)\/22)\/(((-3)\/(-24))\/(68\/(-16))).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 6 + 0 = -5*s, 8 = 5*s - 4*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028027114772 minus -4.7?\nAnswer: 4.671972885228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 113 (b) -5 (c) -1 (d) 1\/7 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818333 - 2455003 + 9*k**3 + 0*k + 818333 + 818337 + 0*k.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-30) + (598\/1035 - 2\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1107951902*u**3 - 471076119*u.\nAnswer: 6647711412*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100359 to the power of 1\/2, to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1873*g**2 + 3741*g**2 - 7*g + 3*g**3 - 1854*g**2 + 2*g**4 + 1 as d*g**4 + a*g**3 + j + h*g**2 + p*g and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3241 - 2596. Calculate the greatest common divisor of 387 and v.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 200. Let b(c) = -89. Let u(y) = 9*b(y) + 4*t(y). Let l(v) = -24*v - 4. Give -l(a) + 4*u(a).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2*u - 1. Let v(k) = 3*k**2 + 7*k - 2. Let l(o) = 17*c(o) - 6*v(o). Let n be l(-5). Solve 2*i = 3*q - 0*q - 4, 5*q = -n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11557 + 11557 - 41*b)*(5*b**4 + b**4 - 5*b**4) - b**3 + 2*b**5 + b**3.\nAnswer: -39*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-24) + (1 - 14\/12). Let y = -0.01 + -0.07. Let u = 0.38 + y. What is the closest to -0.1 in u, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a century in months?\nAnswer: 29200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 106*a - 1296 = 44*a. Calculate the remainder when 2020 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-13 - 1) + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.3494 centimeters in nanometers?\nAnswer: 7883494000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92290 or 92285?\nAnswer: 92290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:39 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 8. Let y(v) = v**3 - 3*v**2 - 2*v + 6. Let f be y(3). What is w(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 4. Suppose -v*r - 4 = -5*d + 16, 2*r + 4 = d. Let g = 51 + -49. Solve r = g*x - 5*l + 25, -l = -4*x + l - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-9)*(-1 - (9 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3652 and 550124?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 107, 169, 231, 293?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 7*o - 55. Determine d(7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -107 + 108 + (0 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/90)\/((-1)\/(-12))*-5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.034 (c) -5 (d) 3\/28 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 1:14 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -11 - 4. Let a(w) = -7*w + 6. Let i(p) = 6*p - 5. What is g*i(z) + 4*a(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.96 and 0.8356.\nAnswer: 3.308976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 67 = -177 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2764524 - -2332476. What is c rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14228.5 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 239161?\nAnswer: 5022381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.1 - 34. Let p = s - -2.4. Put p, -2\/11, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -519 + 519. Let d(s) = -9 - 12*s + y - 11 + 19. Let w(q) = -q**2. Calculate d(w(p)).\nAnswer: 12*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(684) + sqrt(684)*1 + sqrt(684) + (sqrt(684) + -1 - sqrt(684))*4)**2.\nAnswer: -36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10562 by -6.\nAnswer: 5281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/16 + j**3\/4 - j**2\/2 + 35. Factor w(i).\nAnswer: i*(i - 1)*(i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) - (((sqrt(85) + sqrt(85)*-1)*-2 - sqrt(85) - sqrt(85)) + sqrt(85))) - sqrt(85))\/(sqrt(240)\/sqrt(12)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + ((-56)\/(-36) - 0). Put c, -5, 2, -1 in ascending order.\nAnswer: -5, -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1511 = 1385*d - 1259 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11 + 3 = -2*f, 5*f - 12 = -n. Let h(d) = 7 - 1 - 5 + d**f - 4*d**2 + 2*d**2. Let q(o) = o + 0*o - 7 + 2 + 5*o**2. Calculate -6*h(c) - q(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -2*b, 0 = -2*b - 5*t + 12 + 9. Suppose 4*n - 19 = b*n. Let s = n + 6. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 19 - 8. Suppose -5*f - 7 = -2*f + c, -v = -f + 3*c. What is the units digit of 5\/(1 + 1 + f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 945.9057 + -946. What is v rounded to three decimal places?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 4*m - 1, 5*m - 40 = -2*t. Suppose 3*a - 90 = -0*a. Calculate the highest common divisor of t and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4339\/585 + -2\/117. Let b be ((-4)\/2)\/(1 + 0). Calculate the common denominator of (-30)\/(-9) + 3 + b and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(561))\/sqrt(11)*-6)\/(sqrt(27)\/(-6*sqrt(225)))*-3.\nAnswer: 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -206*c**2. Let w(r) = 2*r. What is l(w(v))?\nAnswer: -824*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (2 - -181)*(-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 34 = 2*f + 49, 3*x - 3*f = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -18. Let k be 4 - 2 - (3 - 0)\/(-3). Solve k*u = u + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 - -0.96. Let q = i - 0.6. Let r = -0.35 - q. Which is the smallest value? (a) 1\/2 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1381 is divided by 459.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31cba (base 14) to base 4\nAnswer: -131122330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6756778 minus -4?\nAnswer: 6756782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210 + 815. Calculate the greatest common divisor of 1331 and l.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40404 and 3367.\nAnswer: 40404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdxokg. Give prob of picking 1 x and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 6250620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k**2 + k)*(-7*k + 2*k + 3*k)*(-3 + 4 - 3).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3326 + -3100. What is the highest common factor of g and 13673?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -13. Let p = o - 29. Suppose p = -3*l + 22 + 17. Solve 4*r - 5*v - l = 0, -5*r - 38 + 8 = 3*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/9, -0.2, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/l**(3\/7))\/l*l)*l)**(2\/23)*l\/l**(1\/8)*l*((l*l**(7\/4)*l)\/l*l)\/l*l*l)**(-45) assuming l is positive.\nAnswer: l**(-396225\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/5*(-26)\/(-28665)*15?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*t = -2*x + 690*t - 21, -4*x - 39 = 3*t for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240365.2 rounded to the nearest ten thousand?\nAnswer: 3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 4\/3, 1, -0.276 in decreasing order.\nAnswer: 4\/3, 1, -0.03, -0.276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 4, p: 9, v: 4, z: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 12*c**2 + 33*c + 32. Let g be z(-14). Which is smaller: g or -35?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118.4 + 88.4. What is the closest to t in -4, -1\/4, 3, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.376 + 5.376. Sort 1\/7, -2, f, -1\/3 in descending order.\nAnswer: f, 1\/7, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309583681 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.055 (b) 5 (c) 1 (d) 6.9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Let b(v) = 1321*v. Determine n(b(i)).\nAnswer: -1745041*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 8. Let v be d(11). Find the first derivative of 2 - c**3 - 3 + v*c**3 - 3 wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38435?\nAnswer: 5, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 29*y - 1. Calculate the remainder when t(1) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 23. Let p be 4\/(-18) + 40\/s. Suppose h - p = -4, 5*i - 5*h = 35. Solve -i*a - 5 = 2*f + 3*f, -f = 3*a + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.2 and -0.1069337.\nAnswer: 1.94619334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19915*h**2*k*u - 2*h**2*u + h*k*u + k - 1608*u - 1 wrt h.\nAnswer: 39830*k*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 3*p - 4. Let c be j(4). Suppose -4*o + 8*o - 8 = c. Suppose k = -3*v + 8, -2*v - o*v + 4*k = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.27 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 23*q**2 - 56*q + 296. Let c be j(21). Solve -2*y = c*i - 84 + 94, 5 = -i - 3*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 126?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -79 + 21\/2*h**2 + 0*h. Let q(o) = -o**2. Determine q(u(j)).\nAnswer: -441*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (414\/27)\/(3\/99*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -5 (b) 8\/9 (c) -1.3 (d) 2 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2*f + 1. Let i(z) = -7*z**2 - 7*z - 17. Let c(g) = -9*g + 82. Let l be c(9). Let q(t) = l*i(t) - a(t). Differentiate q(k) wrt k.\nAnswer: -12*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n + 25 = 5*z, 0 = -2*z + 2*n + 18. Let w be z\/10 + (-54)\/60. Let v be -2 + (2 - (-1)\/(-3)). Sort v, 3, w.\nAnswer: w, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2 - 10\/4. Let p be 1 - 1\/((-3)\/9). Sort -2, 3, p, c.\nAnswer: -2, c, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 29948\/(-12))\/((-3)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728667.521s in weeks?\nAnswer: 2.8582465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let b(i) = -3. Let l(o) = 7*o + 52. Let c(m) = -5*b(m) + l(m). Determine k(c(g)).\nAnswer: 7*g + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 1 + 1 + (-2*l**2 + 3*l**2 + 0*l**2)*(-4*l - l + 6*l) + 31*l**3 - 362 + 362 as g + v*l + i*l**3 + o*l**2 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 8*n = 28. Let y(s) = 3*s**n + 5*s + 4*s - 5*s**2. Let r(a) = a. What is y(r(q))?\nAnswer: -2*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsdsd. What is prob of sequence dssd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017463115 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-60)\/(-48)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468489 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.2. Let o = -0.8 - -0.8. Let r = y - o. What is the nearest to -0.1 in 0.5, r, -5\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7542 + -165873\/22. What is the common denominator of x and -51\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195586.\nAnswer: 2, 19, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 793 and 1525?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-304)\/4)\/(-4) - 4. Let t be (q + -7)\/(2\/(-76)). What is the tens digit of t\/(-10) + 4\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/61 or 8\/35?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 675 = 752 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*y + 76*y + 1 + 87*y**4 + 202*y**2 - 86*y**4 to the form i*y + f*y**4 + d*y**2 + x + a*y**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 2, o: 1, s: 2, q: 1, n: 2}. Give prob of picking 1 p and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let f(m) = 1. Suppose 4 = -5*s - 3*c, -8*s + c + 1 = -10*s. Determine s*f(i) - 3*a(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 3. Suppose 6*p - 36 = -6*p. Let v(o) = 9*o + 8. Give p*v(b) - 8*j(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -3. Let q = 0.426 - -34.474. Let t = q - i. What is the closest to t in -2\/3, 5, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -1.686621?\nAnswer: 1.186621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 38*b - 448 = 0. Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 4*y**2 + 67*y**2.\nAnswer: 76*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(539) + -1 + 4 + sqrt(539) + -5)**2.\nAnswer: -196*sqrt(11) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 41. Let f = y - -32. Calculate the remainder when f is divided by -1 - 5\/(-1*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 9. Let g = -36 - -181\/5. Let w = -45 - -136\/3. What is the biggest value in p, g, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(234\/54)\/(3\/(-27))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1681835857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 69*h + 7. Let x(b) = b - 2. Calculate 2*i(j) + 6*x(j).\nAnswer: 144*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 - 6093*i - 12198 = 0. Calculate i.\nAnswer: -2, 2033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 11*i - 5. Let q be k(4). Calculate the remainder when q\/(((-4)\/(-18))\/((-36)\/54)) is divided by 34\/3 + (-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*o - 0. Let h = 13 - o. Suppose h = y - 7 + 5. Solve 4*m + 6 = -y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -37482\/78953?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16284 divided by 92?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 5*c = -31, -3*c - 9 = j. Let v be ((-2)\/6)\/(j\/(-9))*4. Differentiate 235*z**v - 132*z**2 + 5 - 32 - 134*z**2 wrt z.\nAnswer: -62*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2370109, -2370107, -2370105, -2370103, -2370101, -2370099?\n\"Answer: 2*n - 2370111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(2304) - -2*sqrt(2304)))\/sqrt(8).\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdffzzfudzuz. Give prob of picking 1 z and 1 u.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w. Suppose 2*b - 4*b - 5 = d, 5*d - 11 = -b. Let i(x) = -1368*x**3 + 1364*x**3 - 5*x - 63*x**2 + 60*x**2. Determine d*q(t) - i(t).\nAnswer: 4*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1718, -1173, -610, -29, 570, 1187?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3\/4 (b) -2\/365 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2435 * -0.2.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-25)*(-8 + 3). Put w, 2, 8 in descending order.\nAnswer: 8, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 1, 0, 3, 5 in ascending order.\nAnswer: -61, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2821*l**3*t - 2*l**3 - 4538*l**2 + 923*l*t**2 - 3*t + 116 wrt t.\nAnswer: 2821*l**3 + 1846*l*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110001101 - -100?\nAnswer: 111001110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824 - 5113 = 208*o + 664*o - 1577 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**4 + 5330*m**3 + 43015*m**2 - 58980*m - 96660 = 0. What is m?\nAnswer: -9, -1, 2, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 76.9352. Round j to three decimal places.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 21*i**2 - 3*i - 30. Does 22 divide j(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -933?\nAnswer: 31\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3419540 rounded to the nearest ten thousand?\nAnswer: 3420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from qwwqwmwqqoqfqoqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 1)*(3 - 5 + 1) - 3 + 3 + 1 - 9 + 1 - 1)*(5*g**5 - 4*g**5 - 3*g**5).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 642876776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*h - 384 = -361*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 3*a - a)*(0*a**4 + 2*a**4 - a**4) + 23*a**4 - a**5 - 4*a**4 - 89*a**4 + a.\nAnswer: a**5 - 70*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5873 - 5813. What is the highest common factor of 750 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263433 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 11:23 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(6\/(-20))\/((-78)\/(-65)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81369*x**2 - 81876*x?\nAnswer: -162738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 62*d**2 + 130*d + 63. Is 41 a factor of y(60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*o - 192*o + 413*o - 1.\nAnswer: 15*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211320112 + -10?\nAnswer: 1211320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 462, 921, 1380, 1839, 2298, 2757?\n\"Answer: 459*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4359 + -114. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 3) + -3 + 49 + (-53 - -6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w + 12*w = 0. Let c(b) = -3 - 6*b + 3*b + 9. Let o be c(w). What is the greatest common divisor of o and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 33, -0.2, 1\/11, 4, 1 in descending order.\nAnswer: 33, 11, 4, 1, 1\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 - -401. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -1482373, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/593, 0.1, 6, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804222 = 350*o + 1789872 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 42.1. Let g = -1.7 + q. What is the second smallest value in g, -0.1, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moe when three letters picked without replacement from {i: 1, m: 1, e: 2, u: 1, a: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -55. Calculate the least common multiple of 46 and a.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/10 - (-3)\/2. Let l = 965 + -930. What is the nearest to 1 in -4, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -67, -2\/25, 2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 7*u**2 + 8*u + 8. Let q = 10 + -6. Suppose -x - 5*d = -14, q*d - d - 6 = -x. Calculate c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357188?\nAnswer: 2, 3, 7, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-204)\/7)\/((-11)\/77). Let d = -63 + k. Suppose 4*b - d = -21. Calculate the highest common divisor of b and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 122305011?\nAnswer: 122305005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 45. What is the smallest common multiple of 16 and ((-4)\/2)\/(r\/160)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*l + 520*l = 30. Let c = -453\/7 + 65. Let a be (0 + -1)*(-6)\/(-10). What is the third biggest value in a, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let a(y) be the second derivative of 0*y**2 - 3\/20*y**5 + 0 - 2*y + 0*y**j + 1\/4*y**4. What is the third derivative of a(w) wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.375 - 70.2807001.\nAnswer: -69.9057001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*i = 373*i - 160*i + 3397 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*c = 85, -n - c + 14 = -3*c. Solve 69*k + n = 65*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0140175 to five dps.\nAnswer: -0.01402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 10*m**2 + 9*m + 3. Let u be n(-9). Suppose 0 = u*o - 5*k - 50, 4*o + 0*o - 5*k - 60 = 0. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346906, 693811, 1040716?\nAnswer: 1387621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.4 (c) 7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {c: 2, w: 4, q: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -47 - (50 + (45 - 104)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22907657 - 11947657. What is s rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 14. Suppose -20 = -4*u, b - 2*u + 6*u = c. Let q = b + -13. Sort 1, q, -5 in ascending order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/440*5*(-2172)\/(-1267)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1742, 0.3, 3, -12, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(77\/24)*(126\/(-441))\/((-18)\/(-588))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241995 and 109525?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-38) - (-546)\/133. Solve 4*m = h + 21, 0*h - c*h + 4*m = 24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1812 + -1813. Let j(l) = -2*l + 6. Let q be j(5). What is the closest to b in q, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420135005.\nAnswer: 5, 197, 227, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 13 = -4*r - q, 2*r + q = 11. Suppose -r*t = -t - 6. Let p = -3 - -16. Solve 4*k = 4*y + p + t, -4*y + 5*k = 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135889 is divided by 1282?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 11. Solve -x + d = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 13 = 93*w - 99*w, 68 = 16*w + 4*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 - 151?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as 493320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12 and -67\/25312.\nAnswer: 75936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9610268 and 18.\nAnswer: 86492412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**10*g*g)\/(g*g**(-3\/7)))\/((g**(-2\/29)\/g*g)\/g)**(-42) assuming g is positive.\nAnswer: g**(-6794\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/37373? (a) -2 (b) 4\/5 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)*(-1 + 7 - (-1375)\/(-220)). Let z be (-38550)\/(-111447) + 4\/14. Let l = -18\/29 + z. Which is greater: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:38 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -5*u**4 - u**3\/3 + u**2\/2 + u + 409. Give r(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/16 - 1 - (-18)\/16. Let u be (-1 - -275)*h*1\/2. Suppose -u = -l + 26. List the prime factors of l.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 10. Suppose 0*w + 3*w = 24. Let r be k(w). What is the units digit of 15 + -3 + r*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 655*g - 3237. Let x be w(5). Solve 0 = q + 4*r + 13, 3*q + x*r + 15 = 34*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 1019.6?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 1236 = -5*c - 1239, -9*q + c - 26 = -5*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*u - 186*u + 618 = 0. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/(-12)*5295\/(-110). Let h = o - -545. Let g = -24.7 - -24.2. What is the biggest value in -0.1, h, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**(2\/49))**(-6) assuming f is positive.\nAnswer: f**(-60\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12862 - -12867. Suppose 9*h - 4*h - 15 = 0. Let l = 1 + h. Put l, d, -4 in decreasing order.\nAnswer: d, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53990750, 53990745, 53990740, 53990735?\n\"Answer: -5*i + 53990755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78054363 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**(-1\/5))\/(z**(-3)\/(z\/(z\/(z\/(z*z**0)))))*((z**(2\/9))**6)**(3\/5) assuming z is positive.\nAnswer: z**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 2, -29 in ascending order.\nAnswer: -29, -6\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71343.\nAnswer: 3, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -43*t + 185. Let c be j(-30). Suppose 0 = -5*u + 4*w + 3127, -5*u + 1631 + c = 3*w. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.119.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25838, -28385, -35278, -48683, -70766, -103693, -149630, -210743?\nAnswer: -289198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = 4*w - 5, 0 = -2*w - 5*p + 23. Put -3, w, 3 in ascending order.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16*m + 24. Let d be r(3). Suppose 42 = -6*b + d. Solve u - 24 = b*n, n + 4*n + 5*u = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 82 + (-69 - 30).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 = 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 49*r + 59. Let v(y) = -2*y + 76. Let s be v(31). What are the prime factors of i(s)?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + (-1)\/2. Let n be (w\/(-2) - 1) + 123. Let x = n - 85. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*b = 232*b + 5. What is the nearest to -0.3 in b, 3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avp when three letters picked without replacement from {p: 3, a: 7, v: 3, o: 6}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/46*(12360\/(-280) + 45)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 385\/14*6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.865096 to 3 dps.\nAnswer: -4.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.98. Let d = 2.1638 + -2.2638. Sort d, -1\/9, m.\nAnswer: -1\/9, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 5277*s - 1709004.\nAnswer: -3*(s + 428)*(s + 1331)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 91585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 + (6 - 4) + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*1548\/(-2795)*(-40)\/168.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 711 and 272960721?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*q - 36, -4*q + 6 = g - 0*q. Is g < 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 27*y + 25. Let a be m(13). Is (-3)\/a*-2725 + (-1)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6158*a - 833*a + 149100 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 + 4*c + 3. Let k be h(-2). Let q = -9 - k. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.431, 0.2, -88 in increasing order.\nAnswer: -88, -4\/3, 0.2, 0.431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 14*l - 15. Let t be i(-15). Solve -4*a - 2*v - 12 = -t*a, 2*a - v = -10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -30*q + 758. Let p be d(25). Solve p = 3*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.29 - -1579.71. Let v = d - 1607.00000787. Round v to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 3*y**2 + y**2)*(-2*y**2 - y**2 + 5*y**2) - y**4 + y**4 - 2*y**4 + 2*y**4 + 2*y**4 - 5*y**4 + (2*y**3 + 3*y**3 - 3*y**3)*(-362 + 362 + 27*y).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3617, -5316, -7015, -8714?\nAnswer: -10413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.353 and 4462.24568.\nAnswer: 4462.59868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -635*a**4 - 147*a**3 + 27*a**2 - 220478906*a wrt a.\nAnswer: -7620*a**2 - 882*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9438 - 4716 - 4722 + 25*j**3 + 101*j**2 - 101*j**2.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*q - 5*q + 125, -593 = -5*q - 2*a. Suppose 0 = -f - 5*f + 1740. What is the lowest common multiple of 11 and f\/26 - (-6)\/q*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201000 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let k be 2\/(-1) - (-8 + 3). Let f(o) = -3 + k*o + 3 - 2*o. Give d(f(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1630883, 1630886, 1630899, 1630928, 1630979, 1631058, 1631171?\n\"Answer: s**3 - s**2 - s + 1630884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353011 at most 6353011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -5*g - 3*x - 63023940, 4*g = 5*x - 50419155. Let o = g - -5994785. Round o to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50606638 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*u = 14, -4*k - 5*u = -2 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from mxxxxxlxmx?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4450 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1202 or -1203?\nAnswer: -1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 - 104*a - 899. Let h(v) = -v**2 - 18*v - 150. Let b(l) = 13*h(l) - 2*y(l). Calculate b(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-42))\/(2\/(-14)). Let v be -5*1\/(165\/(-6)). Which is the smallest value? (a) 3 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 11*f + 29. Let b be d(-8). Solve -3*z = 2*s - 21, -b*s - 13 = -s - 5*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, 8102, 22144, 41796, 67052?\nAnswer: 97906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgtkkkttgkgttgt. What is prob of sequence gttt?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1577 + 4?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1. Let r(y) = -16*y - 5 - 18*y + 48*y - 13*y. Let b be r(2). Sort 1, t, b in ascending order.\nAnswer: b, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2315 (base 7) to base 9\nAnswer: -1138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -0.2 (c) 5 (d) 7425 (e) 0.4 (f) -344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.4. Let d = 149.8 + -150. Which is the closest to k? (a) d (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/7 of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let o(s) = s**2 - 4*s - 5. Let j be o(5). Let p = 11 + j. What is the smallest common multiple of p and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8930 and -31\/213427.\nAnswer: 2134270","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/39276 and 113\/12.\nAnswer: 39276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.1. What is the third biggest value in 3, g, -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/20 - l**4\/3 + l**3\/6 - 3*l**2\/2 - 2*l. Let q be w(4). Suppose -2*b = -5*f + 8, -b = 3*b - 2*f. Are q and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7385*j**3 + 2149045*j**2 + 6383550*j + 8640 = 0 for j.\nAnswer: -288, -3, -2\/1477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2\/3)\/((-11)\/(-1))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*o + 60. Let u = -30 - o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*h**2 - 340*h**2 - 2*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*a + 761 = -794 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64468432*g - 295847367 wrt g?\nAnswer: 64468432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12400 and 89\/1240.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 7 + 24*q + 13*q. Is 14 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t, -r - t = -0*r - 110. Let z = 43 - 38. Suppose 28 = 5*n + 3*i - 79, -z*n = 4*i - r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19423817?\nAnswer: 7, 107, 25933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (1 + sqrt(252))) + sqrt(252))*3 + 0)**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + 5*(-1 + 3*sqrt(605)))**2 + -4).\nAnswer: -16500*sqrt(5) + 681105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l**4 - 364*l**3 - 452*l**2 + 364*l + 464 = 0.\nAnswer: -29, -4\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16*(78\/117 - (9 - (-413)\/(-42)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkqyykkkh. Give prob of sequence qnhk.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 62, 67, 74?\n\"Answer: y**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 15. Let h(j) = 2*j - 119. Let v(f) = -h(f) - 8*q(f). Let o(w) = 3*w**2. What is o(v(r))?\nAnswer: 972*r**2 + 108*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 23*g + 90. Let z(v) = -3*v**2 - 24*v - 89. Let a(p) = -7*l(p) - 6*z(p). Is a(-8) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, k: 10, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7954580454.\nAnswer: 2, 3, 149, 1237, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - (-396)\/63. Let r be (9 - k) + 249\/1. Suppose -t - 3*t = -r. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3783, 7078, 10363, 13638, 16903, 20158?\n\"Answer: -5*a**2 + 3310*a + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g - 36 + 31 + 4*g**2 + 4*g**2. Let d be p(3). What is the greatest common divisor of 34 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575911, -3151825, -4727729, -6303617, -7879483, -9455321, -11031125?\nAnswer: -12606889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-2))\/(33\/55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3319, -0.21, 3 in decreasing order.\nAnswer: 3, -0.21, -3319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455 by 1.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 157 (b) -18 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0112069 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.71 + 0.29. Let q = t - 31.93. Which is the closest to 2\/5? (a) 0.3 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -c + 21693, 391*c - 388*c - 65099 = 4*q. What are the prime factors of c?\nAnswer: 3, 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -28*v - 5. Let o(c) = -44*c - 46*c + 1 + 130*c - 41*c. Give -4*o(b) - r(b).\nAnswer: 32*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87\/5 + (-2)\/5. Suppose v - 5 = d. Calculate the highest common divisor of v and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*85\/51. Let u(p) be the first derivative of -5*p + 5 - 1\/4*p**4 - q*p**2 - 7\/3*p**3. Calculate u(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(f**2 + 7*f**2 - 3*f**2) + 52*f**2 + 55*f**2 - 108*f**2 + 4*f.\nAnswer: 9*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) -1\/3 (d) -7.622\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 10309?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -856? (a) -0.04 (b) -2 (c) 5 (d) -6 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28639 = -28*v - 0*v + 323993. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 14950.\nAnswer: 14950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 528\/23? (a) 2\/15 (b) 1\/3 (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -12. Suppose -b*j + 12 = -2*j. Suppose 2 = -j*s + 10. Calculate the greatest common factor of 18 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from gjuguc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 0.1, -155, -116.\nAnswer: -155, -116, 0.1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 351*i**3 + 4*i**2 - 12*i + 5. What are the prime factors of a(2)?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 0*v)*(2 + 0 - 3)*(18 - 32 + 27)*(-3*v + 6*v - 2*v).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-1 - 3)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.5 - -7.3636. Let p = b - -0.123. Round p to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from ffyfwwyyywywyaf?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/14)\/((-18)\/(-21))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslaal. Give prob of sequence al.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 29685 - 78065 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 347\/5. Let p = 1.9 + 0.1. What is the nearest to 0.1 in j, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6783, -13938, -21093, -28248, -35403?\nAnswer: -42558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**4 + 186885*d**3 - 14334*d**2 - 20*d?\nAnswer: -96*d + 1121310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + 23*v**2 + 11*v + 7. Let z(j) = -3*j**3 + 12*j**2 + 5*j + 3. Let g(t) = -4*u(t) + 7*z(t). What is the units digit of g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 - -155. Is 22 a factor of 2752\/5 + h\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.129 + -59. Round p to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 94*s**2 - 3*s + 3. Let k(d) = 5*d**3 + 188*d**2 + 7*d - 7. Give 3*k(a) + 7*m(a).\nAnswer: a**3 - 94*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 153*n**3\/2 + 125403*n**2\/2 - 658320*n + 236550 = 0.\nAnswer: -830, 19\/51, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 4, d: 1, u: 4, q: 5}. What is prob of picking 1 p and 3 q?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2 - 2)*(4 - 7*n - 4 + (-1 - 2 + 4)*(2*n - n - 2*n) + n - 4*n - n + (-2*n - 2 + 2)*(-5 + 6 - 2) - n + 2*n + n + 0*n + 2*n - 3*n)*(0 + 0 + 1).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -3*n + 8*n - 329131, -5*n + 329104 = 2*z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2063020 = -2063020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.03 (b) 1\/10 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 12. Let h be q(0). Suppose -h = 3*l - 0*l. Let p = l + 17. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -2\/2309?\nAnswer: -2\/2309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 6 (b) 0 (c) -65 (d) 5 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + r = 26, -4*p + 19 = 2*r - 3. Let f(a) be the second derivative of a**4\/12 - 2*a**3\/3 - 3*a**2\/2 - 543*a. Give f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 + 6*d - 4. Let s(m) = -m**3 - 7*m**2 - 5*m - 31. Let x be s(-7). Let t(l) = 7*l**2 + 5*l - 3. What is x*h(b) - 5*t(b)?\nAnswer: -3*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -112, -996, -3402, -8092, -15828, -27372, -43486, -64932?\n\"Answer: -127*k**3 + k**2 + 2*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 6\/(-42) + (-26)\/14 - (-74 - -2).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + ((-2655)\/118)\/(23\/46).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**4*v**(-7)*v**(2\/19)\/v*(((((v*v**2*v)\/v)\/v)\/v)\/v*v)**(-24)*v**(-2\/17)*v*v*v*v**8*v assuming v is positive.\nAnswer: v**(-20684\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11*a - 250 = -10*a, -2*s - 3*a = -266. Solve -125*p - 10 = -s*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 6*m - 107. Let s = 8 + 0. What is the greatest common divisor of s and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16 - 4 = -p, -5*p + 10 = -z. Suppose 2*m + 95 = -0*d + 3*d, 0 = 3*m - z*d + 141. Let l = m + 58. Solve -4*o - l = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w + 20*w - 75*w + 16*w + 21*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -93.82.\nAnswer: -9.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 65770 = -3*z - 65795, -7*r - 5*z - 111 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-29)*p**(-2\/111) assuming p is positive.\nAnswer: p**(-3221\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {y: 1, q: 3, w: 4, n: 3, m: 2, r: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 241085453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1*15 - 0. Let h = -27 - w. Let g = -7 - h. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32128 and 104?\nAnswer: 417664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -878, -1091, -1306, -1523, -1742?\n\"Answer: -h**2 - 210*h - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*p**2 + 203*p**2 + 74*p**2 + (3 + 13 - 6)*(-p**2 - p**2 - p**2) to the form w + c*p + i*p**2 and give i.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-13) + 0 + 2. Let d be (-4 - (3 - z)) + 33. Let j = -20 + d. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -6*r + 1 + 0*r**2 - 5\/6*r**3. Let v(o) = -2*o**2. What is u(v(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**8\/80640 + p**7\/4032 + p**6\/480 + p**5\/60 + p**3\/2 - 34*p**2. Let u(q) be the third derivative of w(q). Factor u(t).\nAnswer: -(t - 6)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/40? (a) -3 (b) 1\/5064 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 smaller than -11.3345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.2, -2, -15, 0.0805?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 34*s + 29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68\/41 or -3?\nAnswer: -68\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2)\/(-6) + -2 - 1051. Let r be -4*(-2 - -1) - (-3978)\/z. Which is the nearest to -2\/9? (a) -5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -2027, -7310, -17707, -34922, -60659, -96622, -144515?\nAnswer: -206042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4934726 hours in seconds?\nAnswer: 1776.50136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524849 is divided by 1307.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119*m**5 + m**3 - 159*m**2?\nAnswer: -7140*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*-3*(-2)\/10. Let n = 0 - m. What is the nearest to 1 in n, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n - 18. What is the tens digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(192) - (-2 + sqrt(192) - sqrt(192) - sqrt(192))))*1 + -3 + -2 + sqrt(3) + sqrt(3) + -2 + 5.\nAnswer: -3 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -1. Let b be (-184)\/(-44) + 2\/v. Solve 2*u - 7 = 3*o, b*o + 11 + 9 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -80 + (6 - 10). Let v be 11\/((-165)\/u) + (-4)\/(-10). Suppose -9*q + 69 = -v*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -225514.\nAnswer: 225516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 6*d + 5. Let i(v) = 6*v**2 + 31*v + 25. Suppose 3*y = 5*m - 13, -m + 8*y + 7 = 3*y. Let o(s) = m*i(s) - 11*q(s). Determine o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) 0.3 (c) 1\/5 (d) -3903\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 418 - ((-4)\/12)\/((-3)\/27). Let f = t + 1354. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/10*18\/(-126).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 41\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 - 93830*m**4 + 2249480*m**3 - 8243120*m**2 - 62969200*m - 73468640 = 0. Calculate m.\nAnswer: -2, 14, 18742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8005)\/8060 - (42 + -43) and 67\/156.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 1*-2*sqrt(152) + 1*sqrt(152)*4)\/((sqrt(512) - -2*sqrt(512))*-1 - 2*(sqrt(512) - 1*sqrt(512))).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 46761?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -107*o - 67. What are the prime factors of b(-3)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2, -3, 1\/5, 81\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g**3 + 4*g**2 - 2*g + 4. Let o = -155 - -189. Let x(n) = -31*n**2 - 11*n + 10*n + o*n**2 + 3 + 10*n**3. Calculate -3*q(h) + 4*x(h).\nAnswer: 7*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106111*b - 102553*b = -135204 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxkkxxxxkkxkkxkxkkx. What is prob of picking 2 x and 2 k?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25146 = 21*z + 4335. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8299201*f**2 - 647914 with respect to f.\nAnswer: 16598402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruvvrvv. What is prob of picking 1 r and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11771 + 11923 = 17*r + 2*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -16*r - j - 26145, 0 = -5*j. List the prime factors of r.\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1058, -1\/4, 2, 1915\/14 in ascending order.\nAnswer: -1\/4, 2, 1915\/14, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + 26*u - 26*u)*(u**2 - u + u) + ((0*u**2 - u**3 + 0*u**2)*(3 - 6 + 2) - 2*u**2 - 3*u**3 + 2*u**2)*(7 + 28*u**2 - 3 - 30*u**2).\nAnswer: 8*u**5 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose -3*p - x + 295 = -2*x, b*x - 89 = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -251?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 2, q: 1, n: 2, g: 1, y: 2}. What is prob of sequence qvtg?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-6)*42\/(-196)*7. Let f = 41 + -24. Let n = f - 14. Solve 5*t = -v + 5, n = -2*v - t - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ithl when four letters picked without replacement from {l: 2, i: 1, h: 1, t: 2, b: 6}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/9*18\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {m: 1, n: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l - 6*l - 2*l**3 + 2*l**3 + 3 - 3 + (6*l**2 - 4*l**2 - 4*l**2)*(-2*l + 0 + 0).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39371 or 39396?\nAnswer: 39371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*p**3 + 215*p**2 - 590*p - 600.\nAnswer: 5*(p - 2)*(p + 3)*(23*p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*k**2 + 5*k**2 - 2 - 4*k**2 + (-1 - 2 + 2)*(3 - 3 + 2*k**2).\nAnswer: -12*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqovqvvoqqqooq. What is prob of picking 1 v and 3 o?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuuutuutttt. What is prob of picking 1 t and 1 u?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87527, 174684, 261841?\nAnswer: 348998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 63?\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*r**2 + 5*r**3 - 12*r**3 - 1 + 4*r**2 wrt r?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + 3*n + 9*n + 13*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*y = 322*y - 16. Suppose -y*a + p = -131, -10 = -5*p + 5. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20*(9 - (-2197)\/(-260)). Solve -5*p - 30 = -5*n, 5*p + 10*n - l*n + 18 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 10) to base 8.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82.91 and -0.56.\nAnswer: 46.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/4 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*-2)*-5)\/(sqrt(490)*2).\nAnswer: 5*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 517*f**3 + 10*f**2 - 44*f + 8. Let p = 9 - 5. Suppose -98 = p*l - 11*l. Let h be k(l). What is h rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 7*y**2 - 5*y - 3. Let o be r(-7). Let n be (3\/84)\/(44\/o). Is n equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564116 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*s - 74, 5*s - 3*u - 101 = -0*s. Do -1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1257, -1175, -931, -453, 331, 1493?\nAnswer: 3105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-1 + sqrt(132) - -4*sqrt(132)*2)\/((sqrt(8640)*1)\/((sqrt(20) - sqrt(5))*-2)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 55995307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, 7 in decreasing order.\nAnswer: 7, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -238 (c) 39 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8985*b - 740287 - 8985*b + 740287 - 13*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvk. Give prob of sequence knv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/68 and 65\/1791494.\nAnswer: 3582988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57c (base 13) to base 5.\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -223696.7492 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7933383*h**2*i**3*x - 202*h*i*x - 6*h*i - 2*i**3*x + 7*i**3 + 2*i**2*x + 2*i wrt h.\nAnswer: -15866766*i**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*z = -2*z - 8, -4*p = -4*z - 28. Suppose x - p = 28. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(363) + -3)**2*6 + (sqrt(36)\/sqrt(192) + sqrt(3) - (((sqrt(15)\/sqrt(5))**2 - sqrt(3)) + -4)).\nAnswer: -1575*sqrt(3)\/4 + 2232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 842, 1326, 1810, 2294, 2778?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20b (base 13) in base 4?\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3124 rounded to one decimal place?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 10*u - 13. Let z(b) = b**3 - b**2 + b + 6. Let l be z(0). Let p be n(l). Let q be 3 - (-5 + 4) - p. Sort q, -1, -3 in descending order.\nAnswer: q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 144, 223, 314, 423, 556, 719?\n\"Answer: m**3 - 3*m**2 + 75*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6542 + 12375. Suppose -1122 = 7*d - s. What are the prime factors of d?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:02 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 514851612 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079766\/(-9)*189\/(-126) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 331 = -9*u + 5*u + 902, 4*u - 3*r - 67 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 36, 21, -34, -141, -312?\n\"Answer: -2*d**3 - 2*d**2 + 33*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-8)\/18)*(-24 - -8). What is the highest common divisor of u and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 14468245254858\nAnswer: 14468245254858.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + 5*u**3\/3 - 7*u**2\/2 - 4*u - 1. Let l be h(-6). Sort 0.2, -0.4, l in descending order.\nAnswer: l, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170780605*h - 149438353 wrt h.\nAnswer: -170780605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-33)\/(-6)*-13*194\/(-13871).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + -477?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-12)*4*147\/(-98)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 782 and 254098?\nAnswer: 99352318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -135. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 62 = 0. Suppose -w = -5*z + 4*i, 0 = 3*z - z + 2*i + 2. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 7}. What is prob of sequence eeaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -19*n + 36 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 2*v - 360 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32757 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2375.977 to the nearest ten.\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624090 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 150.\nAnswer: 37\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144955, 144949, 144943, 144937, 144931, 144925?\nAnswer: 144919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65*(-2)\/(-10))\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 691\/296 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/13 + 11062*d**4\/13 + 311304*d**3\/13 + 10976*d**2\/13 - 60938752*d\/13 - 427109088\/13 = 0?\nAnswer: -14, 14, 5559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 27 - 12 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1112210 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 + 36*o + 5. Let i be c(-5). Suppose i*k = -6*k + 2922. What are the prime factors of k?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35005\/19244 + 186\/283. Let v = 7\/17 + z. Sort -0.3, 4, v in decreasing order.\nAnswer: 4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30640820*n**2 - 2*n + 7707649.\nAnswer: 61281640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*(-4 + sqrt(539)*-2 + 2*-2*sqrt(539)))**2 + -5)*6.\nAnswer: 18144*sqrt(11) + 1048662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 16*n**2 - 4*n - 1. Let d be k(-16). Let g = -48 + d. Let b be -3 - (12\/g)\/((-8)\/60). Solve -2 = b*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-6)\/198)\/((-587)\/64570)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and 1050.6?\nAnswer: 1018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*z**2 - 36*z**2 + 147*z**5 - 125*z**5 wrt z.\nAnswer: 1320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164495 + 185385899\/1127. Calculate the common denominator of k and -17\/98.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8\/126*(-91)\/6.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98747102 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -42.\nAnswer: 85\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7449885 is divided by 297974?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 254*a + 122. Determine l(-63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(204)\/(-5*sqrt(972) + sqrt(972)) + 4 + -5.\nAnswer: -3 - sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 - 33*g**2 - 19*g - 7. Let y(w) = 3*w**3 + 17*w**2 + 9*w + 3. Let l(x) = 4*o(x) + 7*y(x). Calculate l(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 22. Let j = -4 + r. Find the common denominator of -23\/8 and (-1 - j) + 34\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15099494741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 394 = n, -5*k + 2*n + 740 = -1242. What are the prime factors of k?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 292523000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-4) + 2\/8. Suppose -2*b + x = -37, -x = x + p. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 times -89877?\nAnswer: 21210972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171360)\/(-19040)*(-136)\/(-9).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/5 + 52*q**3\/5 + 1518*q**2\/5 - 24128*q\/5 - 430592\/5.\nAnswer: -2*(q - 29)**2*(q + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -5 - (-1479)\/203. Let l(g) = g - 6. Let v be l(9). Which is greater: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:01 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48\/60 + 92\/(-90)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4*k**2 - 11*k + 25. Calculate l(4).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 (base 7) in base 8?\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201)\/(-603)*63\/105?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19f24 (base 16) in base 10?\nAnswer: 106276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*n - 4 = 0, 3*s + 2 - 12 = -4*n. Suppose g - 10 = s*g. Let v = 4 + g. Solve 3*l - v = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 0 - (5 + 0 + 2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 24\/10)\/((-1)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 32 + 2 - 11 - 204*u. Let d be t(-5). Suppose -d = -6*a - 173. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 4*k**2 - 41*k - 27. Let n be j(-8). Let s = 36 + -15. Let m = n - s. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 19. Suppose 0 = j + 16 - a. List the prime factors of (-1 + 13)*(j - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1012 and 8668.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3044591l to millilitres.\nAnswer: 304.4591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 2701*s**2\/2 + 17641*s.\nAnswer: -s*(s - 2714)*(s + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, -3 in ascending order.\nAnswer: -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 134\/35?\nAnswer: 134\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:13 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4019*j + 4024*j - 37 = 2*x, -3*x = -4*j + 31 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-10))\/(9\/24). What are the prime factors of 8 - 2\/p*6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -0.155, 112?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382.8 - -382.734. Which is the biggest value? (a) 3.2 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3521651 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/(-6) + (-352)\/(-24). Let w(m) = 36 - f + m - 22. Let k(o) = 4*o - 1. Determine w(k(x)).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + 11?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -47.\nAnswer: -8\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001190266 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/15, -8, -63, 6, 0.3 in descending order.\nAnswer: 6, 3, 0.3, 2\/15, -8, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37308*j**5 + 2*j**4 + 18*j**3 - 2655267*j**2 wrt j.\nAnswer: 2238480*j**2 + 48*j + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3.11. Let b = -5.21 + j. Round b to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 12*o**2 - 8*o + 9. Let z be 711\/63 - (-4)\/(-14). Let i be c(z). Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3747 + -3747.000003327. What is d rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 12*l**2 - 10 - 164 - l**4 - 80 + 11*l**2 + 2*l**4 to y + n*l + p*l**3 + m*l**2 + k*l**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3103 - -6*3\/(-6). Let f be (c\/(-3))\/((-2)\/(-6000)). What is f rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1286.8*-823\nAnswer: -1059036.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*u**5 - 2*u**2 - 49*u?\nAnswer: 26760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/12 - 817\/258) + 7. Let c(n) be the second derivative of -1\/6*n**a + 0*n**2 + 1\/15*n**6 + 1\/10*n**5 + 21*n - 1\/3*n**3 + 0. Factor c(g).\nAnswer: 2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*q - 1978 = -207*q. List the prime factors of q.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01074, -0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(45\/4))\/((-8184)\/(-9207)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485425 is divided by 371351.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 889, 21.95, 3, -0.03?\nAnswer: 21.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 133, 244, 351, 454, 553?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 8*b - 9. Let v(l) = 4*l + 144. Let z be v(39). Suppose z - 220 = 10*a. Calculate d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:07 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 3*w**2 - 34 - 6*w - 6 - 3 + 2. Calculate the remainder when i(15) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(-3\/2))\/(a**(-1\/4))**(2\/23) assuming a is positive.\nAnswer: a**(-103\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329975728 to the nearest integer?\nAnswer: 18165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t - 75. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, b: 3}. Give prob of picking 1 q and 2 b.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.709, -16\/11, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 2*k + 2. Let d(a) = a**3 - a + 1. Let y(c) = 4*c**3 + 6*c**2 - 9*c - 2. Let f(m) = 5*d(m) - y(m). Let z be f(5). What is j(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t**2 + t**2 + 2*t - 3 - 2. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2670 = -3*s, -585 - 3020 = -4*s - 5*r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15218 + 15212 - 30430 + 51*l.\nAnswer: 51*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2034.947.\nAnswer: -406.9894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 18*w - 9 = -78. Let f = 13 + -8. Solve -4*h + 2*t + 3 = -w, f = 4*h - 3*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 13*y + 22. Let h be n(11). Let x = -8 - -21. Let u = -18 + x. What is the biggest value in h, u, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 93\/385 + (-14)\/(-49). Let p = -8\/11 + o. Which is greater: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -3.7. Which is the closest to l? (a) 0.5 (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 10*y - 128. Let f = 44 - y. Calculate the remainder when 21 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-980)\/30*(-6)\/(-4). Is -49 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61409 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2699 is divided by 224.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2817662 is divided by 183?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 7 - (-124)\/6*228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let g be j(-2). Let u = 64 + -28. Suppose g*x - 3*x = -u. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/((-12)\/(-64)) - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 9:18 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**3\/5 - 21*v**2\/10 + 6*v\/5 - 4. Factor o(d).\nAnswer: 3*(d - 2)*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610033673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)**(10\/9)*(n\/(n\/n**(-2\/7)))\/n*n*n*(n*n*n\/(n*n**(-7))*n*n)\/n*n)\/((((n**(1\/10)\/n)\/n*n)\/n)\/n**(2\/9))**(-15) assuming n is positive.\nAnswer: n**(-845\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, m: 3, l: 5}. Give prob of sequence lml.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 677383 * -5\nAnswer: -3386915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4606)\/(-6909))\/(10\/(-234))?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -271493 and -0.02?\nAnswer: 5429.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 divided by 468?\nAnswer: 27\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/5*(-5)\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6643.\nAnswer: 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 0 + 0)*(-3013 - 66*b + 68*b + 3566) in the form l*b + j + o*b**2 and give l.\nAnswer: -2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 32*x - 15. Let z be g(-5). Let n = -48 - z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from gnnpnnyypnpnbynnny.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -790?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -794085 divided by -4755?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5407202 rounded to the nearest 10000?\nAnswer: 5410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -140. Suppose k*v - 890 = 20*v. What are the prime factors of v?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 14) in base 12?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4378c (base 15) in base 4?\nAnswer: -310110330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10688430743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a day in minutes?\nAnswer: 8352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/7 + 100*z**3\/7 + 104*z**2\/7 - 100*z\/7 - 102\/7 = 0. What is z?\nAnswer: -1, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/5 - 238896*p**2\/5 + 4757135823*p\/5 - 9509494326 = 0 for p.\nAnswer: 10, 39811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.068842 and -0.2.\nAnswer: 0.0137684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3453684 and 7482982.\nAnswer: 44897892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11401 + -16101?\nAnswer: -27502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 74830.08 millennia?\nAnswer: 7483008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 0, 3, 2 in descending order.\nAnswer: 5, 3, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 + 6*p + 6. Let o be a(6). Suppose -140 - 442 = -o*j. List the prime factors of j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1082979705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116654454 divided by 6594\nAnswer: 17691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + 2*t**3 + 14*t**2 + 5*t + 172. Determine s, given that k(s) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-45 + -1) - (-29 + 352 + -341)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3748*b + 1745 wrt b?\nAnswer: 3748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28958.01 + 6745.\nAnswer: -22213.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 - -101101000110000110?\nAnswer: 101101000110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1629668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -593 or 960\/7?\nAnswer: -593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 21138?\nAnswer: -11\/10569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4884 + -35?\nAnswer: 4848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1 - ((-56)\/7 - 5).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-34))\/((-4)\/17))\/((3\/3)\/10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 22*g**3 - g**2. Let k(z) = -7*z**3. Give -2*b(o) - 7*k(o).\nAnswer: 5*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1568)\/(-10) + 4\/20. Let l be 32\/18 - (-4)\/18. Suppose -5*f - 4*d = -r, -3*d - 49 = -l*f - 0*d. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 7. Let n be z(15). Let h be -4*((-4 - -2) + 6\/n). Solve -5*d = -3*y - 3*d + h, 0 = 5*y + 5*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -72. Let x be 8\/18*(g\/8)\/(-5). What is the closest to -0.06 in -3, -3\/5, x?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91 - (6 - 15)) + -24 - -9?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) - (-5)\/18. Let t = 3 - 6. Let o be ((-1)\/(-4))\/(1\/t). Sort o, -2, h.\nAnswer: -2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 u when four letters picked without replacement from {b: 2, u: 1, o: 1, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5\/9 - 490244*c**4\/3 + 10294744*c**3\/3 - 229423072*c**2\/9 + 243147904*c\/3 - 94121472 = 0. What is c?\nAnswer: 4, 9, 367662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s - 11*s**2 + 17*s - 50*s - 24*s.\nAnswer: -11*s**2 - 96*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, d: 1}. What is prob of picking 1 x and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 9. Let z**2 - z**2 + u*z + 2*z + 8 + 2*z**2 = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -2 - 0\/(-3). Let x be (-77)\/(-7) - (-1 - q*2). Suppose -3*w + x = -f - 31, 4*f + 198 = -5*w. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 7. Let b be w(-3). Let n(l) = 2*l**2 + 22*l + 19. What are the prime factors of n(b)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134434693 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/3 - 34*k + 17. Let z(x) be the first derivative of u(x). Let r(f) = -11*f**2. Give r(z(q)).\nAnswer: -176*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4406 + -4404.4406. What is k rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 34. Let z be j(0). Let l = z + -31. Solve -y = -5*c + l*y + 4, 2*c = 2*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -35. Suppose c = -0*c + b. Calculate the highest common factor of c and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojj. Give prob of sequence jjo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 21. Let t(d) = 3*d**2 + 10*d + 14. Let f be t(-2). Let h be p(f). Solve 6 = 6*k - h*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 35 = 5*r, 2*a + 2*r = -r + 33. Calculate the greatest common factor of a and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -372, -349, -336, -339, -364, -417, -504?\n\"Answer: -m**3 + m**2 + 27*m - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let t(z) = -19*z**2 - 3*z - 3. What is -6*h(o) + 2*t(o)?\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 267\/4 (b) -5\/12 (c) 0 (d) 8 (e) 1 (f) -2 (g) -7\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 22399 = -21937 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -17.81\nAnswer: 12.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, v: 10}. Give prob of picking 2 h and 2 v.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 637647885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.1 from -1.6.\nAnswer: -28.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = -206. Suppose 5*s - 5*p - 233 = -48, p = -3*s + b. Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 3051620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 87021352\/5 = 17404271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mchm when four letters picked without replacement from cfcmfmmumfffffhf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 2*v = 13*c + 45546, -4*c = 2*v - 91082. What are the prime factors of c?\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3477164, -6954311, -10431458, -13908605, -17385752?\n\"Answer: -3477147*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y + 4. Let h be b(-3). Suppose -h*o = -9*o. Suppose o = -l + 5*l - t - 79, 0 = 2*l + t - 47. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 31*o - 25*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:27 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 7, q: 3, m: 1}. Give prob of sequence svsm.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - (1481\/132 - (-1408)\/(-128)) and 101\/3234.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/7 - 12552*a**2\/7 - 12709764*a\/7 - 583790976.\nAnswer: -4*(a + 672)*(a + 1233)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*v + 1458*v - 430769 + 861542 - 430771.\nAnswer: 1851*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - 3*d + 7. Let r(m) = -2*m**2 + 2*m - 1. Let f(z) = -5*i(z) - 15*r(z). Factor f(j).\nAnswer: 5*(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64006 (base 8) in base 12?\nAnswer: 134b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.107 + 2.943. Let t = f - 1.5. Round t to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91 and 16?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1968)\/7296 + (-14)\/133\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**7\/21 + 7*c**6\/30 + 7*c**4\/6 - c**2 + 40*c. What is the third derivative of q(z) wrt z?\nAnswer: -120*z**2 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1 + 6 + 0. Suppose -10*u**4 - 6*u**2 + 6*u**3 - i*u**3 + 2*u + 16*u**2 = 0. What is u?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffkbmy. Give prob of sequence fz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 6223356*g + 19365079951368.\nAnswer: (g + 6223356)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/6)\/(-7)*-5*7\/14.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12862*q + 81406 with respect to q.\nAnswer: -12862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 6*w**2 - 12*w + 10. Let q be g(15). Round q to the nearest one hundred.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**7\/420 - x**6\/48 - 11*x**5\/15 - 13*x**4\/3 - 70*x**2 + 8. Factor k(w).\nAnswer: w*(w - 13)*(w + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 526 + -1057\/2. What is the third smallest value in 19, x, -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, m: 1, r: 2, d: 1, q: 8, z: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -131.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4488769 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17612 + 2?\nAnswer: -17610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4062 is divided by 4056.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134125.\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 9*j - 17. Let f be m(-8). Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -2)\/(7\/(-7)). Let v = 12 + b. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - t - 3. Let c be x(4). Let i be 1\/((-2)\/(-2))*-11. Let k = c - i. Solve 4*l = -4*j + k, -l - j = 4*j - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (114 - -3)\/3 + -3. Let g = u + 2. What is the smallest common multiple of 2*6\/(-66) + 712\/44 and g?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.70269 to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**4\/t))\/t*t**(-11))**0\/(t**(-3\/2)\/t**(-4\/7))**(-23\/5) assuming t is positive.\nAnswer: t**(-299\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*z**3 - z**2 + 23*z**3 + 24*z**3 - z - 14*z to q*z**2 + p*z**3 + b + l*z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 c when three letters picked without replacement from cscbzchccb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + c**2 - 4*c + 4*c - 3*c**2. Calculate f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.182 * 9.\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -58*v**2 + 8 - 52*v**2 + 109*v**2 + 4*v + 17. Let w be y(7). Solve -z = -r + 7, 2*z - 2 = -w*r - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-1)*q)\/q))\/(q**(3\/4)\/q*q))\/((q\/q**(3\/4))\/q)**(4\/7) assuming q is positive.\nAnswer: q**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77724*o = -77663*o + 976 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2197, 1947, 1685, 1405, 1101, 767, 397?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(784 - 810).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (22 + -34)) + 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 2*q**3 + 9*q**3 + 11*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25181261461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-10) - (-401892)\/96300?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545.613mg in nanograms?\nAnswer: 4545613000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {o: 1, j: 1, d: 1, r: 2, m: 2, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 39. Suppose -4*m - 2*a - a - 58 = 0, 0 = -2*m + 5*a - 42. What is the remainder when z(m) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u + 318. Calculate t(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 74*b. Let f(v) be the second derivative of 5*v**4\/12 + 363*v + 1. Determine f(x(a)).\nAnswer: 27380*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*r = 575*r - 2208. Solve -89*t + r*t = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201 - 105. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -10*b + 85. Differentiate 3*k**4 - b + 6*k**4 + 5*k**4 wrt k.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - 40. Let i be (p\/3)\/4*6. Suppose i*k = 5*k + 20. Sort k, -3, -1.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 r when three letters picked without replacement from {r: 1, k: 1, o: 4, q: 3, b: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 28*n**2 + 2 + 6*n + 0 - 29*n**2 + 4. Let y(l) = l**3 - 6*l**2 + 5*l + 6. Let a be y(5). Give m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101693567 divided by -27169\nAnswer: -3743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 410. Suppose -22 - h = -p + 2*a, 0 = -a - 2. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o. Let y(l) = l**2 + 2*l - 1. Let u = -4 - -1. Let a be y(u). Let m(c) = 0*c**2 + 0*c**2 - c**a. Give m(q(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + 11*j. Give b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6536 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 187, -0.5, 3\/149?\nAnswer: 3\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 388179232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.58 * -93.\nAnswer: 53.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -21) + -3 + 15 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:13 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12800 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187254498 and 3.\nAnswer: 187254498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9961325l to millilitres.\nAnswer: 996.1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - (520 - 512) - (13 - -14).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) -1 (b) -0.5 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1736446 and -0.2.\nAnswer: -347289.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d = 36. Let b be (-11 - -11) + 3\/(d\/(-8)). Suppose b*s - 125 - 283 = 0. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o. Let h(d) = -39*d**2. Calculate h(c(t)).\nAnswer: -624*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-1\/2)*d)*d**(2\/13) assuming d is positive.\nAnswer: d**(17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15513?\nAnswer: 3, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 + 885*c**2 - 220*c - 211. Determine j(221).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43013534 (base 6) in base 7?\nAnswer: 13503613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*a**3 - 361*a**3 + 180*a**3 + 348)*(-6*a + 4*a - a).\nAnswer: 9*a**4 - 1044*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/5 - 2*z**3\/5 - 378*z**2\/5 + 1458*z\/5 - 216 = 0.\nAnswer: -15, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1, -20, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxwodro. Give prob of sequence sxow.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/8)\/(15\/(-8)). Let d(w) = -4*w**3 - 2*w**2 + 1. Let u = 3 + -4. Let y be d(u). Put h, -0.3, y in descending order.\nAnswer: y, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(16\/2 + -3). Let w be 1*s + -7 + 4. Solve 4*d - 14 = -w*a - a, -5*a - d - 5 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393281?\nAnswer: 7, 19, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.0374 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 990*i - 1. Let x(h) = -2*h - 410. Let f(k) = k + 82. Let n(z) = 5*f(z) + x(z). Give n(b(j)).\nAnswer: 2970*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27*4\/6)\/(-9 + 11))\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -704, -4, -15 in descending order.\nAnswer: 4, 1, -4, -15, -704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/16)*h)\/h**(2\/67)*((h*h**(-20)*h)\/h)**(-2\/13) assuming h is positive.\nAnswer: h**(56869\/13936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpv when three letters picked without replacement from {k: 1, v: 4, p: 3, w: 1, f: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzuuuuzuzzuzzuzzuu. Give prob of picking 2 u and 1 z.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 18. Factor 3*s**2 + s**2 - 5*s**2 - m*s**3.\nAnswer: -s**2*(6*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (17 + (-13 - 6))*-25774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 0.10936796.\nAnswer: 1.42178348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -950, -1760, -2570, -3380?\n\"Answer: -810*k - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 706*g - 12*g**3 + 23*g**2 + 29*g**3 - 26*g**2 + 2*g**3 - 6*g**3 wrt g.\nAnswer: 78*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77286 and 17034?\nAnswer: 219414954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/76713 and -97\/948094.\nAnswer: 36975666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 929 and 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:00 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*v + 0*v + 6*v + 0*v.\nAnswer: 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 244? (a) -5 (b) -0.2 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50828 is divided by 50824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - 309. Suppose 3*v - 50 - n = 0. What is the greatest common divisor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x - x**3 - 7*x)*(-19 + 2 + 3) as d*x**2 + z + v*x**3 + f*x and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from qqtvvouu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:26 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 352, 2926, 9892, 23440, 45760, 79042, 125476?\n\"Answer: 365*r**3 + 6*r**2 + r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223362 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -88*o**3 - 32*o**2 - 64*o - 176. Let i(z) = 8*z**3 + 3*z**2 + 6*z + 16. Calculate 32*i(g) + 3*s(g).\nAnswer: -8*g**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.561854346 take away -5?\nAnswer: 5.561854346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 2 - 2)*(-163 + 216 + 393) + (2*q - q + q)*(-2 + 3 - 5))*(-10 + 11*q - 5 + 14).\nAnswer: -9900*q**2 + 900*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10935040 by -2733760.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/((-24)\/32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 1. Let m be y(-1). Suppose -2*t + m*t = -90. Suppose 0 = -2*i - v + t, 4*i - 3*v + 2*v = 81. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 57*d + 6. Let g(t) = 5*t**2 + 114*t + 16. Calculate -4*g(n) + 7*v(n).\nAnswer: n**2 - 57*n - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1580 >= -1577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -132129, -528498, -1189107, -2113956, -3303045, -4756374?\n\"Answer: -132120*b**2 - 9*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3762970 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 54 = 15*j. Let c(l) = l**3 - l**2 - 3*l + 3. Let g be c(2). Sort j, g, 14 in descending order.\nAnswer: 14, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 134404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m**3 + 0*m)*(-5 + 3 - 1)*(-4 - 2*m + 4).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47559740 or -16?\nAnswer: 47559740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (0 + -2)\/(-2 - 0). Suppose -q*i = -9*i - 105. Let y be ((-9)\/i)\/(-3) - (-12)\/(-14). Does y = -1\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 3*m + 10. Let q be p(-5). What is the highest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199164193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -386 or -39675\/103?\nAnswer: -39675\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4450268 minutes?\nAnswer: 26701.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155\/4 + -39. Let p be 0\/4*2\/6. Suppose o + o - 5*g + 21 = p, -2*o + 2*g - 6 = 0. Is v less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102, -205, -310, -417, -526, -637, -750?\n\"Answer: -x**2 - 100*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (12 - (32 - (12 + -10)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**5 - 3*b**5 - b**5 + (-13*b - 3*b + 4*b)*(-1 + 1 + 8*b**4).\nAnswer: -94*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {e: 1, i: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from lllyyldy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -16*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -31*x**3\/4 - 12509*x**2\/2 - 80365*x - 135774 = 0.\nAnswer: -794, -342\/31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3054 = -57*n + 14511. Solve -203*i + n*i = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195774 is divided by 304?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -21*s**5 - 69*s**4 + 3888*s**3 - 6276*s**2 - 2112*s = 0.\nAnswer: -16, -2\/7, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 2. Let x(w) be the third derivative of -w**4\/6 + w**3\/3 - w**2. Let l be (14\/6)\/((-22)\/66) + 5. Calculate l*i(o) - 3*x(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y + 2. Let x = -2996 + 2998. Let n(b) be the third derivative of 0 + 0*b - 1\/24*b**4 - b**x + 0*b**3. Determine r(n(u)).\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*k + 16. Differentiate -8 + 6*w**k + 10 - 11 - 8 wrt w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 7441.\nAnswer: -2\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8498060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1824552 or 0.03?\nAnswer: -1824552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1373, -1410, -1449, -1490, -1533?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h**2 + 262*h + 513. What is the ten thousands digit of b(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-8)*(-125)\/(-375)*(-24)\/(-14)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*g + 4*d - 3*d - 80, 37*g = d - 1220 - 6 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/20 + 19*a**4\/12 - 17*a**3\/6 - 15*a**2\/2 + 10*a. Let b be k(18). Sort 5, 1, b in increasing order.\nAnswer: 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 513890\/71 - 7238. Do 0 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 81. Find the second derivative of -48*q - 179*q**5 + 88*q**y + 86*q**5 wrt q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -4*p**5\/5 - 9*p**4\/4 + 2*p**3\/3 + 9*p**2\/2 + 2*p + 260. Determine s so that a(s) = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/7)\/(2\/(-8)). Suppose 0 = -h*x - 20, -3*b + 5*x = 2*b - 4725. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 2*x + 5. Let v be l(0). Solve h + 5*m + 25 = -v, -2*h + 4*m = -10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 8. Suppose -t = -1 - w. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/11 in 2, 1, -0.5, -6, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(1 - -1))\/4. Let g(i) be the second derivative of -12*i + r + 0*i**3 + 10\/3*i**4 + 0*i**2. Let p(u) = -2*u. What is g(p(q))?\nAnswer: 160*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, 32, 706 in ascending order.\nAnswer: 0, 2, 3, 32, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = 2*l - 2*a, -5*l + 25 = -3*a. Let d(u) = l - 12*u + 17*u - 2. Calculate d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/198 - 64752\/36423?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-11)*(-5610)\/1275\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -624 - 1067?\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260.401 kilometers in micrometers?\nAnswer: 3260401000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 5*o**4\/4 - 6*o**3 + 33*o - 1. Find the second derivative of r(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d**3 + 42*d**3 + 41*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - -3.2. Let h = v - 3. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59\/3 - -20. Let j = 347 - 328. Which is the second biggest value? (a) j (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/2 + 9584331*n = 0. Calculate n.\nAnswer: 0, 19168662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -287b3 + -1?\nAnswer: -287b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3055849\/48 + 63661. Calculate the common denominator of 145\/378 and q.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:53 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95375922*d*h + 37070570*d with respect to h.\nAnswer: -95375922*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*x**4 - 8*x**2 - 23*x**2 - 3242*x**3 + 3243*x**3 - 2*x wrt x.\nAnswer: -1200*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14348 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.23 and -956.\nAnswer: -947.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*i - 29*i - 310 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -474839 plus 3?\nAnswer: -474836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075342.\nAnswer: 2, 61, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:23 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32723 rounded to 2 decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 329068 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 - 11*z**2 + 28*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in 77, 4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*i - 6 = -106, 82 = 4*p + 3*i. What is the second derivative of 4*q**5 + q + p*q**4 - 22*q**4 wrt q?\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -21 + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 5*t + 23, -2*z = 2*t + 14. Which is the closest to -2? (a) -4 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 60 - 36) + (1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -2*sqrt(396)*-3 + 5)**2.\nAnswer: 360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -0.3 (c) -5 (d) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 91.0000996. What is k rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose j = -4*i + 26 + 30. Solve i = 5*y - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16003139\/100719 + 1430\/9. Is z >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -750)*2*(-18)\/(-60) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -2 (b) -20\/9 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16603 is divided by 1824.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9937, 39788, 89541, 159196, 248753?\n\"Answer: 9951*x**2 - 2*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s**4 - 3*s**4 + 11*s**4 + (-3*s**4 - s**4 + 2*s**4)*(-1 + 4 - 2).\nAnswer: 23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -46. Let k = 18.966 + z. Let n = 5.034 + k. What is the nearest to -1\/5 in n, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d343 - 2?\nAnswer: d341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 147 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 9*l**2 + 7*l + 4. Let q be j(-8). Let r(f) = 0*f**2 + f**2 - 2*f + 9 - 24 - 8*f. Let t be r(q). What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 18*u = -48 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 10*k + 3. Let p = -39 + 29. Let q(r) = r**2 - 20*r - 5. Let w(f) = p*s(f) - 6*q(f). Find x, given that w(x) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:32 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-17)\/(-1))*-1. Let z = s + -6. What are the prime factors of z + (0 + 2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37010 = -81*t + 10559 + 46472. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:02 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2*k + 4. Let h be f(-5). Suppose -3*u + 2*r + h = 0, 3*r - 11 = 3*u + 7*r. What is the highest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28206028*n**3*q**3 - 2*n**3 - 10499*n**2*q**2 - 165*n**2*q wrt q?\nAnswer: -169236168*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 125689.33.\nAnswer: 125688.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - t - 16, 4*t + 16 = -0*t. Calculate the common denominator of 17\/10 and ((-324)\/(-20) + q)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*h + 3*s + 14, -3*s - 16 = -2*h. Suppose 0 = -2*o + 2*t + 88, -39 = -0*o - o + h*t. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 16. Solve -16 = 4*w - 2*n, -j*n + 22 = 3*w - 6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64, -737, -2040, -3973, -6536, -9729?\n\"Answer: -315*s**2 + 272*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 0. Suppose 5*u = -5*l - 10, -k = u + 3*l + 4. Let y(a) = -a + 4. Calculate y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 4*q + 0*q)*(-2*q - q + q) + 4*q**2 - 4*q**2 + q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -5. Let h = -229\/628 - -18\/157. What is the smallest value in q, -2\/3, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.114 + -0.71.\nAnswer: -0.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(3*28\/16).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/11))**(-2\/25)*((x\/(x*x\/(x**(7\/3)\/x)*x))\/x)**(-5\/4) assuming x is positive.\nAnswer: x**(6899\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 7. Suppose -r - 157 = -4*n + 19, 245 = 5*n + 5*r. Let u be 18\/n + 17\/w. Let y(x) = 2*x**2 + x - 3. Calculate y(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = 0, 11*u + 5*d + 5 = 6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -180*d**2 + 8*d - 17. Let b(z) = 60*z**2 - 2*z + 5. What is -14*b(l) - 4*v(l)?\nAnswer: -120*l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((27 - (0 - 1)) + -18 + 54)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.82 - 6.82. Let o = 22 + -23.6. Let f = o + 1.9. Sort -1, m, f in increasing order.\nAnswer: m, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 21. Let z = u + -21. Suppose -488 + z = -2*h. What is the greatest common factor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 15*g**5 - 711*g**4 - 1917*g**3 - 1641*g**2 - 450*g = 0.\nAnswer: -1, -3\/5, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 3*z - 6, -z + 5*z - 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1823.9 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b - 4 = 65*b. Suppose -3*j + b*j = 33. Suppose 5*y + j = 218. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1224 + 1905. Let c = l + -2721\/4. Find b, given that -c*b**2 + b + 1 - 1\/4*b**4 - b**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157115 divided by 67?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*f**2*m*x**2 + f**2*m*x - 3*f**2*x**2 + 684*f*m - 2*x wrt x?\nAnswer: -432*f**2*m - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by 6?\nAnswer: -202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10100 - -3?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682050*i - 573328*i - 765011*i.\nAnswer: -2020389*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 150. Calculate the remainder when l is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4463.478 decades?\nAnswer: 44634.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 48. Solve -r*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -679 + 395. Let t = g + 483. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -13. Let j(r) = 17*r - 1. Suppose -5*h - 176 = -4*b, -2*b - 2*h + 51 + 37 = 0. Calculate the remainder when b is divided by j(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210784714.\nAnswer: 2, 7, 15056051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*d - 179, -5*d - 2*a = a - 214. Suppose -5*u + d = -5*f + 4*f, -4 = 4*f. Calculate the least common multiple of 20 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 17)*(1 - 1 - 1)*(2*j + 27 - 27) to u + p*j and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 7*k = 4*n - 18, 2*n - 8 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -0.091\nAnswer: 1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Suppose -b = 4*o + o - 43, k*b = o + 109. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -71. What is the smallest value in a, -4, -0.05, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2665)\/20)\/(-41)*20\/25*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 36 = -3*v. Let r = -4 - v. Suppose 7*w = 2*w - 20. Which is the smallest value? (a) -2\/3 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let i be (-2)\/(-4)*-1*-50. Suppose -i = -6*o + o. Solve 0 = -3*h - o + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 17112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(22*3\/561 - 11680\/(-136))?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501876991.\nAnswer: 8161, 184031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let c(u) = -u. Let z(l) = -5*c(l) + 2*d(l). Let m(b) be the third derivative of b**5\/15 - 2*b**2. What is z(m(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.5 + -109. Let d = y + 21.5. What is the nearest to -1\/4 in 0.5, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*n**2 - 2*l + n**2*v + 6*n**2 - 3*n*v**2 + v**2 + 24*v wrt n?\nAnswer: 2*l*n + 2*n*v + 12*n - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 30 = -15*l. Let g be (21\/(-9))\/(1\/l). Solve 4*u = 2*r - g, -u = -2*u - r - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let a = -0.038 + 0.438. Let q = y + a. What is the closest to -2 in 1\/5, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1331) + sqrt(1331))*-6 + (1*sqrt(1331) - sqrt(1331)) + -4 - -4*2*sqrt(99)*-6*-1.\nAnswer: -120*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 - 2*c**4 + (14 - 14 - c**2)*(c**2 - 8*c**2 + 2*c**2) + 3*c**4 - 5*c**4 + 0*c**4.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 850025688 a multiple of 19233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 599.2956 millennia?\nAnswer: 7191547.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*102\/19 + -8 + 154\/19\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 129621342 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3 + 8*s**3 + 4*s**2 + 10*s + 11*s**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/10)\/((-2)\/10). Suppose -5*j - 29*v - 15 = -34*v, 3*j - v + 1 = 0. Let z be 17\/85 - -12*2\/5. Solve r*y + 3*t = -6, -3*t = 2*y + j + z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4109218*m - 8076992 wrt m?\nAnswer: -4109218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194485881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 + -112 + -3. Let k be l*1\/(2 - 3). What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7386, -12409, -17432?\nAnswer: -22455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-9 - (-3 - -1) - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t + 249. Let d be b(-42). Let n(z) = -z - 2. Let j(v) = 2*v + 2. What is d*j(o) - 4*n(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64033?\nAnswer: 64033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-2 + (-20)\/(-8)). Let h be (-11)\/(-5) - 0 - (-2)\/(-1). Which is the closest to -1? (a) h (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000239 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -65, -148, -257, -386?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32139985 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2909257 divided by 13\nAnswer: 223789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*x**2 + 148*x - 148*x)*(0*x**2 - 6 - 5*x**2 + 6*x**2) to s*x**3 + k + q*x**2 + y*x**4 + o*x and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6288 and -37\/1572?\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(-8)\/894. Let r be 762\/27*(-23)\/(-46) - 14. What is the third smallest value in r, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.829 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 78 = -c. Suppose 8*o + 780 = 20*o. What is the greatest common divisor of o and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9*l - 480 = 0. What is the highest common divisor of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 337 - 368 - ((-12 - -3) + 5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27420 divided by 4.\nAnswer: 6855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i - 10. Let w = -0.3611 + 0.2611. Let d = 1\/115 + 223\/805. Which is the closest to 2? (a) i (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/9 (b) 15\/7 (c) -32\/9 (d) 4.15 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 884*u + 320*u - 8171*u**2 - 365*u + 58*u**2 - 181*u wrt u?\nAnswer: -16226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 8. Let w(i) = -20*i**3 + 8*i**2 + 19*i - 6. Let c be w(-3). Let n = c - 549. Give m(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618058 divided by -3618058?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/30 - 386\/(-35). Which is bigger: a or 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 81*b**2 + 308*b + 22. Determine k(5).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001146393 rounded to 6 decimal places?\nAnswer: -0.001146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -3*n**5\/140 - 3*n**4\/14 - 6*n**3\/7 - 12*n**2\/7 - 5*n. Let y(s) = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.714224 times 65\nAnswer: -46.42456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 265, -277, 4, -5.\nAnswer: -277, -5, -3, 4, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4940 = 3*v. Let x = -685 - v. Round x to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**6\/60 + y**5\/16 + y**4\/48 - y**3\/12 - 89*y + 250. Let t(r) be the first derivative of a(r). Factor t(q).\nAnswer: q*(q + 1)*(q + 2)*(2*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -611 (base 8) to base 15\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 64.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 349339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a**2 - 2*a - 4. Let t(b) = -33*b**2 - 6*b - 11. Give 11*p(r) - 4*t(r).\nAnswer: 11*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 96 (b) 3 (c) 2\/29 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2 - 6*n**2 - n + 35 + 107 + 8*n - 2*n. Let b(a) = 2*a. What is b(t(g))?\nAnswer: -28*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (3 + -1 - 0). Does 55 divide (0 + 289 + (2 - w))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (84\/(-16))\/(1\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 895, 408, -79, -566?\n\"Answer: -487*z + 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(4*p + 0*p - 2*p) + 11*p + 24*p + 3*p + (0*p + 15*p + 12*p)*(-1 + 0 - 1) to the form t*p + d and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -187893 less than -187914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1\/((-3)\/87). Suppose w + 2*w - 4*j + 1 = 0, 3*w = -3*j + 27. What is the remainder when w\/(-5) - (1 - b) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 8:14 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**1)*c*c\/(c*(c\/(c*c\/((c**(-2)\/c)\/c)))\/c*c))\/((c\/(c**(-2)*c)*c*c)\/(c*c**6*c*c)) assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*l - 84*l + 242*l - 90*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 5\/2*h**2 + 0*h - 35. Calculate y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4260*j**2 + 2166*j**2 + 2 + 2098*j**2 + 95*j to o + v*j**2 + t*j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 - 0\/(-1 + -1 - 1). Let s be (-17 + v)\/(4\/(-42)). Solve -5*i - s = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-4) - ((49056\/48)\/(-73) + (5 - 0)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -166*w + 1305. Let h be s(-6). What is the greatest common divisor of h and 885?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13073+23\nAnswer: 22.86927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 0.1 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(7)*3*-1)**2*2 - (-6*sqrt(56)\/(-2*sqrt(8)))**2)*-4.\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0.04, -0.1, -2, 0 in descending order.\nAnswer: 25, 0.04, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2145 - -44?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 75*o**2 - 158*o + 418. Let j be a(77). Solve 5*n = -111*g + j*g - 4, -4*g + 7 = -3*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10954 is divided by 10937.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3347 + 3356. What is the remainder when 452\/3 - 4\/6 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/9 - -4\/9. Let r(a) = -2*a**3 + 17*a**2 - a + 23. Let q be r(8). Suppose -l - q = -2*f, 5*f = 9*f + 20. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1112 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -359310002*s**3 - 397041504*s**2.\nAnswer: -2155860012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 0*m + 4*m - m. Suppose 3*g - 3*u = 15, 0 = g + 2*u - 7*u - 9. Let q(v) = -1 - 3 + g - v**2. What is q(w(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -11*w + 0 + 0*w**2 + 5\/12*w**4 + 5\/3*w**3. Find the second derivative of h(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*c + 24 = 0, c - 29 + 7 = -5*u. Suppose u*d = h - 502, -1389 - 567 = -4*h + 3*d. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3536 by -16.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19875 is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 142*o**2 + 423*o**2 - 3 - 138*o**2 + o - 4*o - 135*o**2. Let p(n) = -3*n**3 + 9*n**2 - 4*n - 4. Give 4*j(l) - 3*p(l).\nAnswer: l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49860 is divided by 131?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d\/d**(-3))*d)**(1\/4))**32*(d*d\/(d\/(d**(2\/5)*d)))**(-9)\/(d*d**(-3)*d*(d**(-4)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669.162mm to nanometers.\nAnswer: 669162000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -61. Let c be i\/21 - (-3)\/7. Let b(a) = 12*a**2 + 3*a + 1. What is the tens digit of b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510719, -510712, -510701, -510686, -510667, -510644, -510617?\nAnswer: -510586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*q**3 - 8*q**2 + 9*q + 35192?\nAnswer: -39*q**2 - 16*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(833)*3)**2.\nAnswer: 187425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 5. Give h(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-15 + 11) - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/3, -2\/7, -297, -2 in increasing order.\nAnswer: -297, -2, -2\/7, -1\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658 and 2154733847.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1544 + -1541. Solve -3*a = g + 14 + 3, s*a - 5*g + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1203, -1243, -1293, -1359, -1447?\n\"Answer: -s**3 + s**2 - 36*s - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*d**2 + 33*d**2 + 58*d**2)*(d - 2*d - 3*d + (1 + 1 - 3)*(6 + 10 - 20)*(-1 + 2*d + 1)).\nAnswer: 636*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 + -6 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/((10\/(-15))\/(1 - 4\/8)). Put -1, 170, r in descending order.\nAnswer: 170, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*u - 7 = -20, 23 = 2*s + 3*u. Suppose -1221 + 3979 = s*m. Let f = m + -128. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*u = -12, 5*x - 2*u = -5*u + 30. Let h be -8 - (-8)\/16 - 351\/(-18). Solve 0 = -x*k - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(468) + (-4*sqrt(39) - sqrt(39))\/sqrt(3) + -4*((1*sqrt(325))**2 + sqrt(325) - -4*(-2*sqrt(13))**2).\nAnswer: -2129 - 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 3*g**2 - 6*g**2 - 226*g + 7*g**2 to m*g + i + b*g**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37359 and 460803.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 63*l - 60*l. Calculate the greatest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7554 to 2 dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/4 + 3)\/3. Suppose 2*s - 5*q = -i*q - 6, -3*q = -6. Solve n + 2*m - 2 = -n, s*m = 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 20316\/7*j - 6\/7*j**2 - 17197494\/7 = 0.\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 400 + 13?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-435)\/(-2)*(5 + (-11)\/3). Suppose 5*c = -5*t + g, 3*c - 10 = -2*c. Let m = 65 - t. Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.184384mg to micrograms.\nAnswer: 184.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*p - 89, 7*b = -2*b + 8*b + 2*p + 22 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(825)*1)\/sqrt(3) - (sqrt(11) + sqrt(33)\/sqrt(108))*1)**2.\nAnswer: 5819\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(20\/15*-2 - -2). Suppose -y - 47 = -g. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + z + 2. Let c be w(-7). Let t be (c - -2 - -6) + -3. List the prime factors of 0 + 93 + t + 0\/(-37).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61729428*h**3 + 5798468*h.\nAnswer: 370376568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -41 (b) -39 (c) 158.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 4*u**2. Let z(k) = -k**3 + k**2 + 1. Let t(s) = -w(s) + 3*z(s). Let q(b) be the first derivative of t(b). What is q(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 12*q**3 + 3*q**2 - 4*q**2.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 571371883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 13*w + 1. Let r be v(10). Which is greater: r or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169357, 169634, 169911?\nAnswer: 170188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1566, -3166, -4768, -6372, -7978?\nAnswer: -9586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7797488 by 4.\nAnswer: 1949372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-40)*(-10 - 0). Suppose 0 = -3*z + 6 + j. Calculate the remainder when 11 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.99 + 27.\nAnswer: 27.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*p + 62*p**2 + p**4 + 0*p + 2*p**3 - 62*p**2 in the form t + h*p**2 + r*p**3 + i*p + k*p**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 16*j - 3*j + 6 + j**2. Let g be r(-11). Let p = g + -35. Solve 0 = p*s + s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 + 110?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:39 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 + 1023*c + 493169. Give g(-228).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-1375) + 2 + 3416\/165?\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7017 - -9859. Suppose -4*c - c + t = 3*i, -5*i = 5. What are the prime factors of c?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1009\/44 + 91\/4. Which is the smallest value? (a) j (b) 0.1 (c) 2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 45*g - 13*g - 727*g - 67 - 67*g. Is k(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 1, -5\/4, 4.6 in decreasing order.\nAnswer: 161, 4.6, 1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0 + 1\/20*y**5 + 3\/2*y**2 - 1\/2*y**4 - 3*y + 1\/3*y**3. Give m(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 2*y**4 - y**4)*(-y - 4 + 4) + 66*y**5 + 21 - 37*y**5 - 25.\nAnswer: 33*y**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**2 - 11*l**2 + 2*l**3 + 16*l - 6*l**2 - 8.\nAnswer: 2*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 6 + 119\/17 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(1\/(-5)))\/1. Suppose 4*n - 17 + 1 = -w*g, 5*n - g + 9 = 0. Let m = n + 7. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -85.79. Let t = -0.79 + u. Which is the third smallest value? (a) 0.3 (b) -0.06 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 87*a**3 - 11*a**2 - 32*a. Let w(l) = -29*l**3 + 4*l**2 + 12*l. Determine 4*j(d) + 11*w(d).\nAnswer: 29*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i - 2*i - i + i. Let w(u) = -2*u + u + 4*u - u. Determine r(w(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55295178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -9) + -1 + -1 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/1351586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.1. Let h(r) = r**2 + 5*r + 1. Let j be h(-4). What is the closest to x in -0.3, -2, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23442?\nAnswer: 2, 3, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 5*f + 3. Let o be h(3). Let p be o + (0 - 0 - -1). Is (4\/(-2))\/(p\/(-155)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.947 rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 10. Let z be 1*85\/5 - (0 - -4). Suppose z*h - 6*h = 119. What is the remainder when h is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a - 6*a - 10*a + 18*a. Let b(j) = -27*j. Determine r(b(f)).\nAnswer: 162*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + 6. Let z be f(0). Suppose 4*k - 17 = 3*p, 0*p + 2*k = -3*p + 13. Let i be 2 + p - (-6)\/6. Put z, -2, i in increasing order.\nAnswer: -2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d = -60*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a - 3*a + 3311. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000487 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvhhkrik. Give prob of picking 1 i and 2 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16425*d = 3081*d + 8883*d + 1808*d - 3533049 for d.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 25342*p - 25372. Determine t(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (3 + 10) - -12) + -49.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951792.\nAnswer: 2, 199, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17755032.33 microseconds in weeks?\nAnswer: 0.000029356865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120927, -483723, -1088361, -1934841, -3023163, -4353327?\nAnswer: -5925333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*t + 132. Let d = t + -42. Let x be 4\/d + 2*-1. Solve x = -p + 5 - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/5)\/((-9)\/30). Let g be (5\/(-50))\/((-3)\/(-12))*-5. Solve v + i = g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 4*w + 2. Let v be (1\/2)\/(3\/(-24)). Let a be m(v). Let h(n) = 4*n**3 + n**2 + 2*n. Let t(q) = -q**3 - q. Determine a*t(u) + h(u).\nAnswer: 2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 19*x - 10. What is the tens digit of a(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42630838 + 42630838 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0 + 0 + 2*g. Suppose 0 = 5*n + 3*r - 16, 5*n - 14 = n - 3*r. Let q(m) = -4*m**2 - n*m**2 + 2*m**2 + 22*m**2. What is q(t(y))?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2154469\/50 - 43087. Calculate the common denominator of p and -25\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 29, 4.\nAnswer: 4, 15, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.176 equal to 0.028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1205017*b**2*r - 9*b**2*x**2 - b**2 + b*r*x + 10*b*r + 13*b - 337*x**2 - 3 wrt b?\nAnswer: 2410034*r - 18*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 4 = 13*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*p**4 - 2*p**3 - 7*p + 5.\nAnswer: 1476*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -15. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164547?\nAnswer: 3, 47, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -4, -0.062, -5, -5\/6, -59?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 29397682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o + 0*o)*(3 - 2*o**2 + o**2 + 3*o**2 + (7*o - 5*o + o + (-4 + 4 + o)*(2 - 7 + 4) - 2*o - 4*o + 7*o + o + o - o)*(-3*o - 2*o + 6*o)).\nAnswer: -6*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 12:31 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 536\/(-2)*(-3 + 7)\/(-1). Let r = s - -7395. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 12, 39, 2 in descending order.\nAnswer: 39, 12, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3 - d**2*v**3 - 3650*d*v**3 + 8*v**3 - 1248*v**2 wrt d?\nAnswer: -3*d**2 - 2*d*v**3 - 3650*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -34?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/5*l**5 + 0*l + 3\/5*l**2 + 1\/5*l**3 - 3\/5*l**4 = 0. What is l?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 190, -18, 1, -0.2, 6, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -28, 0.5, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2478 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -127028*f**2*j**2 + 671522043*f**2 - 92*j**4 wrt j?\nAnswer: -254056*f**2*j - 368*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 17 - 25*d)*(0*d**3 + d**3 - d**2 - d**2) as r*d**2 + i + g*d**4 + t*d + a*d**3 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 1383*q + 3474. Let t(a) = -a**2 + 8*a + 1. Let u(p) = 3*t(p) - w(p). Differentiate u(z) with respect to z.\nAnswer: -4*z - 1359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Suppose -61 = -5*q + f*g - 16, -g = -3*q + 33. What is the remainder when -6*((-28)\/6 - 1) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12739302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0*v**3 + 2*v**3 - v**3)*(256*v + 161 - 161)*(1 - 2 - 2).\nAnswer: 768*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/15 + 8*y**2. Let b(f) = -5*f. Give b(i(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 9*i**2 + 6*i - 8. Let g be p(-8). Solve 2*f - g*l + 3*l - 18 = 0, 0 = 2*f - 3*l - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -251682, 279 in ascending order.\nAnswer: -251682, -0.09, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -2*z**2 - 1\/2*z**4 - 2*z - 1\/20*z**5 + z**3 + 0. Let r be p(-7). What is the biggest value in 1, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(-19)\/b))\/b*b**(1\/6))\/((b**(-2\/7)\/b)\/b)**25)**49 assuming b is positive.\nAnswer: b**(23023\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 + 2*m - 9. Determine p(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from ncninnfaf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1544\/4677 + 5\/1559. What is the nearest to -195 in 0, 2, -1\/6, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/30 + 5*h**4\/24 - h**3\/2 - 4*h**2. Let f(v) = v**2 - 3*v + 2. Let p(d) = 5*f(d) + 3*y(d). Calculate p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 14*g**5\/5 - 209*g**3\/6 - 8*g**2 - 4*g. What is the first derivative of q(j) wrt j?\nAnswer: 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8058, -16233, -24434, -32673, -40962, -49313, -57738, -66249?\nAnswer: -74858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 1. Let h be z(2). Which is the fourth smallest value? (a) 4 (b) 1\/5 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33193517\/306 + 976681\/9. Let k = q - 870\/17. Calculate the common denominator of (-54)\/(-100)*(-20)\/24*7 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/4 + 3*v**3 - 9*v**2\/2 + 12*v - 2. Let p be d(8). Suppose -9 = -3*n, -2*n = p*x - 6*n. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001746994 to 5 decimal places.\nAnswer: -0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 865429.9 to the nearest 10000.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from xaxyatc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 35 + -24 - (-17 + (-2 - 1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let x(a) = -63*a - 71*a + 2337*a**2 - 39*a - 74*a. Let l(c) = -19*c**2 + 2*c. Let m(q) = 741*l(q) + 6*x(q). Give m(j(p)).\nAnswer: -228*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 7*n - 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - (-11 + 9 + -9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2443246 < -2443256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94245 is divided by 462.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -49668\nAnswer: -5\/49668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + 2 + sqrt(17) + -3)**2 + ((sqrt(17) + -3)*-6)**2*4.\nAnswer: -868*sqrt(17) + 3813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2535 or 2539?\nAnswer: 2535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5226 and -16.5.\nAnswer: -86229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4083 - 4081. Solve 5 = z*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + 1.2. Let v = -105.5 + a. Let s = -103.9931 - v. Round s to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and 17.\nAnswer: -4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 5*m - 54. What are the prime factors of c(-12)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -2919?\nAnswer: 291c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151, -487, -1051, -1843?\n\"Answer: -114*a**2 + 6*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {h: 1, y: 3, k: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -52\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59401232?\nAnswer: 2, 11, 43, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.126 (c) 5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15212803.\nAnswer: 109, 233, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n + 1. Let s(c) = -22*c. Let t(f) = s(f) - 2*z(f). Let v(l) = 2*l**2 + 25*l. What is v(t(a))?\nAnswer: 512*a**2 + 272*a - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m**3 + 80*m**3 + 8 + 2*m**2 + 2*m**4 - 24*m**3 + 2*m in the form j*m**2 + l*m + i*m**4 + u + f*m**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -457?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 300636695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 >= 10262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2 + 35*l + 1. Let n(r) = r**2 + 7*r. Let z(a) = 2*m(a) - 11*n(a). Let o be z(7). Let v = -2 + 5. Solve -o*d = -3*d + v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125107.\nAnswer: 125107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 4:42 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**22*(r*r\/((r*r**(2\/5))\/r*r*r*r*r))\/(r\/(r\/(r*((r**1*r)\/r)\/r*r))))\/((r**0)**13\/(r**(1\/3)*r**0)) assuming r is positive.\nAnswer: r**(269\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = 4*k, 0 = k - 0*k + 5*s + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -4\/3275.\nAnswer: 6550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (-4*((sqrt(1900) + (sqrt(1900) - (sqrt(1900) + -1)) + 5 - sqrt(1900) - sqrt(1900) - (1 + sqrt(1900))*-4) + -5)*3*4)**2).\nAnswer: -39455998 - 691200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/78 - (-3)\/(-13).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30029164 and 2832940.\nAnswer: 150145820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose 2*u + 8 = h*u. Suppose -y + 5*m - 11 = 0, 0 = y - 2*y + m + 9. Calculate the lowest common multiple of u and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 341\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/(-65) - 2\/10. Let z(j) = j**3 + 5*j**2 + 4*j + 2. Let d be z(-4). Let l = 0 + d. Is l > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (-109 - 15 - -101)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2.3, -0.4?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -820 * 1189\nAnswer: -974980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 7*i**2 + i + 4. Let n be c(7). Find v such that -n*v**3 - 4*v - 2*v**4 + 11*v**3 + 6*v**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -4, -9, -28, -67, -132, -229, -364?\n\"Answer: -q**3 + 2*q**2 + 4*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -1, -5, 74?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3203309?\nAnswer: 3203309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1326)\/(-143) + (-6)\/22 - (6 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 3. Let f be v(-3). Suppose 3*r + 3*y = f, -2*r + 0*r - 10 = -5*y. Let w(i) = -i**2 - i + 9. Give w(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49358 = 504*m + 1198*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*u + 16 = 2*s, -4*u - 32 = -2*s. Suppose r - 3*i = 2, 4*i - s = 4*r - 56. Is (-145)\/(-7) + 4\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*g**3*k**2*z - 2*g**3*k*z**3 - 51*g**3*z**3 - g**2*k**2 + g**2*k*z**2 + g*z**2 + k**2*z**3 wrt z?\nAnswer: -12*g**3*k - 306*g**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 4, r: 2}. Give prob of picking 2 r and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184 by 46.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) 0.16 (c) 0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 50 - 36 = 0. Solve n = -4*j + 4, 0 = -2*n + h*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2110 - j**2 + 4346 - 2028 to d*j + r + z*j**2 and give r.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177456 is divided by 2610.\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:55 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41889 is divided by 238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1325*v**2. Let m(r) = 33703*r. Calculate a(m(u)).\nAnswer: -1505057176925*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2564180527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-4\/7))\/u**(-2\/17))\/(u\/(u\/u**(2\/3))*(u*u**(-5))\/u))\/(u\/((((u*((u*u**(-2\/3)\/u)\/u)\/u)\/u)\/u)\/u)*u\/u**(-7))**(-1\/20) assuming u is positive.\nAnswer: u**(46859\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7318 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229983 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - z = 12 + 395, 405 = 4*a - 3*z. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 38 + (20 - 23)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 + 745442158?\nAnswer: 745441994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 - 2*n - 7. Give d(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493784.3l to millilitres.\nAnswer: 493784300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6780*s - 3*s**3 - 170 + 398 + 6432*s + 123*s**2.\nAnswer: -3*(s - 38)*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**2*m*v*z + 4*i**2*m*v - 6*i**2*v*z + 8*i**2*v - 8*m*v*z + z wrt m?\nAnswer: -i**2*v*z + 4*i**2*v - 8*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - j + 1. Let c(y) = -5*y**2 + y + 3. Let w(r) = -15*r**2 + 4*r + 10. Let v(k) = 7*c(k) - 2*w(k). What is 4*d(o) - 3*v(o)?\nAnswer: -o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 11*q**2 + 4*q + 5. Let k be u(5). Solve -3*w = -k*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let a = -115 + 111. Sort a, 1\/12, u in decreasing order.\nAnswer: 1\/12, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/10 (b) -30.3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 107, 0.2, 28834.6?\nAnswer: 28834.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 7. Let q(d) be the third derivative of -4\/3*d**3 + 0 + 8*d**2 + 0*d - 1\/8*d**4. Give -5*q(m) - 6*s(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 2. Let b be d(-1). Suppose 0 = -t - 5*a - 693, 5*a - 1416 = 5*t - b*t. Let p = t + 4349\/6. Calculate the common denominator of p and 15\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 48 = -3*s, 5*f - 8 = 5*s + 32 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/120*-81)\/(840\/2400*12\/(-14))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 15. Let q be x(9). Solve 4*w = 2*r - 12, -q*w - 2*w - 14 = -2*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1502 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 greater than 402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 times -3162230\nAnswer: 9486.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/4 + 5\/2 + -3. Let p be 63\/3 + 6 + l. What is the greatest common factor of 143 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 119*c - 22 + 379 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23048908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 3*d**2 + 5*d**2)*(-128 - 210 + 127).\nAnswer: -633*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**7\/70 + d**3\/6 + 3*d**2\/2 + 3. Let z(s) be the second derivative of n(s). Differentiate z(i) with respect to i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457*o + 17954756 = -16346440 + 8374672. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 64*m**2 - 2*m - 1. Calculate x(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 492, -34, -1\/42?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83795 - 4551813?\nAnswer: -4468018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -j + 4*r + 68, 0 = -2*j + r + 145. Calculate the remainder when j is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*k**3 + 0 - 1 + 72*k**3 to the form w*k**2 + l + r*k + b*k**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/654)\/((6 + (-560)\/96)*-2). Which is the third smallest value? (a) 0.5 (b) -8 (c) 0.4 (d) f (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3711, -7326, -10843, -14262, -17583, -20806, -23931?\nAnswer: -26958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 5*b**3\/3 + 3*b**2\/2 + 164*b. Let c(h) = 5*h + 1. Determine 7*c(u) - 3*g(u).\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 - (-1460203)\/106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154372426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88867.\nAnswer: 88867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 14*m**2 - m + 4. Determine v(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 20. Let x(z) = -2*z**2 - 5*z**2 + m*z + 3 + 8*z**2. Determine x(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63976, -63948, -63894, -63802, -63660?\n\"Answer: 2*q**3 + q**2 + 11*q - 63990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 20 - 2*f**3 + 4*f**3 + 3*f**3)*(153 + 36 + 69).\nAnswer: 516*f**3 - 5160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -10)*(-2)\/6. Let c be a\/(-15) + (-1)\/(-5). Suppose c = 2*u + u - 27. Solve u = -2*x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((2 - 4) + 1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**2 + 21*l - 21*l + 18*l**2 - l**2.\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 2*x**2 - 5*x - 4. Calculate i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3416 is divided by 216.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 80927405.\nAnswer: 323709620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131433034 (base 5) to base 16.\nAnswer: 27cd87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229880143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 7*n**2 - 5*n - 4. Let d be v(6). Factor 0*a - 2 + 2*a**3 + 6*a - 9*a**d + 3*a**2.\nAnswer: 2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c**2 - 441 - 2*c + 147 + 168 + c + 153 as s + t*c + l*c**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)\/z)**2*(z*z**(1\/5))**(8\/11) assuming z is positive.\nAnswer: z**(158\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 66 - (7 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {y: 1, v: 1, z: 2, a: 1, o: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50560 = 25*c - 8090. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.9 - -0.1. Let j = -436\/9 + 25706\/531. Let s = -246\/295 - j. Sort g, s, 3 in descending order.\nAnswer: g, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 332*o**2 - 62*o**2 - 16*o - 6*o + 6*o + 39*o**2 - 17. Is d(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25072882117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m. Let a(p) = -155*p + 3. Give j(a(k)).\nAnswer: -620*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - -11 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 6. Let b be (-3)\/(9\/(-2))*-9. Let j be l(b). Suppose 5*x + 28 = 3*d - j, -2*x - 16 = -2*d. Solve 2*n - d*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1048280*d**3*i**2 + 2*d**2*i**2*t**2 - 6*d*i**2*t**2 - 10*d*i**2*t - 18529*t**2 wrt d.\nAnswer: 6289680*d*i**2 + 4*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 38*v - 94. Suppose 46*w - 232 = 54*w. What is the remainder when i(w) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4935 + 4935 - 16*y + (-y - 4 + 4)*(0 - 5 + 13).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*i - 9*i = 99 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721 + 1770 = 7*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose s - 3*o + 8 = -8*o, 3*o = g*s + 12. Let x(p) = -p**3 - 3*p**2 - p - 1. Let r be x(s). Solve 0 = -r*w - 3 - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -0.2?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*g + 0*g + 36*g - 23*g - 59*g.\nAnswer: -106*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4122440 - -330320?\nAnswer: -3242120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000064 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssskqsfsxqsfqfsqosof. Give prob of picking 1 x, 2 s, and 1 o.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2137, 2203, 2269?\n\"Answer: 66*b + 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01532 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5524 + -5529. Which is the closest to -36? (a) -1 (b) h (c) 3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*v = 123*v - 2124. Solve -3*t = -d - 3, 3*t = 7*t - 4*d - v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y + 1796. Let f(c) = -c**2. Calculate f(m(k)).\nAnswer: -81*k**2 + 32328*k - 3225616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -40\/691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 - 6*k - 14. Determine u(-8).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662 and 45347?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -349237240 divided by 87309310\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 307 = 3*n - 481, 0 = -x - 4*n - 178. Let l = x - -196. Calculate the smallest common multiple of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j - 7. Let w(a) be the first derivative of 7*a**2\/2 - 8*a + 1330. Determine 5*l(d) - 4*w(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {d: 1, h: 1, a: 1, m: 1, y: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3) - sqrt(288))**2 + ((sqrt(28)*5)\/sqrt(7))\/sqrt(2) + -2.\nAnswer: 5*sqrt(2) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 5*r - 3*r)*(-r**3 - 5*r**3 + 2*r**3)*(7 - 7 - 14*r).\nAnswer: 112*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*a - 2835 = -527*a + 1003*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 7224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {v: 1, e: 5, u: 1, p: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-16 - -9) + 18 + -43.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w - 12. Let t be 7\/w + 4\/16. Solve 0 = -3*h - t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -250479 or -921?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.561 + 0.661. Suppose 2*o + 4 = 3*r, 2*r + 3*r + 2*o + 4 = 0. Let m be ((-2)\/(-4) - -1) + -1. What is the closest to -1 in i, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-6))\/(-5)*(-28)\/21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 196, 5, 4\/11, 2\/11, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(0\/(-3) + -1). Suppose 5*f - o*f = 0. Suppose f*w = w - 6. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, s: 1, o: 1, w: 1}. What is prob of sequence woi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -10001?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -653868 times -1\nAnswer: 653868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12001 (base 3) to base 10.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(6)\/((sqrt(2) + 1*sqrt(2))*1)*6*3)**2*3.\nAnswer: 26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.21 + 2.51. Let m = 0.16 + -0.06. Which is the closest to m? (a) l (b) -0.4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 - 208. Let s(d) = -3*d + 3. Let t(b) = -1. Give l*s(v) - 5*t(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 3*t - 286. Let d be c(0). Let o = d + 497. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*m - 555 = -23. Solve -3*y - m*q + 11 = 0, 0*q + 10 = -5*y - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 16) to base 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 84845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 - -118 - 104 - -41?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 24*d**2 - 23*d - 30. Suppose 6*u + 675 = 33*u. What are the prime factors of k(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1*4) + 3. Suppose 0 = -s*c + 523 + 217. Suppose g = 3*l - c, -4*l - 3*g = -l - 132. What is the highest common divisor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91.77 - -108.77. What is the closest to -1 in -2, m, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535280000 rounded to the nearest 1000000?\nAnswer: 535000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -327\/77 + 31\/7. Suppose -7*h = -2*h. Let f = 0 - h. Sort 0.2, v, f in decreasing order.\nAnswer: 0.2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 - 17 = 0. Let i = k + -8. Let j be i + -1 - (32000 + -2). Round j to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54016309 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 19742309463825?\nAnswer: 19742309463820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 163513 divided by -497\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(192) + 0)**2*-3 - (-2 + -4 + 1 + sqrt(3) + 5))*-6.\nAnswer: 6*sqrt(3) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**4\/4 + 2*v**3\/3 - v**2 + 4*v + 1. Let k be b(-3). Let c = 11 - 2. Calculate the highest common divisor of k and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 13*l - 8*l. Suppose -4 = -4*u - l*k - 0, -4*k = u + 11. Let y(d) = -d**2 + 4*d - 3. Determine y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -550*c. Let t(y) = 7*y. Determine j(t(z)).\nAnswer: -3850*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 14 - 8. Let a = 0 + 3. Let x = a + 1. What is the highest common factor of l and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*o + 1077 = 1075, -37 = -2*c - 5*o for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4539 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + 2*g)*(-g + 0 + 0)*(2 - 2 + 1).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in -12, 0.2, -0.0196, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 522686148 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from {l: 1, p: 4, d: 2, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 12, -4*k - 16 - 3 = -5*d. Solve -4*s = -z - 6, -2*s + 3 + d = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afpffpppqdpfpfa. Give prob of sequence fqfa.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -5442?\nAnswer: -5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 4*o - o. Let i = -173 - -176. Determine g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 403, 491, 559, 601, 611?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2377812, -2377810, -2377808, -2377806, -2377804, -2377802?\n\"Answer: 2*m - 2377814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 2, -50, 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*n**3 + 3*n**2 + 12*n - 29 wrt n?\nAnswer: 444*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.694 + 0.306. Let w = -4 + 5. Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 704 + 256. Let q be r\/25 + (-6)\/15. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1119280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1182.35mm to centimeters.\nAnswer: 118.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/4 (b) -3 (c) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*sqrt(40)\/(sqrt(200) + sqrt(8)) + (-1*(sqrt(5) + -4*sqrt(5))*3*-4)**2.\nAnswer: -5*sqrt(5)\/3 + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 2*s. Let q(l) = 12*l**2 + 17*l**2 - 11*l + 17*l**2 - 56*l**2 + 16*l**2. Give 11*h(y) - 2*q(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945614 (base 13) in base 12?\nAnswer: -2940216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -191 - (-140 + -177) - (2 + 32)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -16*i + 324. Let r be v(18). What is the greatest common factor of 324 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26843077*f**2 + 33299404?\nAnswer: 53686154*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 759761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 13, 52, 95, 136, 169, 188, 187?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, -3\/7, -0.3, 1.\nAnswer: -3\/7, -0.3, -2\/45, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 748547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10986)\/16)\/(90\/(-75)). Let c = 572 - o. Is c < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 105 = -0*a. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263442 divided by -433\nAnswer: 263442\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(88) - sqrt(88))*-5)\/(sqrt(2) + -1*sqrt(128) - 4*sqrt(18)).\nAnswer: -180*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*((-1 + -3 + 3 + sqrt(833))*4 + -5 + 4))**2.\nAnswer: -2520*sqrt(17) + 120177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 + w**4 + 4952*w**2 - 2146193*w wrt w.\nAnswer: 60*w**3 + 12*w**2 + 9904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180263?\nAnswer: 180263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/2*(-1641)\/(-2188)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*s + 256. Suppose -4*o + s = 5. Suppose -5*f + 23 = -o. What is the remainder when 15 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*z = 2*w - 15, -3*w - 25 = -173*z + 168*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 2*b**2 + b - 20. What is k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 - 144 = -p + 4*w, 2*w = 2*p + 18 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14757 < 180\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 257007.825 to the nearest one hundred.\nAnswer: 257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.027 - -2.583. Let f = x + -2.609372. What is f rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.942 - 0.082. Let j = r + -0.56. Which is the second biggest value? (a) j (b) 5 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1409980 and 31900.\nAnswer: 7049900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1394, 5785, 13100, 23339, 36502, 52589, 71600?\n\"Answer: 1462*y**2 + 5*y - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 84 = 0. Suppose m = n + n. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-156))\/(18\/117).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11 = 2*w - 2*u, 0 = 3*u - 3. Suppose b - w = -0*b. Solve 3*k + a + 6 + 1 = 0, -4*k - 1 = b*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/48 + 1 + 1504970\/80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90116879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -341.53 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232343\/252 + -922. Let g be 6\/27*(-1545)\/(-1848). Let y = g + p. What is the third smallest value in y, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6246, 12602, 18954, 25302, 31646?\nAnswer: 37986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232860*x**5 - 5349*x + 20.\nAnswer: 4657200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k**2 + 71*k**2 + 2 - 2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390814?\nAnswer: 2, 195407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/((y\/y**(1\/18))\/y)*y)*y)\/y)\/y**(-5))**(4\/7) assuming y is positive.\nAnswer: y**(178\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-20 - -11 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/5 - 1228*n\/5 = 0. Calculate n.\nAnswer: -1228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -335956546 from -0.73.\nAnswer: 335956545.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2024 = -7020. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 4182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*o - 47, 50 = -5*x - 3*o + 5*o. Let m(b) = 4*b**2 - 8*b - 21. What is the tens digit of m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158.31 * -0.274\nAnswer: -43.37694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*u**2 - 52*u**2 + 50*u**2.\nAnswer: -99*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 5\/6*m**4 + 4*m**2 + 0*m - 1\/60*m**5 + 0 - 1\/3*m**3. What are the prime factors of z(15)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/4))\/j)\/(j*j**4*j*j))\/(j**(-1))**(-6\/19) assuming j is positive.\nAnswer: j**(-537\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753473263.\nAnswer: 67, 373, 150193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 3, 6, -2445.\nAnswer: -2445, -8, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:41 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*s - 285, 5*t - 101 = -s - 6. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/(2 + -1) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5115*a**2 - 40014655*a + 78230.\nAnswer: 5*(a - 7823)*(1023*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*z - 2*z - 6*z)*(3 + 3 - 8) in the form g + i*z and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 13. Let g be s + 47 + (-6 - -8). Suppose 2*d - g = -0*d. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.6 - -33.5. Which is the closest to 2\/5? (a) 0.2 (b) -2\/3 (c) m (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5436, 10890, 16346, 21804, 27264, 32726, 38190?\nAnswer: 43656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opa when three letters picked without replacement from pakqohaqokko?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*o + 8, o - 2 = -4*o - r. Suppose -o + 11 = 5*p. Let k be ((-3)\/(-2))\/(21\/56). Put k, -5, p in descending order.\nAnswer: k, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 54 = -10. Suppose 0 = -q + i*c - 9, -124*q + 4*c - 4 = -128*q. What is the nearest to -4\/13 in 0, -4, q, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -669491\/88 + 7607. Let d = -11443\/11 - -1041. Let f = d + m. Sort -5, -4, f in increasing order.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 475 + -475.5. What is the biggest value in 0, 39, i?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -3, 2673, -4 in descending order.\nAnswer: 2673, 11, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11289 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + 2 + 15*w**2 - 3*w**2 - 4*w**2 - 7*w**2 + w**3 as b*w**4 + y*w**2 + s*w**3 + u + c*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/((-765)\/(-27))*5. Let x(r) = 2 + 4*r - 2. Let y(g) = 5*g. What is l*y(z) + 4*x(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411499941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y. Suppose 0 = -467*h - 450 - 484. Sort y, h, -4.\nAnswer: -4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from bybbbyb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**21)**(-14))**15 assuming k is positive.\nAnswer: k**(-4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + 0*m**2 + 3*m**2 - m**3.\nAnswer: -m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -561\/1539866 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 28. Suppose -s*w - 2*c = -15*w - 184, 0 = 2*w - 5*c - 91. Calculate the greatest common divisor of w and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.6 - 1.6. Let w = 242\/291 - -389\/582. Sort b, -3\/4, w in ascending order.\nAnswer: -3\/4, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34176054, -68352109, -102528164, -136704219?\n\"Answer: -34176055*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (5 + -1 + 4 + -2 - 11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000334611406 rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 506*i**3 + 4 - 481*i**3 - 29*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbbwbb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111776 by 998.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 172*f - 417*f + 19 as c + z*f and give z.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:46 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.85 at least as big as -1008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.054 and -96475.\nAnswer: -96474.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3166*x - 16 = -3174*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in -0.3, -0.4, 21\/5, -5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u**2 + 8*u + 7. Let c be h(6). Is c less than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28\/209 - -35543\/1463. Which is the biggest value? (a) 1 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109824 divided by 39.\nAnswer: -2816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -9*q + 24. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x)**29\/(x**(1\/5)*x*x*x**4*x))**(-8\/7) assuming x is positive.\nAnswer: x**(-2032\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = r - 42, -3*r - 4*b + 6*b + 116 = 0. Suppose -4*w = -2*w - r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*3*-3*3)\/(-2*sqrt(294) + 2*(sqrt(24)\/sqrt(4) + sqrt(6))) + 4.\nAnswer: 4 + 27*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.801 - -19.897. Let o = -19 + u. Round o to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2985428?\nAnswer: 2, 673, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14315 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10.037 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 10. Suppose -z - 3 - 5 = 0. Let n be u(z). Suppose -3*p + 2 = 3*d + d, -5*p + n = 3*d. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 26 - 101 - 148)*(46*m**5 + 15*m**5 + 70*m**5).\nAnswer: -22925*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43704 and 57402?\nAnswer: 139372056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.4 - -42.4. Let l = -6 - -9. Let p be (0 - 1) + (-6)\/(-8). Which is the closest to u? (a) p (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 + 26*u**3 - 11*u + 4 wrt u?\nAnswer: 24*u**2 + 156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 3. Let g be t(6). Let z = g - -7. Let c be 43\/4 - 105\/140. Calculate the highest common divisor of c and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 2. Let d be i(-1). Solve -3*k + 8*k = d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 28. Let t = 20 + -11. What is the remainder when t is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-15))\/2 - 30\/(-18)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 267, 636, 813, 798, 591?\n\"Answer: -96*o**2 + 657*o - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 4. Let x(y) be the third derivative of -175*y**4\/6 - 4*y**2 + 7*y. Let c be x(d). Round c to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/2 + 3*k**3\/2 - 5*k**2\/2 - 3*k - 24. What are the prime factors of s(-6)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + 2*(5 + sqrt(1900) + -5*(-1 + sqrt(1900)) + 3))**2.\nAnswer: -4160*sqrt(19) + 122276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 + 6330*d**3 - 25165*d**2 - 94740*d + 113580 = 0.\nAnswer: -3, 1, 6, 1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 503231801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1250 (b) -1.8 (c) 1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6367977 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, 5, -0.3, 4\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**3 - 45*r**2 + 5*r - 30. Let n(u) = -u**3 - 9*u**2 + u - 6. Let f(y) = 11*n(y) - 2*s(y). Give f(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.186 greater than 563819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 698*p + 697 = 0. Calculate p.\nAnswer: 1, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2 - 3*u + 0*u)*(-2 + 7 - 1).\nAnswer: -12*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 303*s**3 - s**2 - 2*s + 2. Let h be l(3). Let n be (-27)\/6*(-2)\/3. Suppose -h - 10732 = -n*w. What is w rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231025 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60.5543 - -0.1457. What is r rounded to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 - 252. Calculate the greatest common divisor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 397189205 to the nearest ten thousand.\nAnswer: 397190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let a = -7 + 11. Suppose 0 = -2*v - 2*i - 0*i + 4, -i - 13 = -a*v. Let s(x) = x + v*x - x. Give s(g(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1583909406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**2 - 18*w + 6064. Calculate t(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 286 = 335. Solve -2*g - 3*p + 3 = -3, 5*g = 2*p - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 4*q - 5. Let x be i(1). Let f(r) = -7*r - 1. What is f(x)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4319.3 and 568?\nAnswer: 4887.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 17*g + 764. Does 7 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y + 1424 + 4*y**2 - 717 - y**2 - 709 to the form a + w*y**2 + s*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12585839 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2303 + 2224 = 173*i - 2487 + 2516 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g. Let q(y) = -y. Let a(o) = 6*q(o) - 3*u(o). Let p(z) = 5500 - 5500 - 2*z. What is a(p(t))?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127257 + 127257 - 36*a**3.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21544\/104 + -4 - 4\/26 and 319.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -c - 777. Does 38 divide 1\/(-7)*-5742 + (-6)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*j + 4, 14 = -3*z + 5*j + 75. Let t = -5 - -19. Suppose 2*y - t = -0*y. Calculate the remainder when z is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - -14. What is the first derivative of -104*i + 7*i**3 + 5 + s*i wrt i?\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322 divided by 46\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 1477*t**6\/6 + 504*t**2 - 1267. Find the second derivative of d(f) wrt f.\nAnswer: 29540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3054 + -30?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/646 + (-1 - (-114)\/102)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/115)\/((-2)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-10)\/h))\/h**11)\/((h**(-4)\/h)\/(h*h**13)) assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*x**5 - 2*x - 100.\nAnswer: -4840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(6\/(-9)) + (89 - -1). Let j(w) = -w**2 - w. Let m be j(0). Suppose m = 2*h + 19 - z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((1 - -12) + (-11 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -152*l**2 - 320*l - 3. Calculate b(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(720) + (sqrt(720)*-1)**2) - (sqrt(35)\/(sqrt(7) - sqrt(7)*-1))**2.\nAnswer: -2885\/4 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00130322049 rounded to 6 decimal places?\nAnswer: 0.001303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3*f**5\/10 + 3*f**4\/4 - 19*f**3\/2 - 15*f**2 - 926. Determine h, given that p(h) = 0.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*r - 0*r + 52, 0 = -4*t - r + 29. Suppose 3*m = -g - 20, 0 = -5*g - 2*m - t - 27. Let k be 0\/g*(-1)\/1. Solve -2*n - 6 + 0 = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m + 39*m**2 - 93 - 81*m**2 + 44*m**2. Does 7 divide z(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -8, -w + 445 - 455 = -d for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -34) + (1 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314 + -310. Suppose 5*y - 17 = -54*z + 55*z, -u*z + y + 8 = 0. Solve 4*p + 7 = 5*p - 4*t, -t + 8 = z*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.676777743 rounded to two decimal places?\nAnswer: 10.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) -2 (c) 0.6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*m + 12, -t = -0*t + 5*m + 24. Is 78\/8 + (-1)\/t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/7 - (-38752)\/196.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4670405 rounded to 1 decimal place?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 30 = 17 - 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -29*i**3 + 3*i**2 + 15*i + 13. Let f be b(-1). Let j be 1\/(126\/f + -4). Solve 2*y + 21 = -j*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/36 + (-10)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -309\/190 - -200\/19. Let n = 5\/924 + 13675\/34188. Calculate the common denominator of q and n.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 4*x**3\/3 - 3*x**2\/2 - 3*x - 36. Let m(h) = -7*h**2 + 5*h + 5. Suppose 4*u = u - 15. What is u*c(d) - 3*m(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -2. Let r = 23 - g. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-15 - (-6 + 4)) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251265333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 23*v**2 + 24*v - 27. Let m be x(22). Suppose 21*k = m*k - 112. Let y = 28 + k. Is -1 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1912898?\nAnswer: 2, 13, 29, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-5 - -3)\/74). Let z = n - 21. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 1:22 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**3 - 15*q**3 + 136*q**3)*(17*q + 24*q + 11*q) as c*q**3 + s + b*q**2 + m*q**4 + l*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsrsrsssndsrsenr. What is prob of picking 1 e, 1 d, and 1 r?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f. Suppose f = -5*x + 9 + 11. Let r = -27 - -30. Solve -r*u - x = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-100)\/(-625)*-1*5. What is the third smallest value in 3, f, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(2\/33))*i**(-10))\/(i**2\/i*i**(-4)\/i))**(-41) assuming i is positive.\nAnswer: i**(9389\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {h: 3, k: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1834 and 32517737.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*22\/11550*2.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/336139 and 37\/201?\nAnswer: 1008417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/42 and -127\/1362.\nAnswer: 9534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4599106 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6456641 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: Three letters picked without replacement from {w: 5, e: 3, v: 6, o: 2, q: 2, x: 1}. What is prob of sequence wwx?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -61, -13, -1, -4, 0, 3317 in descending order.\nAnswer: 3317, 2, 0, -1, -4, -13, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - y - 24 = 4*v, 2*y = -4*v - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l - l + 5*l)*(0 + 0 + l).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**4 + 205*k**3 - 495*k**2 - 95*k + 655. Let m(f) = f**4 - 51*f**3 + 124*f**2 + 24*f - 164. Let j(i) = -4*c(i) - 15*m(i). Factor j(p).\nAnswer: 5*(p - 8)*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 242 = -50. Suppose -59*j + w*j - 1875 = 0. Let t = j + -611. Round t to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54042138 = 54042137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/(16\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 10:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032047901 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y - 55. Let b = 0 - -1. Calculate the remainder when (1*-27)\/(b\/(-1)) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (876\/60 - 15)*-5. Solve o*g - 14 = -4*f + 2*f, 2*g = 3*f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1424420221 (base 5) to base 9.\nAnswer: 7042481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2174 - 1137. What are the prime factors of k?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-110) - 21\/(-35). Let v = 72\/77 - u. Is v bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 36?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/30)\/(3\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 - z**2 + 3*z**2)*(0 - 4*z + 0) + (4*z - 6*z + 3*z)*(z**2 - z**2 - 2*z**2) + (2 - 2 + 2*z)*(82*z**2 - 20*z**2 - 40*z**2).\nAnswer: 46*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436 <= 6424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76.3? (a) 3\/2 (b) -52 (c) -6\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x. Let u(q) be the third derivative of -q**5\/120 + 4*q**3\/3 - 5*q**2. Let l(m) be the first derivative of u(m). Calculate l(y(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -364 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16)*(-9)\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*h + 5 = 539*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3211 - 3195. What is the lowest common multiple of b and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16731096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198 - 198 - 27*f)*(-3 + 5 - 3).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/(b\/(b\/((b**(1\/6)\/b)\/b*b)))*(b\/b**(4\/9))\/((b**(-3\/5)*b)\/b) assuming b is positive.\nAnswer: b**(359\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/7 - 52*z**2\/7 - 220*z\/7 - 300\/7.\nAnswer: -4*(z + 3)*(z + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 35c3?\nAnswer: 35c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457*p = -1872*p - 15355 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x - 1 + 27*x + 6*x + (5*x - 4*x - 2*x)*(-7 - 7 - 7) - 2*x - 2 + 2.\nAnswer: 45*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u. Let q(s) = 48*s + 18. Let g(v) = 24*v + 9. Let n(d) = -5*g(d) + 2*q(d). Let p be n(-1). Let c(x) = -p*x + 5*x + 12*x. Give y(c(a)).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/3)\/15)\/((-53)\/(-53)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202896 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 868.546 litres?\nAnswer: 868546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.543 and 1591.\nAnswer: 1590.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 h, and 2 b when four letters picked without replacement from ozhnhbnqboohbqbhzq?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnstenlnsssssnsnst. What is prob of picking 1 t and 2 n?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 - 11*k**2 + 9. Let h = 137 - 135. Let z(r) = -r**3 - 31 + 24 + 6 - 3*r**h + 3. Calculate -2*l(j) + 9*z(j).\nAnswer: j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - o)*(0*o + 0*o + 3*o**3 + (o**3 - 3*o**3 + 0*o**3)*(1 + 0 + 1) - o**3 - 4*o**3 + 3*o**3 + 4*o**3 - 4*o**3 - 2*o**3 - 1 + 1 + 2*o**3).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 151*a - 4977. Let h be f(33). Solve -2*z - 4*q - 6 = -3*q, 2*z - 4*q = -h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/7 + 584*d**2 + 24582*d\/7 + 36900\/7 = 0. Calculate d.\nAnswer: -3, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + i = -2*v + 9, -5*i - 15 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 10*x + 12. Let a(v) = 3*v**2 - 31*v + 37. Let c(w) = -2*a(w) + 7*d(w). Determine c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 6*h**2 + 11*h - 8. Let p be a(4). Suppose -5*c = -10*c + 5*j + 6005, p*c + 4*j - 4788 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3\/4 - 3735*b**2\/4 - 173910*b + 174845.\nAnswer: -5*(b - 1)*(b + 374)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 0*h + (-4 + 0 + 2)*(5*h - 4*h + 0*h))*(38*h - 38*h - 10*h**4 - 2).\nAnswer: 50*h**5 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 2. Let z = 0.0304058625 - 6.0304061325. Let v = c + z. What is v rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 3*s**5\/10 + s**4\/12 + 3*s**2\/2 + 10*s - 2. List the prime factors of w(4).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54894 from -37.\nAnswer: 54857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 51*k**3 - 210*k**2.\nAnswer: -3*k**2*(k - 10)*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 205, -12, 0.1, -3\/5, -2\/13, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219, -919, -4005, -10011, -19909, -34671, -55269?\n\"Answer: -162*f**3 - 2*f**2 + 2*f + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.758 less than 0.073?\nAnswer: -14.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlkhgagxxkxg. Give prob of picking 3 g and 1 h.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 3*v - 20 = 9*i, -5*i + 3*v + 40 = 0. What is the third derivative of -20*b**4 - 3 + 28*b**4 + 8 + b**i - 3 + 23*b**2 wrt b?\nAnswer: 60*b**2 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 39*n.\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 329 - 745 + 416. Let r(j) = -6*j + 5. Calculate i(r(c)).\nAnswer: 108*c**2 - 180*c + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.13728 nanograms in micrograms?\nAnswer: 0.03213728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -826 - -842. Which is the smallest value? (a) -5 (b) f (c) -0.1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)\/sqrt(2) + -3*sqrt(96))\/(sqrt(108)\/sqrt(4) + sqrt(3)*-1*-4).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799859.\nAnswer: 799859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((2\/(-5))\/2). Let v = 66 + -66. Sort v, 3, j in decreasing order.\nAnswer: j, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9075 and -0.033702188.\nAnswer: -9075.033702188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-621 - 40*n + 621)*(0 - 2 + 0) to the form c + l*n and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.215339826 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 11) to base 3\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5 = -5*h, -2*h - 3*x - 4 = 5. Let t be -1 - ((-49)\/20 - h\/(-12)). Put -2, -0.1, t, -3 in decreasing order.\nAnswer: t, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79055\/27 less than 2927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-12) + (-30)\/(-4). Suppose -c + j + 3 = 0, 4*c + 2*j - d = 11. Solve 0*k = c*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49\/3*k + 1\/3*k**3 - 14\/3*k**2 + 0.\nAnswer: k*(k - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 40 + 2 + 31 + (-1 - -68).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 + 1882*n**3\/5 - 815137*n**2\/5 - 66193704*n\/5 - 1237069584\/5.\nAnswer: -(n - 977)**2*(n + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8592 by -1432.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12317 is divided by 2064.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -400, -727, -1186?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(45)\/(sqrt(45)\/sqrt(125) - sqrt(9)))*1.\nAnswer: -5 - 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -202020110 (base 3) to base 2\nAnswer: -11100110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -853 (b) 2758 (c) -3\/4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 26. Let n be v(-5). Suppose n*i + 138 = 12*i. Suppose -3*z - 46 = -4*z + l, -3*z = -2*l - i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 125 = i, 0 = 5*u - 5*i + i - 332. What is the units digit of (u + -4)\/(-3 - 159\/(-51))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -14. Is l less than or equal to 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/40358795 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3777960 and -11\/530.\nAnswer: 200231880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351391 is divided by 1015?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 62. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 + 4\/(-8). Suppose 2*f = -3*a + 4*f - 4, t = -2*a - 5*f + 10. Suppose 3*p - 4*p + 21 = a. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 + -5)) + 1 + 77 + -66.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4152*k = -4129*k + 129 - 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -229*m**2. Let q(z) be the third derivative of -z**5\/20 - 58*z**2 + 4. Give q(f(x)).\nAnswer: -157323*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Suppose n*j - 6 = 18. Find the third derivative of -4*c**6 + j*c**2 - 40 + 40 wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11654652*k**2 + 4453*k - 3412 wrt k?\nAnswer: -23309304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27ca - -2?\nAnswer: -27c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -1 + 3 + -11 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4492 - 2159. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 1. Let r be j(-1). Let u(s) be the first derivative of 15*s**4\/4 - s**2 + s + 1. List the prime factors of u(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7185*s - 84039 = 7184*s, s + 336196 = 4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7382.497 years to centuries.\nAnswer: 73.82497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -18.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 2 + 18\/3. Suppose -1 - 1 = -y. Suppose -y*n - 1 = -5. Put n, -2, a in decreasing order.\nAnswer: a, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 348, 2794, 9392, 22218, 43348, 74858?\n\"Answer: 346*s**3 + 24*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 3306*l - 103744.\nAnswer: -2*(l + 32)*(l + 1621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 122\/8 - (-8)\/192*-6. Suppose -j = -15*a + 45. Let s(q) = -q**3 + 3*q**2 + 4*q + 3. Let b be s(4). Solve -b*h - 4 + 1 = 4*t, -20 = a*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 718825.6ml?\nAnswer: 718.8256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 and -49\/22256.\nAnswer: 22256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0428956*-17.\nAnswer: 0.7292252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523.362 weeks to minutes.\nAnswer: 5275488.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 - 9*b**3 - 8*b**3 - 10*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1950)\/95)\/(-5) + 2\/(-19). Find the common denominator of -71\/20 and ((c\/15)\/4)\/(1150\/(-875)).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218 + 82 - y + 121.\nAnswer: -y - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2244 in ascending order.\nAnswer: -2244, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 - 2*w + 2*w - 67*w**2.\nAnswer: -83*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(88)*1)\/((-3*sqrt(72) + sqrt(72))*5).\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 16*j + 3 = -13*j, -4*s - 2*j + 18 = 0. Suppose 0 = b + 5*r - s, 2*b = 6*b - r + 18. What is the closest to 0.1 in b, -3, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 6*i + 7. Let g(v) = -v - 1. Let k(w) = 6*g(w) + h(w). Let c be k(-1). Suppose 6 = a + c. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.643 - 0.043. Sort 2\/5, q, -1, -4.\nAnswer: -4, -1, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 - -230. Calculate the remainder when 231 is divided by (-28*27)\/(-12) - (-6)\/l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103191 divided by 649?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa (base 12) to base 15.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(4*k**2 - 10*k**2 + 31*k**2) + 0*k**2 - 3*k**2 + 0*k**2 to the form s + o*k**2 + v*k and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2852.4 and 1.\nAnswer: -2852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -7, -4, 2, 16, 1.\nAnswer: -7, -4, -2, -1, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170654 (base 8) to base 7.\nAnswer: 345242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 57.64. Let m = 2.01 + t. What is m rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1181, -1, 13 in increasing order.\nAnswer: -1, 9, 13, 1181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1820 divided by 35\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*a + 8. Put 0.16, 6\/7, a in ascending order.\nAnswer: 0.16, 6\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11773 + 11773. Sort 1\/160, n, -1\/9.\nAnswer: -1\/9, n, 1\/160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 509*j**2 + j. Suppose 4*b = 8*m - 3*m - 16, 11 = 3*b + 2*m. Let p be d(b). Suppose -10*s + p = -7*s. Is 34 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89202320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**4)))**(3\/34) assuming x is positive.\nAnswer: x**(-9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*a + 3*x - 72, -2*a - 5*x = -95. What is the remainder when a is divided by 53?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -111. Suppose i + v - 15 - 52 = 0, -4*i + 4*v = -236. What is the remainder when i is divided by (-6)\/((-15)\/36 - (-5)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-158)\/51 - (-2710)\/813. Factor 0 - 2\/17*o**3 - n*o**2 - 2\/17*o.\nAnswer: -2*o*(o + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.543 and 1609724.\nAnswer: 874080.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -273, 67, 3 in increasing order.\nAnswer: -273, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 156640 (base 7) to base 10\nAnswer: 31192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*q**2 - 3 + 3 + 82*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/17, -5\/4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 17 + -13 + -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 23. Let k be u(-7). Suppose 0 = -11*t + 7*t - k. Is t >= -18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let i be g(1). Let t(c) = -498*c + 2. Let r be t(i). Let v = r + -353. What is the remainder when v is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 46 = 3*x. Let c(w) be the second derivative of w**5\/20 + w**3\/6 + w**2\/2 + 10*w. Let m(n) = 6*n**3 - n**2 + 5*n + 5. Give x*m(v) + 10*c(v).\nAnswer: -2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 6560 and -306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 28 = 3*b. Let q(w) = -w**2 - 11*w + 17 - 3*w + w**2 - w**2. Let g be q(-15). Solve -3*l + b = g*n, -8 + 0 = 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:52 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q. Let r(g) = -2298*g**2. What is w(r(f))?\nAnswer: -4596*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 + 440*r**2 - 2895*r + 4860 = 0. Calculate r.\nAnswer: 3, 4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 65*d**2 + 212*d - 426. Let t be v(2). Calculate the greatest common factor of 96 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 4 + 4 + (i**2 - 2*i**2 + 2*i**2)*(3*i - i + 0*i) + 4*i**3 - 2*i**3 + 0*i**3 - 26*i**3 + 127*i**3 + 84*i**3.\nAnswer: 190*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.6*0.4.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5405004 (base 6) to base 13\nAnswer: 93aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 173*t**4\/6 + 47*t**3\/6 - 10*t**2 - 5*t. Is n(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 + 5 = 0. Let c(r) be the first derivative of 0 - 3 + 2*r**o + 4. Let g(f) = -f. What is g(c(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7362179 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3183*c + 3. Let u(l) = -3127*l - 4. Give 7*r(q) + 6*u(q).\nAnswer: 3519*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -150, -145, -130, -99, -46, 35, 150?\n\"Answer: l**3 - l**2 + l - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16232731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 889*y - 3928 - 3774*y - 271*y wrt y.\nAnswer: -3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 32, -2, 1, 0 in decreasing order.\nAnswer: 32, 1, 0, -2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = -5*y - 18, 0 = -5*p - 5*y - 10. Solve -5*d = -p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Let i = 2 - c. Let m = -1 - -6. Sort m, -2\/11, i in decreasing order.\nAnswer: m, i, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1607 - -2615. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 3811257?\nAnswer: 266787990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u - 13. Let h(b) = 7*b + 7. Let p = 1805 + -1799. Give p*q(a) + 11*h(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 38*g + 228. Let n = 729 + -735. Let x be v(n). Let m = 0.8 + 0.2. What is the smallest value in -0.2, x, -4\/11, m?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/8*1*2. Let z be 4\/2 - (-80)\/(-16). Is 181 + (z + (f - 3))*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Suppose 0*g - 20 = -q*g. Suppose 0 = g*p - 24 - 76. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*12*25\/(-1575).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/9)\/((-224)\/(-84)))\/(-1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5\/3 - 55*k**4 - 1645*k**3\/3 - 1345*k**2 + 1950*k = 0. Calculate k.\nAnswer: -15, -13, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 4*l)*(4 - 8 + 1) - 2 + 2 + 2*l - 2*l + 6*l - 3*l + (-4 + 2 + 3)*(2*l + 0*l + 3*l) to y*l + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, b: 1, v: 2, p: 1}. Give prob of sequence db.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 582*k + 11639. Let g be q(-20). Sort -9, 4, 0, 93, g in increasing order.\nAnswer: -9, g, 0, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 884*d**6 + 78*d**5*x + 100918*d**2*x - d**2 wrt d?\nAnswer: 106080*d**3 + 4680*d**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 146432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090701\/207 - 2\/23.\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285\/276 - (34 + (-175)\/(-105) + -31)?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**3 - 3*m**2 - 3*m - 1. Calculate o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.3. Let r(z) = -z**2 + z + 8. Let w be r(0). Let b be 10\/w*14\/(-35). Put o, -4, b in descending order.\nAnswer: o, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1, -34.\nAnswer: -34, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 3. Let a(i) = -2. Suppose -8*d + 2*u + 22 = -6*d, -d = -5*u - 39. What is d*n(q) + 5*a(q)?\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 1. Suppose -6*n + 8*n = -2*i - 368, -3*n - 5*i = 562. Let r = 182 + n. Determine c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 758515946 + 758515946.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -39841\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6932.57 + 0.4.\nAnswer: 6932.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2. Let n(m) = 2. Let c(h) = -9*h - 4. Let g(w) = c(w) + 2*n(w). Determine g(b(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 388873?\nAnswer: -5444222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1432 and 0.4.\nAnswer: 1432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 5295.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 576.9 and -58.\nAnswer: -33460.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 - 9 = 0. Suppose 6 = 3*z - y. Suppose 2*b = -z*r, -b = -2*b - r. Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4672)\/13520)\/(-73))\/((126\/(-35))\/9).\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -989\/6344 + 1\/488. Let h = 2 - 3. Let r = -0.8 - h. Which is the smallest value? (a) r (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-15)*(0 - 2). Suppose 7*a + 17 - 52 = 0. Let j = -474\/7 - -67. What is the nearest to j in u, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 2. Let b be a(4). Suppose 3*w + 4 - 1 = 0. Let y = -0.22 + 0.02. What is the nearest to b in y, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3.6826.\nAnswer: -18.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5927830 is divided by 865.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55114957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 7*a**2 + 3*a + 4. Let n be o(7). Let b = -51\/2 + n. Calculate the common denominator of b and (-106)\/(-4) + 8\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12700*j**3 - j**2 - 15023*j wrt j?\nAnswer: 76200*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3829017 is divided by 1928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 12 = -4*p, q + 3*p = -0*q - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 0 - 15\/1. Let k = v - -23. Suppose 168 = k*h - 127. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:09 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 5. Let i be z(3). Suppose p + i = -0*p. Suppose -2*n = 5 + 1. Sort n, p, 1 in ascending order.\nAnswer: n, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35 - (-10 - -30) - 287\/19. Let k = -3.1 - -0.1. What is the second smallest value in 3, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/28 + (-1308480)\/774648)\/((-8)\/(-6))?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*v = 15, -3*m + 30 = -4*v + 7. Suppose 6 = -41*s + 44*s. Let t(h) = -4*h**s - 4*h + 5*h**2 + 5 - 3. What is t(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h. Let v(o) = 11*o**2 - 13*o - 4456. Determine v(i(g)).\nAnswer: 176*g**2 + 52*g - 4456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 632813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + 8\/(-20). Let f = 5.13 - 0.13. Let n = 2 + -2.2. What is the nearest to n in k, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63283840 or 2\/5?\nAnswer: 63283840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {l: 3, f: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 134 = -12*u - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4 - 4300*i**3 - 153768*i**2 - 149472*i = 0?\nAnswer: -1038, -36, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165462516 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*q = -50, m + 9*q - 10 = 10*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6178449*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31655 (base 7) in base 14?\nAnswer: 2c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 12\/7 (b) -5 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -3\/11, 1, 5 in descending order.\nAnswer: 5, 1, 0.2, -3\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8111 or -186587\/23?\nAnswer: -186587\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*b**2*w**5 - b**2*w + 2*b**2 + 14*b*w + w**5 wrt w.\nAnswer: 320*b**2*w**3 + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-693 + 1)*(-7)\/35. Let r = v + -138. Let b = 0.0015 - 10.0015. What is the second smallest value in -5, b, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 21*z**2 - 12*z - 11. Let j be y(-11). Solve j*g + f = 2*g - 1, 5*f + 11 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -6*h + h. Let b = -7 - h. Suppose -3*u = 2*u - 50. Calculate the least common multiple of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 1. Let t be y(-1). Suppose -52*j - t = -49*j. Is j greater than or equal to 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Let m(g) = -g + 14. Let q(b) = -3 - 3 + 0. Let o(h) = -6*m(h) - 14*q(h). Determine c(o(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 1538*w**2 + w.\nAnswer: 1538*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/11694926 and 47\/160?\nAnswer: 935594080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 39. Calculate u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, n: 9}. What is prob of picking 3 k?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 20. Suppose 3*g - z*g = -56. Suppose 4*j = -4*w - g, -4*j - 18 = w + j. Solve 3*x + w*x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14296*b - 14354*b - 14682*b + 44085*b.\nAnswer: 753*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = 24. Let q be (-2)\/o - (-170)\/(-40). Which is the closest to 0.1? (a) -2 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 36678210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -43, -39?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -31219*r**2\/2 + 1348. Let s(m) = -2*m. What is f(s(l))?\nAnswer: 62438*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggzzgzzzzggg. Give prob of sequence gggg.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20220001 (base 4) to base 10.\nAnswer: -35329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/2*(-59)\/1180?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 + 3 = b, -2*b - 5*s + 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4956, 2, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r + 260 = -38*r. Let f be (-4)\/8 + 18\/4. Solve -f*n = 5*m + 2, -r*n - 3 = m - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-36)\/1144)\/((-44 - -45) + (0 - -2)) and -47\/8.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/15*-6*(-394 + 419 - (-303)\/(-12)).\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3*(-50)\/(-10)))\/(2\/(-1*730)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1. Let z(s) = 2*s**2 - s. Let b(o) = -2*i(o) + z(o). Let f be b(-2). What is the units digit of (-1)\/((1\/f)\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 + -23 - -4) + -3 + -20 + -29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4565\/13076 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-12)\/2 + 4. Suppose x*q - 4*u = -q + 28, 2*q = 3*u + 36. Solve -13 - q = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25827, 25979, 26131, 26283, 26435?\n\"Answer: 152*y + 25675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111596 and 38520028?\nAnswer: 4852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -106.43. Let j = -702.5 - -703. Let l = g - j. What is l rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26707608 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/16))\/((a*a**(3\/11))\/a)*a**0*a*a**(1\/6)\/a*a assuming a is positive.\nAnswer: a**(1099\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136008 + -34277. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 2 (c) 0.2 (d) -1672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 8*z - 40. Let m be u(9). Let g = -52 - m. Let o be (-7)\/(-203)*g\/(9\/(-6)). Which is the nearest to o? (a) 1\/3 (b) -1\/3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c. Let k(s) = -2*s. Let l(i) = -6*f(i) - 22*k(i). Let v(n) be the second derivative of 7*n**4\/4 + 323*n. Calculate l(v(g)).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6204325 and 68675.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from {z: 1, e: 4, t: 6, n: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -4\/5 (b) -8 (c) -59\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38546 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Let l(n) = 4*n - 128 - 16*n + 5*n + n + 5*n. Determine l(t(y)).\nAnswer: y**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let u be 2\/(-4) - (-58)\/4. Let t be 1*(4 - o)\/u. Which is the third biggest value? (a) -5 (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3426 - 1.6574. Which is the fourth biggest value? (a) 2\/5 (b) -0.4 (c) -3\/4 (d) -3\/5 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209 or -12697?\nAnswer: -12697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558351262?\nAnswer: 2, 3, 353, 1207909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.488 + -910.412. Let y = 917 + g. Which is the closest to -1? (a) 2\/3 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4294304?\nAnswer: 2, 7, 19, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 165 = -3*x, -3*r - 48 = -x + 12. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {w: 2, e: 1, d: 1, s: 1, j: 2, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.99912 - 43. Round k to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(12)\/sqrt(4)) - (sqrt(2) + (sqrt(2) - (sqrt(8)\/sqrt(4) + -1)))**2.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 11. Let n = u - -6. Let w be 1 - 2*(-3)\/((-18)\/15). Sort w, n, -5 in increasing order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1994 + 1248. Are i and -746 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrohrhhorro. Give prob of sequence hhho.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(-24)\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 6) in base 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/6 - 9*k**3\/2 + 17*k**2 - 24*k. Let r be h(-14). Let p(d) = d + 20. Is 40 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*q + 1, -72*m + 2*q - 10 = -76*m. What is the closest to m in -1, 597, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 10:57 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let z(g) = -7*g**2 + 4*g. Calculate -6*o(l) - z(l).\nAnswer: 7*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9547 + -105013\/11. Solve 0*d - h*d**2 + 0 + 2\/11*d**3 = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -25. Let u be -1*0*(-3)\/h. What is the lowest common multiple of 18 and 12 - (u\/(-2) - -2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110110010 (base 2) to base 16.\nAnswer: fb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580541 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.68197 and -2.\nAnswer: -2.68197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 - 2*c**3 + 8*c**2 = 0. Calculate c.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-18 + 72 + -10 - 18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/96197 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*o - 4, -6*a + 2*a + 7 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 454\/5. Let u = 0.07 - 8.07. What is the nearest to 0.1 in u, 0.1, n, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24665*b**3*t + b**3 - 2*b*t + 10*b + 81 wrt t.\nAnswer: -24665*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from oeooeeoooeee.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-534)\/(-6))\/(19\/57) is divided by 72.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -4) + 4 + -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68585 divided by -26.\nAnswer: -68585\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1492014*d*h**2 + 5*d*h + 27*d - 235657 with respect to h.\nAnswer: -2984028*d*h + 5*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1890\/225*(-490)\/588\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -237, -473, -709, -945?\n\"Answer: -236*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1086030*u**2 - 1067123*u wrt u?\nAnswer: -2172060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1116 and (116\/(-319))\/((-8)\/132).\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40723 by -6.\nAnswer: 40723\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q - 60 = 0. Suppose 0*z = -3*z + q. Solve -2*v = -z*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 37 - 35 - (-38 + -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054*-56091.\nAnswer: 3028.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 270082999 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: Suppose 28 = k - u + 4, 5*k + 4*u = 120. Suppose -3*a - k = 4*d + a, -2*a - 22 = 3*d. List the prime factors of -30*(4\/d + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1798 = -5*j - 368. Find the second derivative of 286*y**2 + 24*y - 1 - j*y**2 + 30*y**4 wrt y.\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -49. Let g = 0.21 - 0.01. Let q be ((-1)\/3)\/((-5)\/(-9)). Sort h, q, g.\nAnswer: h, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*j**4 + 159186*j**3 + 269238119 wrt j?\nAnswer: 212*j**3 + 477558*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1575 and -0.5.\nAnswer: -1575.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 3 + 1 + 3*t)*(-6 - 2*t + 6).\nAnswer: 8*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -28. Let r(b) = b**3 + b**2 - 4*b + 20. Let s be r(0). Solve 5*a - j*x + 7*x = -25, -s = 4*a + 3*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/520429596 and 44.\nAnswer: 520429596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2026ab + -256?\nAnswer: 202455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.5 (c) -0.03 (d) -1\/4 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/25)*t*t**18)\/((t\/(t*t**(-7\/8)\/t)*t)\/t*(t\/t**(5\/6))\/t) assuming t is positive.\nAnswer: t**(10751\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 2*v**2 - 21*v + 35. List the prime factors of f(8).\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4204 + 1762?\nAnswer: 6166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49\/717 - 57169\/28680. Find the common denominator of (278\/(-24) - -5)\/((-20)\/(-2)) and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1299425?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9370.6 grams?\nAnswer: 9.3706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/20 + 5*s**4\/12 - 2*s**3\/3 - 4*s**2 - 146*s. Calculate u(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1278.999994798 + 1279. Round s to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -150*s + 884. Give b(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -40bb1a?\nAnswer: 40bb1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -5 (c) -5\/2 (d) -51.8 (e) -30 (f) 2\/125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/3 - 5864*v**4\/3 - 459676*v**3\/3 - 9577552*v**2\/3 - 5933174*v - 2891928 = 0?\nAnswer: -2852, -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.460581 - -79.0606. Let l = 0.2 - 0.6. Let n = l - b. Round n to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*o - 14 = 0, -5*a - 7*o + 4 = -4*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j + 9. Let z be 0*(2 - 3\/2). Let c be w(z). Solve -c = 2*f - q, -2*f + 4*q + 0 - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10 + 28. Let q be d\/(-15) + 44\/10. Solve 0 = 3*z + 7 + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.2, 1, 0.109.\nAnswer: -0.2, 0.109, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 11:21 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -67389*h - 673912. Determine c(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31698 + -22554. Is l a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 4 = -23*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 275141, 550536, 825931, 1101326, 1376721, 1652116?\n\"Answer: 275395*y - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821391?\nAnswer: 3, 273797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24615140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973110659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 9*b + 650 = 0. Calculate the remainder when b is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2808 + 2808.9. What is the smallest value in u, 5, 0.1, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -181*w**3 - 4*w**2 - 307*w - 5. Let r(f) = 2*f**3 + f**2 + 2*f + 1. Let p(g) = 2*o(g) + 10*r(g). Find the third derivative of p(n) wrt n.\nAnswer: -2052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2874, -5978, -9078, -12174?\n\"Answer: 2*w**2 - 3110*w + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/39*5\/(4*225)*-5.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*x = -2*x, -2*w + 3*x - 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534322.\nAnswer: 2, 433, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 14*r + 1. Let q be z(-4). What is the units digit of 5345\/q - (-2)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.8 + -7.9. Which is the closest to t? (a) 0.6 (b) -2 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**1\/l))*l)**39\/((l\/l**1)\/(l*l*(l*l**3)\/l*l)) assuming l is positive.\nAnswer: l**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17566 or 1?\nAnswer: -17566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 741 - 740. Sort 14.1, h, -2 in decreasing order.\nAnswer: 14.1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 4868 - 14711 + 4868 + 4975.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5764266.\nAnswer: -5\/5764266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.1. Let q = 0.161 + -0.561. Let b = -86\/55 + 1744\/1045. Put -1\/3, m, q, b in ascending order.\nAnswer: q, -1\/3, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/4 - 43*j**2 + 885*j\/4 = 0.\nAnswer: -177, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -27, -11, 15, 51, 97?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354248?\nAnswer: 2, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + 0.84. Let k = g - 0.44. What is the fourth smallest value in -0.3, 0.4, 0.3, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*j**3 + 34*j**2 + 107105*j wrt j?\nAnswer: 1128*j + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -8. Suppose a*t - 3*t - 3*p = -18, 4*p = 4*t + 96. Let o = t + 31. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 3*g**4\/2 - 37*g**3\/6 + 89*g**2. What are the prime factors of m(9)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + u = 4 + 25, -3*y + 49 = 5*u. Solve 3*h - y = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*((-63)\/(-42))\/(9\/(-5))*(-54)\/60.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*m + 5*m - 51*m to the form g*m + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/27 + 10\/27. What is the nearest to u in -26\/5, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2904*v**2 - 2903*v**2 + 11643*v**2 - 2925*v**2 - 2908*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 1561664?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 5) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5 + 23*y**4\/12 - 17*y**2\/2 + 26*y + 2. Let r(v) = 7*v**3 + 8*v**2 - 6. Calculate -6*f(a) + 17*r(a).\nAnswer: -a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 232\/38169?\nAnswer: 232\/38169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234.27768 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/16335 and -104\/197505.\nAnswer: 2172555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9. Suppose 3*d + 5*c - 305 = o, -103 = -2*d + d - c. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmmqmmffmmffmqqqf. Give prob of sequence qmfq.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29 - 26 - (2 + 1 - 0). Solve 0 = -q*n + n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**2\/5 + 88*g + 370 = 0. Calculate g.\nAnswer: -185\/7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k - 116 = -83*k. Suppose -16150 = 4*t + 5*g, -k = g - 6. What is t rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10055 (b) 5 (c) -4 (d) -2 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -4543*s**4\/6 + 833*s**3\/3 - s**2\/2 + 60*s + 19. What is the second derivative of n(k) wrt k?\nAnswer: -18172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y**3 - 2*y**2 + 7*y - 4. Let z be u(3). What are the prime factors of 14\/35 - z\/10?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 2 + 2 + (-3*k - 1 + 1)*(-1 + 0 - 3) - 43*k + 31*k - 57*k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 25*w - 114.\nAnswer: -(w + 6)*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q. Let g(t) = 6*t**2 - 6*t. Calculate -g(n) + 3*x(n).\nAnswer: -3*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 31*a - 79. What is p(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1988\/710)\/(((-4)\/25)\/(6\/(-5)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1382779 + -909779. What is w rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88505 less than 686989713?\nAnswer: 686989713.88505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4374, -4267, -4166, -4071, -3982?\n\"Answer: -3*k**2 + 116*k - 4487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34529?\nAnswer: 11, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5*q + 5. Let v(x) = 2*x - 2. Let p(d) = -3*f(d) - 5*v(d). Let b(k) = 10*k**2 + 16*k - 16. Give 5*b(z) - 16*p(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Let b(m) = 26*m - 2. Calculate b(f) - 3*j(f).\nAnswer: 23*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 2*l - 5*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 876 + -3505\/4. Put -4, p, 2, 1 in decreasing order.\nAnswer: 2, 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1214 - 3763?\nAnswer: -254c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = -3*o - 12. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626, 1246, 1852, 2438, 2998?\nAnswer: 3526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 78 = 2*t, k - 4*t - 11 - 26 = 0. Suppose 3*m = 7*m - i - k, 2*m - 12 = 4*i. What is the units digit of ((-25)\/(-4))\/5*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:36 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/4 + b**3\/6 - b**2 - 13. Let m(q) be the second derivative of u(q). Is m(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5322 - 5096.9. Let h = j + -246. Let t = -15 - h. What is t rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45632*a**2*i**2 + 4*a**2*i + 2*a*i**2 - 650*a - i**2 + 73 wrt a?\nAnswer: -91264*i**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 172*a**2 + 65*a + 482. What is the remainder when 4986 is divided by j(-57)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 175, 164, 147, 124, 95, 60, 19?\n\"Answer: -3*f**2 - 2*f + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.0676 - 9.08. Let a = -0.0124 - b. Sort -0.2, 5, a, 3 in increasing order.\nAnswer: -0.2, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -1\/3, -0.4, -31, -1, 1\/31, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41070 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 43*o**2. Let c(n) = n**2. Let d(w) = -129*c(w) + u(w). Let a(q) = -15*q. What is d(a(x))?\nAnswer: -19350*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 21 - 19 = 0. Suppose -s*w + 379 = -221. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163389028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**3 + 24*c**2 - 7*c + 17. Let p(z) = 7*z**3 - 16*z**2 + 5*z - 11. Let y(n) = -5*d(n) - 8*p(n). What is y(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 4.98652, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -2\/21 (c) 0.026 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 12:52 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 1653*c**2 - 209352*c - 5153148.\nAnswer: -3*(c - 286)**2*(c + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 271.9 - 272. Let f = -4 + 6. Let x = -1 + f. Sort c, x, -1\/2.\nAnswer: -1\/2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*33\/9 - 2. Let b = 2 + -1. Let n be 48\/20*15\/b. Calculate the highest common factor of n and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 2*t**3 - 5*t**3 - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6375 - 6373. Let f(q) = 20*q + 22. Suppose c = -n + 6, 3*n - 5*n = -2*c + 4. Let b(u) = 3*u - n + 1 - 4*u. Give p*f(t) + 44*b(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 294 + 5*c**2 - 278 - 5*c**2 + 587. Let a(w) = w - 2. Let b(p) = -p + 1. Let z(v) = a(v) + 2*b(v). Calculate z(t(s)).\nAnswer: -2*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2*q*y**2 + 15000085*f**2*q*y - 2*f**2*q + 5*f**2*y + 27*q*y**2 + 224055*y**3 + y wrt y?\nAnswer: -10*f**2*q + 54*q + 1344330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/16*((-101920)\/(-210))\/91?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 23 - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 48 + 203 = -3*j, 5*j = -2*k - 375. Let z = j + 120. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*23\/((-5474)\/34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13132432 (base 5) to base 13.\nAnswer: -47453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 5:52 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 3*t**2 - 4*t - 2. Let b(p) = 3*p**3 + 6*p**2 + 9*p + 4. Let c(f) = 3*b(f) + 7*z(f). Is c(-2) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 3*a**2 - 7*a - 9. Let i be o(-4). Suppose 3*m + i*c - 109 = 4*c, -2 = 2*c. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 3*s + 0*s)*(-5*s + s + 4*s - 108*s**3) to the form n*s**4 + l*s**3 + b*s + f*s**2 + k and give n.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*d**2*i**2*z + 2*d**2*i - d*i**2*z + d - 5*i + z wrt i.\nAnswer: -254*d**2*z - 2*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**43*f)\/f)\/(f*f**(-1\/59)\/f) assuming f is positive.\nAnswer: f**(2538\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 144\/(-12) - (5 + (-22665)\/1300) and -56\/585.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**3 - 16*j**2 - 76*j + 60. Suppose 4 = -2*w, 2*w - 6 = -3*a + 83. Let d be q(a). Round d to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887388 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.53 and -46.\nAnswer: 24.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-874)*23*20\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*l - 37 = 0, 4*y - 6*y - l = -13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191865 and 3585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476918417.\nAnswer: 3, 13, 37869703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.058324 and 0.005.\nAnswer: -0.053324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -9.5. Let n = 3 + -2.8. Which is the smallest value? (a) -0.1 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.8 - -46. Let o = y - 0.2. Which is the biggest value? (a) o (b) 0 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -197 - 2039?\nAnswer: -2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 89*b**2 - 5*b + 3. Let r(m) = 266*m**2 - 13*m + 8. Give -8*n(c) + 3*r(c).\nAnswer: 86*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 146*y - 342*y - 350*y - 533*y - 639*y. Let c(k) = -3*k. Give c(f(w)).\nAnswer: 5154*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*s + 31, 7 = 2*y + s - 6. Let d be (-6 - -10)*1\/2. Solve -6*c**d + y*c + 2*c + 3 - 5*c + 2*c = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13770.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from {l: 6, g: 2, a: 3, f: 1, x: 4}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207903 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 1 + 1)*(-4 + 4 + 3)*(-2 + 4 + 0)*(-4*f**3 - 5*f + 5*f).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -7*s - 27. Which is bigger: s or -12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10)\/(2\/(-3) - 0)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 176?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11035087153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 + 0 = -t, 4*v = -t - 12. Let z = -84 + 505\/6. Let f = 7.89 + -7.99. What is the second biggest value in z, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -760 + 688. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2304 and 240.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4743)\/(-372)*(-52)\/(-39)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 899*q**6\/8 - 5425*q**3\/6 + 4*q**2 - 948*q - 2. Differentiate z(j) with respect to j.\nAnswer: 40455*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -440916893*s**3 + 7*s**2 + 36448*s + 38 wrt s.\nAnswer: -2645501358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-331.76.\nAnswer: -331.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1581083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 223\/(-32))\/(446\/(-1784))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = -14. Let v be (16\/f)\/((-2)\/(-15)). Calculate the common denominator of ((-1)\/3)\/(v\/535) and 19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-71640)\/(-207) + 4\/(-46). Let j = 365 - n. What is the remainder when 51 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5) + 136\/(-85) - -49. Let a = 157\/3 - l. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5))\/(96\/(-40) - -2). Let x = 0 - t. Let k be 25\/(-15)*(x + -3 + -2). Solve 0 = k*q - 5*c + 25, 3*q = -0*q - 4*c - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -83. Let b be -1*-4*14\/4. Is 9 a factor of 498\/b + (-15)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/30 + t**4\/6 + t**3\/2 - 23*t**2. What is the remainder when j(6) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2053 + -2053. Which is the closest to -2? (a) r (b) 2 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(sqrt(468) + 0))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 2. Let f = -14 + 34. Suppose 3*u = -u + f. What is the remainder when u is divided by s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - a = -8, 3*i + 3*a = 7*a + 13. Suppose -3*q + 6*q + i*j - 15 = 0, 2*j = -4*q + 26. Solve q*c + 6 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1215593 divided by -4843.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 6 - (0 - (1 - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34968\/5 - -6993. Let m = 0.024 + -29.024. What is the third smallest value in n, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329865 less than 0.3?\nAnswer: 329865.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2864 divided by 74\nAnswer: 1432\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23830752 divided by -2.\nAnswer: 11915376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 2*y - y)*(-196*y**2 + 386*y**2 - 192*y**2 + 5).\nAnswer: 12*y**3 - 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24174 + 60717. List the prime factors of v.\nAnswer: 3, 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -33217579.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 35 = 18. Suppose -5*r + 2*w + 61 = 0, u = 4*r - 5*w + 2*w. Suppose -2 - 2 = -k. What is the least common multiple of k and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 205, 409, 613, 817?\n\"Answer: 204*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 622, -2\/5, 1\/6747 in descending order.\nAnswer: 622, 1\/6747, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + p - 1. Let x be (2 + -2 + 0)\/2. Suppose x = 3*y - 0 - 12. Determine f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*n**2 - 234*n wrt n?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 36*y + 168 = 0. Suppose -y*o = -10*o - 202454. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96.3 - 96.4. Sort -0.32, 0.3, -2\/17, u, 1\/3.\nAnswer: -0.32, -2\/17, u, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 3*x - 2*x**2 - 69 + 69 + 51*x**2 + (3*x - x + 0*x)*(0 + 0 + x) as o*x**2 + p*x + d and give o.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13665903?\nAnswer: 3, 4555301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13104 (base 5) in base 3?\nAnswer: -1102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from {i: 6, c: 2, a: 1, x: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419607 is divided by 250?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/3 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 5:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 429 (base 11) to base 12\nAnswer: 36b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10056313.\nAnswer: 23, 509, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -404\/3 + 2017\/15. Let u be ((-9)\/(-5))\/((-6)\/(-40)). Find the common denominator of 12\/u - 98\/(-8) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuyuwwuwuyzzzuzuuirz. Give prob of picking 1 i and 1 u.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478861?\nAnswer: 478861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(96)\/(sqrt(4)\/sqrt(2)) + 4 + sqrt(30)\/(sqrt(250) - sqrt(10)) + sqrt(3))**2.\nAnswer: 189*sqrt(3)\/2 + 2619\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.441729mm in kilometers?\nAnswer: 0.000005441729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 take away 47082138?\nAnswer: -47082137.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.335 + 1.235. What is the nearest to -14.9 in 1\/2, h, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - -1000?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52999, 211983, 476951, 847903, 1324839, 1907759, 2596663?\n\"Answer: 52992*q**2 + 8*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 221.1, 6\/37, 29 in ascending order.\nAnswer: -2\/5, 6\/37, 29, 221.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010121 (base 3) to base 11.\nAnswer: -1194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -41.8. Let r = 76 - 76.2. Let f = r + b. Sort f, 2, -2, -0.5 in ascending order.\nAnswer: f, -2, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -v - 2*v + 92, -292 = 47*v - 3*s - 656 - 1049 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1656 + 1659. Let n = -27 - -62. Solve -q + v = s, -3*q = 2*q + 5*v + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 14*t**2 + 14*t - 8. Calculate the remainder when 74 is divided by b(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 7*i + 14. Let o be g(5). Let r be 10\/o*(-12)\/(-15). Suppose b - r = -1. Solve j + 0 = -b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 3*a**2 + 17)*(a - 2*a + 3*a)*(-2 - 2 + 2) as d*a**3 + y*a + h + n*a**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**(-13))**(-49)\/((p**(2\/5)*p)**(-1\/36)*(p*p**(-4))\/p**(-6)) assuming p is positive.\nAnswer: p**(-533\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745636219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(26*(-108)\/(-4680))\/(3717\/30)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238456 and 17448.\nAnswer: 715368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1500 (base 6) to base 14.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2206 and 9352337?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 6. Suppose 0 = 7*l - 6*l + 24. Let b be m(l). What is the highest common divisor of b and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m - 5*m. Suppose 5*r = 4*n, 5*r - 17 = -2*n + 13. Put m, r, 5 in decreasing order.\nAnswer: 5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 327*z**2 + 7*z**3 + 14*z**3 + 324*z**2 in the form g*z**3 + o*z**2 + m + p*z and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 8, j: 7, n: 1, u: 1}. Give prob of sequence aaaj.\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3735 * -459\nAnswer: -1714365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 36, 89, 176, 297, 452, 641?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224*j**4 + 8521 - 8521)*(-6*j + 3*j - 3*j).\nAnswer: -1344*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*o + 27, -4*k + 5*o = 3*o + 4. Let p = k + 3. Solve -i + 15 = -3*t - 6*i, p = -i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, and 1 e when three letters picked without replacement from {m: 1, t: 4, e: 2, h: 1, n: 2, b: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5946 - 12268. Which is bigger: o or -6320?\nAnswer: -6320","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-3) - 2\/6. Let s = -2 + -1. Find the common denominator of -57\/10 and (-502)\/84 - w\/s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -879.399 - -865.6. Let l = -20.013 + c. Let q = l + 34. Round q to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 25. Give g(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, -0.3, -0.8, -526, -2.06?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179031?\nAnswer: 3, 241, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(162) + 0)*4)**2*-4.\nAnswer: -2880*sqrt(2) + 20936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 40 = -5*a + 1, -4*p = 3*a - 15. What is the third derivative of 60*m**2 + 95*m**2 + 81*m**p - 8*m**6 + 56*m**6 - 25*m**6 wrt m?\nAnswer: 12480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 139\/3. Which is the second smallest value? (a) 1 (b) s (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) + (-40)\/(-140). Suppose -5*v = -4*p - 63, 4*v - 6*v - 2*p + 18 = k. What is the third derivative of -89*i**2 - 2 + 85*i**2 + 2 + v*i**4 wrt i?\nAnswer: 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*o - 19, -4*o - d + 4*d - 23 = 0. Is ((-158)\/(-3))\/(o + (-176)\/(-87)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1756817 - 756817. Round i to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -z + 5*x, -2*x + 842 = 2*z - 5*z. Let c = z - -285. Sort c, -28, 1, -1.\nAnswer: -28, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5 + j)*(-2*j + 2*j + 2*j) + (3*j - 5*j - 4*j)*(6 - 6 - 2*j).\nAnswer: 14*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - -680. Suppose -58*v + j = -56*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538*r = -549*r + 23914. Is r a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/(-1332))\/((-2)\/3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/77 + (-208)\/826. Let v(f) = -2*f**2 + f. Suppose -4 = 2*d - 6*d. Let g be v(d). Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 481210.\nAnswer: 3368470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -67. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from nqqqoee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let o be g\/(-6) - (-250)\/(-3). Find the common denominator of 63\/10 and (-841)\/o - 48\/(-84).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -4. Let o(v) = -4*v - 31 - 2*v - 12*v - v - 2*v**2. Let p be o(-4). Calculate the greatest common divisor of t and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 10 - 19*i - 7. Let b be a(-4). Calculate the highest common divisor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.1434.\nAnswer: 0.04302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1518, -895, 1.\nAnswer: -1518, -895, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/165*-1*(-5)\/(-2)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/75*(-2)\/(-8)*6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1616 + -1135. Is 45 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 p when three letters picked without replacement from pppppbpbvpbbbppbpbb?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2962 = 34*f + 16222. Which is smaller: -391 or f?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 1 + 4.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 - 18*t**2 + 4*t - 21. Let b(v) = -2*v**3 - 12*v**2 + 3*v - 14. Let o(g) = -7*b(g) + 5*u(g). Let f be o(-6). Sort 2, f, 0 in decreasing order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.1058 - 1122731.\nAnswer: -1122739.1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 366 = 96. Let x be ((-4)\/3)\/((-4)\/6). Suppose -3*b + 34 = -x*u, -u + m = 3*b + 2*u. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o + 243. Let f be z(-27). Solve f = -a - 93 + 90 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + -5 + ((0 + sqrt(68))*-6 + 1 + sqrt(68) + 1 + sqrt(68) + sqrt(68) + -2*(sqrt(68) + -1 + sqrt(68) + sqrt(68)) + 2)**2*-2.\nAnswer: -11091 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5178, -10286, -15308, -20202, -24926, -29438, -33696, -37658?\nAnswer: -41282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 688529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 12, 1 = -2*q - 2*q - 3*b. Suppose 0 = -3*k + q*k. Let v be (-9)\/225 - (k - 0). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:40 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2\/21, -1\/3 in descending order.\nAnswer: 2\/21, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 137808 to the nearest one thousand.\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-30)*-7)\/((3450\/(-200))\/69).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -222100134 (base 5) to base 13\nAnswer: -280500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/47940 and 89\/3792054.\nAnswer: 37920540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -17536?\nAnswer: 17544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -0.3, 4, 0.175, 2319, 1, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**8\/1680 + x**7\/120 + 11*x**6\/360 + x**5\/24 - 43*x**3\/6 + 10*x**2. Let w(h) be the first derivative of b(h). Factor w(i).\nAnswer: i*(i + 1)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 7\/4 (c) -9 (d) -1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Suppose 4*o - 3*f = 10, -n*f = -f - 2. Suppose -r + 1 = -o, -4*h + 1526 = 2*r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/6 - b**2\/2 + b - 2. Let o(s) be the first derivative of d(s). Let k be o(5). Solve -k*a - 5 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2, -382341.\nAnswer: -382341, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2486.938998 to one dp.\nAnswer: 2486.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105572, -212269, -318966, -425663?\nAnswer: -532360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2744\/3920)\/(56\/(-20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 6. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4249352891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176*z**3 + 54165*z**2 - 19968375 wrt z.\nAnswer: -528*z**2 + 108330*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 58. Suppose w*v - 4*v - 4 = 0. What is the first derivative of 4*g**3 - 25 + 0*g**v + 34 + 0*g**2 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303*z - 15757 = 114*z + 117786 - 23017 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 31132106*c**2 - 31132105*c**2 + 12 + 2 + 6*c. Give m(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7097.43 rounded to the nearest 10?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:37 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 54. Suppose 7*s + n = 12*s. Solve 0 = -m - s*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*h - 3, 5*l - 4*h = -3*h - 6. What is the biggest value in 5, l, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = a - 4 + 22, -g = a + 18. Let f be (-150)\/a + 2\/(-6). What is the third derivative of f*o**2 - 16*o**6 + 277*o**4 - 277*o**4 wrt o?\nAnswer: -1920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.03 - 0.03. Let v = -9.48 + 8.799. Let r = v + 0.381. Is m greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -31\/8 (c) 5 (d) 25 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 77. Let t be 30\/8 - p\/(-68). What is the nearest to -2 in t, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -12)*4\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1025615 rounded to 3 dps?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 11. Suppose 245 = 8*f + 29. Let m(y) = -11 + 4*y - 16 + f. Calculate n(m(h)).\nAnswer: 16*h - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 5*d - 2. Let n be y(-4). Suppose n*k - 20 = -2. Suppose p - 4*p + k = 0. Solve 2 = -p*u - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6897348, 6897352, 6897358, 6897366, 6897376?\n\"Answer: l**2 + l + 6897346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 7. Suppose -7*c - 22 = -43. Let j(t) be the third derivative of t**2 - 5\/6*t**c + 1\/12*t**4 + 0 + 0*t. Give 7*j(u) + 5*k(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**3\/3 - r**2 - r. Let j(y) = y. Let k(t) = 2*j(t) + s(t). Determine k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g + 3. Calculate the lowest common multiple of 4 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 561.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 545*t - 22943066 + 22997566 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -25. Let a be 2\/i - 748\/(-55). Find the second derivative of -a*b**5 + 20*b - 19*b**5 + 3*b + 12*b**5 wrt b.\nAnswer: -420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 12*s**3 + 30*s**2 + 28*s + 9.\nAnswer: (s + 1)**3*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(64)\/(3*sqrt(392))*1*-5 + -4)**2 + 1.\nAnswer: -400*sqrt(2)\/21 + 12497\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)**(2\/85)*(u**(-1\/3)\/u*u)**(-9\/14) assuming u is positive.\nAnswer: u**(283\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 498aa54 - -5?\nAnswer: 498aa59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*v + 162 = -w, 3*v = w - 50. Suppose -5*a = -3*a. Suppose 5*p = -0*p + 3*q + 41, 5*p + q - w = a. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-10))\/((-9)\/(-180)). Let x = v - 2. What is the least common multiple of 10 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 2, t: 1, j: 4, k: 1}. Give prob of picking 1 m and 3 j.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -105 (c) 6\/43 (d) 3 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*d + 1914, 2*d + 3*i - 26 + 1295 = 0. Which is greater: d or -640?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(352) - ((sqrt(22)*2 - sqrt(22))*5 - sqrt(22)))\/((sqrt(198)\/(sqrt(36)\/sqrt(4)))\/(sqrt(22)\/(sqrt(2)*2)))*5.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 477 - l**2 + 4*l - 232 - 236. Let c(p) = -p - 3. Determine -7*c(r) - 2*o(r).\nAnswer: 2*r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxbmmmbhxbtfbm. What is prob of picking 1 x and 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a\/(a*a\/(a**(-2\/7)*a)))**(3\/7)\/(a**(-1\/3)\/((a\/(a*a**(1\/3)))\/a)))**18)**(-30) assuming a is positive.\nAnswer: a**(-4320\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54216396 and 225432?\nAnswer: 108432792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39238 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1488 by -6.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*k + 7787 + 4031 + 14192 = 471*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 600 = -r, 0 = 4*r + 2*s - 3154 + 768. Let p = -1804\/3 + r. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*d + 1 + 15*d + 9*d**3 + 6*d**3 - 2*d**2 + 18*d**3 as c*d**2 + m*d**3 + u*d + n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18280 - 5743. Calculate the highest common divisor of x and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4 + 165\/10. What is the highest common factor of 126 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 12768.\nAnswer: 63840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b = 60*b + 5, -149376 = -5*q - b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6838*i**3*l**2*x - 24*i**3*l*x + 190*i**3*l + l**2*x - 8*l**2 + 5*l*x wrt l?\nAnswer: 13676*i**3*x + 2*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/(9275\/(-140))*((-625)\/(-126) - 5).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*x - 1119 - 403 - 740 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196986604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 262 - 111 - 97 - 2*c - 91. Let l(k) = -16*k. What is p(l(q))?\nAnswer: 32*q - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 287?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 9 + (-2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*-3)\/(sqrt(320) + sqrt(320)*1 - sqrt(320)) + 4.\nAnswer: 3*sqrt(17)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -0.2. Which is the third smallest value? (a) k (b) 3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3330.550174947013 - -3.550177668013. Let a = r - -3327. Round a to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 - 28*g**2 + 4*g - 20. List the prime factors of v(-12).\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2548)*1 + sqrt(2548) - sqrt(2548)) + sqrt(2548) + sqrt(2548) - sqrt(52))\/(sqrt(100) + (sqrt(100) - (sqrt(100)*2 + sqrt(100)) - sqrt(100))))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 5*y**2 + 2. Let l be m(-2). Let n(t) = -3*t**2 + 15*t - 25. Let c be n(2). Let g be 1 + c\/14*0. Sort l, 3, g in descending order.\nAnswer: 3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.9 minus -0.09?\nAnswer: -344.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3263 + -39155\/12. Which is the nearest to -0.2? (a) x (b) 17 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + (184\/(-6))\/(-2). Suppose 0*a + 5*a + 38999992 = -2*g, 4*g = r. Round a to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*c + 4*r, -5*c - 15 + 45 = 5*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1) + 2 - -331. Let s = g + -327. Suppose -2*w + 48 = w. Calculate the remainder when w is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019706199?\nAnswer: 37, 2617, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 36. Let z(x) = 4*x - 1. Give z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 12 = 4*h - 3, 2*h + 2*n = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -227*g - 69200. Calculate u(-305).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/2 - (-2 + 3 + 1). Suppose 0*v + 50 = 5*v. Suppose 2*x + 12 = c*g, 4*x - 2 = -2*g + v. Solve -i - g = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 + 0 + 1). Suppose -3*i + f = -2. Let v be 0\/((3 - i) + 0). Which is smaller: v or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 6, -3\/5, -2\/3.\nAnswer: -2\/3, -3\/5, -1\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - 75*s - 194. Let p be j(-22). Solve -p*w - 5 + 1 = -g, -2*w - 2 = -3*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/108 and -55\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 20 + 2. Suppose 186 + 18 = t*x. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j + 90. Let a = j + -11. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320809 is divided by 401.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1260)\/(-294)*((-4448)\/(-520) - (-2)\/(-13)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -68b43?\nAnswer: -68b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 8*w**2 - 3*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*a - 4 + 12 - 21 - 8)*(0*a**2 - 3*a**2 - 9*a + 2*a**2) in the form s + w*a**2 + p*a**3 + g*a and give g.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-840\nAnswer: -117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/212273 or 0?\nAnswer: 1\/212273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1209 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 - 9*d + (-2*d - 2*d + 2*d)*(-4 + 5 + 0).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i - 1. Let s(h) = -2*h**2 - 9*h - 8. Let x(l) = -k(l) + s(l). Give x(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 + m - 1. Let w(c) = c**4 - 4*c**3 + 4*c**2 - 2*c + 1. Let b(n) = -v(n) - w(n). Factor b(s).\nAnswer: -s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {z: 1, h: 2, l: 2, b: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/((b*b*(b\/(b\/b**(6\/5)))\/b)\/b*b))\/b)**(-2\/69)\/((b**(-1\/17)\/b)\/(b\/(b*b\/b**(2\/19)*b)*b)) assuming b is positive.\nAnswer: b**(7387\/37145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -18 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2566 or -33?\nAnswer: -2566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198213461.\nAnswer: 3, 67, 79, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:08 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 991, -5, 48, 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + 2 + (-116 - (-80 - 37)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {j: 2, v: 9, l: 5, k: 2}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -4 - (-2 + -5). Suppose 5*t - a = -1006 + 8678, -2*t + 3061 = -u*a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**5 + 9879*w**4\/5 + 1307166*w**3\/5 - 109503228*w**2\/5 + 151249272*w\/5 - 43063104\/5 = 0.\nAnswer: -358, 2\/5, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -1 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -643549.\nAnswer: 4\/643549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 8*o + 10 = 0, -4*j + o + 386 = 384 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b66a86 (base 14) to base 8.\nAnswer: -27411156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 11:41 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, -3, -4, 1, 42.\nAnswer: -351, -4, -3, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 + -146. Which is the second biggest value? (a) 13 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2 - 0)\/((-8)\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.40403 milligrams to kilograms.\nAnswer: 0.00004840403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65366597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 18*b**2 + 14*b - 81. Let g be p(-15). Let k(r) = -r**2 - 4 + 384*r + g*r - 754*r. Give k(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304088711 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -877 - 1899 = -39*z - 865. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20534?\nAnswer: 2, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523393 divided by 13.\nAnswer: -40261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 24 = -11*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4305 and 181930735.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -97. Suppose 0 = 4*f - i - 25. Find the third derivative of -f*b**3 - b - 40*b**2 + b wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 5*q - 8. Let h be j(7). Let a(p) = -p + 10. What is the units digit of a(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(1\/3)))**(-16)\/(z*z**1*z)**11)\/((z**(-1))**(1\/2))**(11\/2) assuming z is positive.\nAnswer: z**(-299\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4193891*h**2*m + 4400092*h*m wrt h.\nAnswer: 8387782*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r - 12. Let a(g) = -4*g. Let f be a(-1). Suppose -m + 0*y = r*y - f, -2*m + 4*y + 44 = 0. Calculate the remainder when m is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3428 and 46278?\nAnswer: 92556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-5) + -3 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28255807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 + 16501*c**3 - 13*c**2 - 3432783*c wrt c?\nAnswer: 24*c**2 + 99006*c - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = -18*y - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 331 - 51. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 - 8*i**3 - 14*i**2 + 68*i - 48 = 0.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -18, -24, -32, -42, -54?\n\"Answer: -z**2 - z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*s - 4*z - 10, -4*z = 5*s - 44. Suppose 0 = 4*y + 4 - s. Factor -27*m**4 - m**4 - 12*m**3 - 4*m - 4*m - 26*m**3 - 25*m**y - 1 - 8*m**5.\nAnswer: -(m + 1)**2*(2*m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 102, 90, 74, 54, 30, 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5048141, 5048139, 5048137?\nAnswer: 5048135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h + 1. What are the prime factors of d(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 8:47 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 3*y - 7. What is the remainder when d(6) is divided by (-2)\/(-8) - 47\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-4) - (-15)\/20. Suppose 0 = j*p + 123 + 37. Let x = 118 + p. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 110 = -20*o. Suppose -o*a + 7*a = -4*c + 245, 25 = 5*a. Calculate the highest common divisor of c and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 14*z + 31*z - 9*z + 8 = 0, -5*z = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18\/7 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 8. Let b be g(-6). Suppose -4*a + 2*a + b = 0. Suppose 5*k - 4*k = a. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b561 (base 12) to base 3.\nAnswer: -1000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = -4*o. Let x be o\/((-27)\/24 + 1). Let p = 23 - x. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1918, -3923, -5930, -7939, -9950, -11963?\nAnswer: -13978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7530.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose -5*f + u = 14. Let p = 262 - 260. What is the third smallest value in 0.1, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*n**2 - 313*n**2 + 62*n**2 + 255*n**2.\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 + 27*g - 69. Let c(f) = -f**2 + 0*f**2 + 26*f + 0*f**2 - 3*f**2 - 70. Let u(m) = 6*b(m) - 5*c(m). What is d in u(d) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2.7, -229, 2\/15, -0.1 in descending order.\nAnswer: 2.7, 2\/15, -0.1, -1\/7, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24028692 + -47?\nAnswer: 24028645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -3. Let 6*b + b**2 + 0*b**2 + 2*b**z = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156188200*p - 6 - 9*p**2 + 6 + 156188200*p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*r + 1)*(1 + 3 - 3)*(1 - 1 - 6)*(0*r**3 + 0*r**3 + 2*r**4).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhss when four letters picked without replacement from {k: 7, s: 3, h: 8}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= 337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 3*u**2 - 3*u. Suppose 116 = 64*k - 60*k. Let z = 32 - k. Let s(t) = -2 - 10*t**3 + 2 + 16*t + 16*t**2. Give z*s(b) + 16*g(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 16. Let r(b) = -6 - 2*b + 5*b**2 + 4*b - b**2. Let a(d) = 3*d**2 + 2*d - 5. Let o(p) = v*r(p) - 5*a(p). Determine s so that o(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -40*t**3 + t**2. Let k(r) = -118*r**3 + 3*r**2 + r. Give 2*k(b) - 7*n(b).\nAnswer: 44*b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 - 106?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(1296\/594))\/(2\/8).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 171763*o + 1030593. What is h(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24961 and 26?\nAnswer: 648986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2345b (base 13) to base 16.\nAnswer: -fbd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 f when four letters picked without replacement from xxxsfxxxx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - (sqrt(495) + sqrt(495)*1))\/sqrt(5) + (-1*(0 + sqrt(11)))**2 + (-1*sqrt(99))**2.\nAnswer: -3*sqrt(11) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11201788?\nAnswer: 2, 13, 31, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 239 = 5*r + 96, 3*r - 73 = 4*t. Calculate the remainder when r is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 17 = -4*n, -330*n + 334*n + 3*u - 6 = 7*u - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -62*s - 252. Let p be i(-4). Let a(l) = -l**3 - 6*l**2 - 12*l - 8. What is a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmzmxxxvz. What is prob of sequence vzm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 428 - 215 + 2*y**3 - 210 + y**3 - 4*y + 4*y + 0*y**3 + 2*y**3 - y**3 + (-y**2 + y**2 + 2*y**2)*(-3*y + 3*y + y).\nAnswer: 6*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 5. Let x = -121 - -124. Let a(w) = -w - x*w - w + 6*w - 1. What is -3*a(y) + f(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (2 - -7)) + -2 + 20 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 4*k - 3*k**2 - 7*k + 16*k.\nAnswer: -3*k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35752201715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:19 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 22*v**2 - 14. Let w be m(22). Which is the closest to 2? (a) -2 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrz when four letters picked without replacement from uuzrurucurzccuzqv?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 713512, 713522, 713544, 713584, 713648?\nAnswer: 713742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 12) to base 14\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 42 + 18. Suppose -4*j = v*j - 38. Is 22 a factor of ((-22)\/(-3))\/(215\/105 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1188 and 163\/17028?\nAnswer: 51084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*q**2 + 186*q**2 + 1212 - 74.\nAnswer: 43*q**2 + 1138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*a - 82 - 71. Solve 3 = -2*d + a*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/50 and 43\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4a7 (base 16) to base 3\nAnswer: -1122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (0\/1 - 0). Let b(x) = x - 6. Let g be b(5). Let v(w) = w**3 + 13*w**2 + w + 8. Let o be v(-13). Sort o, g, h in ascending order.\nAnswer: o, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let z(o) = -o - 2. Let u be z(-5). Suppose 0 = c + 1 - u. Let h(s) = c - 2 + 2*s. Calculate v(h(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1676862 divided by -6.\nAnswer: -279477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*4\/(-20))\/((-1)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -158, -313, -466, -617?\n\"Answer: p**2 - 158*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 - 2*s**4 + 8*s + 2*s - 7*s - s**3 + 0*s to b + x*s + p*s**4 + y*s**3 + i*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 20. Calculate the remainder when c is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 56*m**2 + 3468*m - 5. Let s(v) = 22*v**2 + 1733*v - 2. What is 5*s(l) - 2*z(l)?\nAnswer: -2*l**2 + 1729*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzbvcvz. Give prob of sequence ch.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a centimeter in millimeters?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*((-15)\/12 - 6\/(-3)). What is the hundreds digit of (-19 - u)*45\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 9*q - 59. Give y(-10).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41286216 and 2272?\nAnswer: 165144864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*y + 1415, 415 + 434 = 3*y - 5*w. Let u = -256 + y. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/36 + (-20)\/(-9). Suppose -3*g + 20 = c*g. Let a = -14 + 20. Solve -4*r + 2 = g*o - a, -5*o - 20 = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8*v - 30 = 0. Suppose 35 = -v*o - 5*u, -4*o + 4*u = -o + 49. Let d = -11 - o. Let t(m) = -m**3 + m**2 - m + 29. Calculate t(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10484\/7 - -47919\/32. Calculate the common denominator of -59\/28 and m.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -m + 11*a - 9, -m = 4*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 7)*(1 - 3 + 4)*(3*q + 4*q + q).\nAnswer: -128*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*n = 28, 3*p + 2*n + 0 + 0 = 28 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:19 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 8, -0.22, 0.5, -12, -2\/19?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/4*(7918\/333 - 26). Let y(p) = -7*p + 2*p + 0 + 10*p**2 - 5*p**2 + 5. Let f be y(5). Calculate the highest common divisor of f and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 9*b - 5. Let z be n(12). Let y = -17 + z. What is the lowest common multiple of y and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020210200011 (base 3) to base 2.\nAnswer: 10100010011011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-1 + 1 + 2)*(-189 - 24*t + 189) as g*t + h and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1712 = -75*s - 139*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/9 + (-2)\/(-3) - -30?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003742 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2256*a - 3. Give m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27490662, 54981322, 82471982, 109962642, 137453302, 164943962?\n\"Answer: 27490660*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5))\/sqrt(9)*-5.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*n - 268 = 0, 2*n - 400 = -3*f + 6*n. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 28003.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 219998, 880008, 1980026, 3520052?\n\"Answer: 220004*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*w = w - 42, 3*b - 111 = 2*w. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/388 and 50\/291?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1004 and 378600?\nAnswer: 95028600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -21*y**3 + 3*y**2 + 1. Let z(k) = k**2. What is j(f) - 3*z(f)?\nAnswer: -21*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 25*i + 65. Give l(-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-19 + 2 + 10)) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3 + 13. Suppose 2*x = 3*x + d. Calculate the common denominator of ((-1)\/4)\/(x\/(-202)) and -20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y + 0*y - 1 - 6*y**4 + 3*y + 4*y**4 as o*y**2 + a*y + g*y**4 + i*y**3 + l and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.0353229 - 4.3149382. Let t = -11.56039 + k. Let m = t - 0.16. Round m to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11880\/(-2640))\/(11\/4).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuzuffvfvff. What is prob of picking 2 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*p**2 - 1511134*p + 431752 = 0. What is p?\nAnswer: 2\/7, 215876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 1, t: 1, m: 1, d: 1}. What is prob of sequence cm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*t = 3*t + 48, -2*m - 3*t + 15 = 0. Let f = 13 - m. Solve -9 = c - f*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3228937072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a2b + -10a9?\nAnswer: 11952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r + 52 = 10*r - 80 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = 34 + 48. Let x = 27 - 13. Sort x, -1, p in descending order.\nAnswer: x, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 17*h**2 + 82*h + 323. Calculate j(12).\nAnswer: -2869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 11, s: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-4\/11)*f*f*f*f\/(f*f**36*f*f))\/(f**35*f**(-26)))**(-19) assuming f is positive.\nAnswer: f**(8911\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2803*b**3 + 650 - 650.\nAnswer: 2803*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 8, 5, 2, -1, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 1472454*y - 542030195529.\nAnswer: -(y + 736227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23067 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -612 + 185. Let s = 805 + k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from cihlccchqqiicxxxqci.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k = 9*k - 747 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = 3, 3*s = -3*o + 27. Let h be 10\/3 + s\/(-6). Solve 0 = 7*g - h*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.975 + -0.025. Let z = m - -15. What is the third biggest value in z, 3\/5, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 99, -0.1, 6\/47, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = 4. Let d be (n - -1 - -1)*-2. Suppose 3*o = 6*o - 4*a - 24, 0 = -o - d*a + 18. Calculate the greatest common factor of o and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:40 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -164630\nAnswer: -54\/82315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*s - 107. Let b(g) = 34*g + 1525. Let a be b(-47). Let j = a + s. What is the smallest common multiple of 15 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**6\/24 - s**5\/5 + 7*s**3 + 15*s**2 - 205. Let f(l) be the second derivative of p(l). What is the derivative of f(q) wrt q?\nAnswer: -15*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 149432.\nAnswer: 448296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*(i*i**(-6\/13))\/i*i)\/i*(((i*i**(2\/35)\/i)\/i)\/i)\/i*(i**(-5\/8)\/i)**31 assuming i is positive.\nAnswer: i**(-188477\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/2 + 38043*v**4 + 152151*v**3\/2 - 114126*v**2 - 152154*v + 152160 = 0. What is v?\nAnswer: -25360, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91188 is divided by 7048.\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275*y - 28691 - 17946 = 5638 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 k when three letters picked without replacement from pcpdckcccpcdcpckpp?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 131*g + 207. Determine t(42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*n - 34 = 0, -17*y + 16*y + 3 = 3*n. Let c be -3 + (y\/15)\/(4\/(-60)). Let x(r) = r**2 - 7*r + 9. Give x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*v**2 + 14929*v + 14920*v + 14894*v + 327*v**2 - 9*v**3 - 44743*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*p**3*u + p**3 + 309*u with respect to p.\nAnswer: 303*p**2*u + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 55*f + 58. Let p be v(-4). Let a = p + 173. Put -4, -3, a, -1 in descending order.\nAnswer: a, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 259.3626 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 841819 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14415 + -14387. Let o = -25\/2 + 71\/6. Is d less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1511 = 5*h - 2*q, q - 4*q = -4*h + 1206. List the prime factors of h.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478 and 10277?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**5 + 2*c**4 - 2*c**4 - c**5 + 0*c**5 - c**5 + (-3 + 4 - 3)*(c**4 - c**4 + 2*c**5) - 2*c**5 - 2*c**5 + 2*c**5 + 8*c**3 - 10*c**5 - 8*c**3.\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2140 - 203134?\nAnswer: -200444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 3842144.\nAnswer: 34579296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 945 = v, -5*a - 4464 = -4*v - 619. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31936 and 16384.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 337.69 + -4.69. Let u = b + -329. Sort -2, 2, -3, u in descending order.\nAnswer: u, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (4 + -8 - 1)) + (-7 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**3 - 20 + 30 - 10.\nAnswer: -49*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5634, 5635, 5624, 5595, 5542, 5459, 5340, 5179?\n\"Answer: -c**3 + 8*c + 5627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6089 (b) 1\/2 (c) -1\/2 (d) 4 (e) -1\/7 (f) -2 (g) -2\/589\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 54\/5 of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (7 + 17 - 81)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 + 8 = 0. Let f be 3501\/36 - t\/4. Let g = f + -16. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795648 is divided by 168.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766270 is divided by 651?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 232, 1, -45 in increasing order.\nAnswer: -45, 1, 21, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-10) - -6 - 6\/15. Suppose -182 = -5*y - x*u, u + 0*u + 112 = 3*y. What is the remainder when 110 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785841 is divided by 1078.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 - -1110?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -44525.\nAnswer: -44525.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/6*j**6 - 26*j + 5\/2*j**3 - 3\/4*j**5 + 0 - 5\/12*j**4 + 5*j**2. Determine l so that i(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(1539) - sqrt(1539) - (2 + sqrt(1539)*4)) + 4 + sqrt(1539) + (-4*1*sqrt(1539) - sqrt(1539))**2 + -4.\nAnswer: -27*sqrt(19) + 38473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/5)\/(6\/20). Let f = v - -18. Suppose -i - 5*g + f = 0, 9*i - 5*g = 4*i - 10. Which is smaller: 2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-26) - (-60)\/(92820\/78421)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2218 is divided by 171.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from jjzjjyjjzyjjyjj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12 + 119\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -3, -2, 4, 0.3 in decreasing order.\nAnswer: 4, 4\/3, 0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 13.52, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5340453*v**4 + 7*v**3 + 31896597.\nAnswer: 21361812*v**3 + 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5532 = 6*u - 19980. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 - 6 = -3*h, 4*h + 3*n = 23. Let m = h + -7. What is the units digit of 1\/(m*3\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.1 - -56.6. Let j = -3.5 + x. Let w = 4 - 6. Which is the nearest to 1? (a) -5 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**30*b**(-5))\/(b**(3\/16)\/b*b*b\/(b\/((b\/((((b**27*b)\/b)\/b)\/b))\/b))) assuming b is positive.\nAnswer: b**(797\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165 - 316 + 49*b**2 - 19*b**2 + 150 to t*b**2 + k*b + x and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5 - (-475)\/(-125). Let g(t) = 2*t**2 - 4*t + 3. Let y be g(u). Is 2853\/3*y\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 5*q + 12*q)*(-3 + 0 + 0)*(-6 + 3 + 2)*(-q + 0*q - 2*q) - 2*q**2 + q**2 + 2*q**2.\nAnswer: -116*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67642 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102617288 - 15*n - 102617288.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -4. Suppose z*q - 53*q + 352 = 0. What is the lowest common multiple of 48 and q?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m + 90. Let j be i(8). Suppose 18 = -j*p + 18. Which is the second smallest value? (a) -12 (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Suppose p + 0*h + 15 = 5*h, -2*h + 6 = s*p. Suppose 3*k + p - 3 = 0. Let a(w) = 1. Let y(x) = -2*x + 4. Give k*y(r) - 4*a(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -11 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41748339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - x = -6, -118*f = -120*f - 3*x + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 12}. Give prob of picking 3 g.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g + 91. Let s be k(11). Let u be (-1)\/(s\/((-8)\/(-2)))*0. Solve -2*z + 2*f = -z + 6, u = -z - f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 34. Let y = -2 + 1. Let p = 1 + y. Sort 2\/7, p, f in descending order.\nAnswer: f, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 7, u: 6}. What is prob of sequence ic?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 22 + 10. Solve 0 = 4*d + q - 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53722 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10531 + 10531.0017209. Round a to 5 decimal places.\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Sort -2, -4, z in descending order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7752164 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: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*p + 3 = -p, -2 = p. Sort 32, 2, m in descending order.\nAnswer: 32, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(((-20468)\/(-102))\/(-86))?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) + 3 + sqrt(612))*5 + 1 + 4*(sqrt(612) + (sqrt(612) - 2*sqrt(612))*-6) + 0.\nAnswer: 16 + 228*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237 or -0.73?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**2 - 31*w - 1047. Determine f(-20).\nAnswer: -3227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1378 - 1118 + 431)*(-4*q**4 + q**4 + q**4).\nAnswer: 4130*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 times -5?\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*v - 50*v - 10. Solve -v*r + 3*r + 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*l - 295. What is the remainder when l is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/42)\/(1*1\/(-6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15 - 96. Let a = 38 + o. Let s(c) = -c**3 - 30*c**2 + 19*c - 21. Let y(z) = -6*z**2 + 4*z - 4. Let p(n) = a*y(n) - 2*s(n). Factor p(u).\nAnswer: 2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:46 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174719 + -174716. Let y be ((-2)\/22)\/((-2)\/4). What is the closest to -0.2 in y, -2\/3, -3\/7, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 0.024\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:04 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlll. Give prob of picking 1 n and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*h = 46 - 34, 3*b + 4*h = 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyll when four letters picked without replacement from lllzylyy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/42 and -53\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 4*i**2 + 3. Let t be o(4). Let d be (68\/(-16))\/(0 + -1). Let l = d + -4. Which is the closest to l? (a) -4 (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 89 = 5*b - 3*r, 0 = -3*b - 5*r + 41. Suppose 30 = 4*j + j. Let u(g) = -g**2 + 7*g. Calculate the remainder when b is divided by u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-66)*(-24)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(6 - 0)*1. Suppose 3*g - 39 = l*g. Let j = -1 - g. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96228?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (450\/20)\/3*12\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 - 7*h + 5. Let l be t(5). Find the common denominator of (2 + l)\/(8\/(-10)) and 143\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 0, -3*w - 2*w = 5*o. Let f be (-39)\/15 + (-4)\/10. Let h be f\/((-9)\/(-6)) + w. Solve -a = -h + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, c: 9}. Give prob of picking 2 c.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4495200 divided by -3746\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q = -70*q - 3, 0 = 3*u + 2*q - 63. Solve 0 = -u*r - 10 - 47 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, d: 5}. Give prob of sequence dd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddedddidedd. Give prob of picking 1 i and 2 d.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5\/9 - 128*v**4\/9 + 1312*v**3\/9 + 896*v**2\/9 - 5312*v\/3 - 2560 = 0. Calculate v.\nAnswer: -40, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5789 = -4*d, 12*d = 2*x + 10*d - 2312. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/12 and (-617)\/30 + 40\/100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.050344 * -30.\nAnswer: 1.51032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*h + 492*h + 17544 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 894916*q**4 - 139599328*q**3\/3 + 5443488352*q**2\/9 + 15347072*q\/9 + 10816\/9 = 0?\nAnswer: -2\/1419, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11013 is divided by 107?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 60. Let o(u) = 2*u**2 - 29*u + 33. Let j be o(15). What is the highest common divisor of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + 5.48. Let s = l - 9.2. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70044 is divided by 589?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 9. Calculate l(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 1\/4 (c) 4 (d) 0.786 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10) - 56\/(-20). Calculate the common denominator of 13\/6 and (-1 + (-18 - g))*(-3)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2 + 23438037*w + 23438036 = 0.\nAnswer: -23438036, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -6*z**3\/5 + 12*z**2 + 318*z\/5 + 252\/5 = 0.\nAnswer: -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 42 = -5*v + 54, -5*v + 93 = 4*m. Let p(g) = -2*g - 4. What is the remainder when v is divided by p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 74, -4.\nAnswer: -4, 1, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = n - 70, -18*n = -17*n. Sort h, -3, 2, 0, 3.\nAnswer: h, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 109256*a + 1857344. Determine h(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from evegizzuvvvev.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**3 + 6*o - 6. Suppose 140 = 19*x - 183. Let p(m) = 33*m**3 - 17*m + 17. Give x*d(i) + 6*p(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:34 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -7220.\nAnswer: 3\/7220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4433, 2987, 579, -2791, -7123?\nAnswer: -12417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -77*z**2 + 4*z + 4. Let s(a) = 4698*a**2 - 243*a - 243. Let n(t) = 243*i(t) + 4*s(t). Let l(h) = -2*h. Give l(n(y)).\nAnswer: -162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61835*r + 62183*r + 20672 = 57908 for r.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 0.4, 6, 3, -0.4, 0.13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-1 - (0 - 0)) - (-276 + 267).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317156 or 317154?\nAnswer: 317154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, b: 1, c: 4, i: 1, o: 1}. What is prob of picking 1 o, 1 b, and 2 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896112570 to the power of 1\/2, to the nearest integer?\nAnswer: 43544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = x - 272. Suppose 0 = 3*y - 5*b - 290, 3*y - 3*b = -2*y + x. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.582202mm?\nAnswer: 1582202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 - 85*j**2 + 22*j**2 + 2*j + 3 - 4 + 1.\nAnswer: 18*j**3 - 63*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/339 and 34\/34005.\nAnswer: 3842565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4529*q + 81524. Let d be c(18). Factor 1\/6*a**4 - 1\/3*a**d + 0*a**3 + 0*a + 1\/6.\nAnswer: (a - 1)**2*(a + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*3\/2 - 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = b + 12 + 1, -3*b + 5*x = 34 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000340 to the power of 1\/2, to the nearest integer?\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 11) to base 2.\nAnswer: -11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 198171549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 6\/11 (b) 0.2 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(6)\/sqrt(2) + sqrt(3))**2 + (sqrt(27) + (sqrt(27)*4 - sqrt(27)))\/sqrt(9) + -3*sqrt(48) + (sqrt(243)*6)**2.\nAnswer: -8*sqrt(3) + 8724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59860 * -1.\nAnswer: -59860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence far when three letters picked without replacement from {v: 1, a: 2, g: 2, f: 1, r: 1, z: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 2*v + 4. Let g be x(6). Let a = -13 - g. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*d - 8, -s + 2*d + 347 = 0. What is the least common multiple of 217 and s?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26975*-1*(1 + -41). Round b to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110111 + -1?\nAnswer: 110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 2*d**3 + 2*d**2 + 0*d**2 - 28*d - 24*d + 5 + 2*d**4 to the form a*d + b + o*d**3 + t*d**2 + w*d**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6450?\nAnswer: 1\/3225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1, 2, 43 in increasing order.\nAnswer: -1, 2, 43, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:09 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 25 = 0, l - 6*l + 2*c = -15. Let j be (2\/(-7))\/(l + 1). Let f = -0.02 - -0.42. Put -0.3, j, f in increasing order.\nAnswer: -0.3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11023010301 (base 4) to base 3\nAnswer: -2112220012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 = -17. Suppose -z - 3 = -2*z, 0 = -o - k*z + 11. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-12))\/((-2)\/776)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 3. Suppose 2*n - b = 1. Solve -n = -4*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -71087444 in descending order.\nAnswer: 5, -3, -71087444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(72)*1)\/sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6084 and -4.\nAnswer: -24336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -0.09. Let p = t + -2.02. What is the closest to p in 0.3, 1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.009, 1\/2, -0.2?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 22*x**2 - 105*x - 300. Calculate f(-11).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from kttkttttlltttuuiktt.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008436 and 2620761?\nAnswer: 5863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 0*m + 1\/2*m**2 + 42. Let b(w) = 6*w**2 + 6*w**2 - 17*w**2. Determine b(v(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 2*h. Suppose 6*t - 10 = t. Which is the biggest value? (a) 0.5 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1221354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.9743199233 take away -0.8?\nAnswer: 157.7743199233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 397 - 253. Let p = 95356 + -95266. What is the greatest common factor of p and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 598 + -51. Suppose 7843 = 10*w - q. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -12, -7*m = -6*s + 10*s - 47. Put 4, 50, m, 2.5, -2\/13 in descending order.\nAnswer: 50, m, 4, 2.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v - 20*v - 24*v**4)*(2*v + 4*v - 3*v) - 2*v**5 + 2*v**5 + 2*v**5.\nAnswer: -70*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 630633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12737, 25409, 38079, 50747, 63413, 76077?\nAnswer: 88739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5, 764 in decreasing order.\nAnswer: 764, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80204 smaller than 80184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2911968 + 2911971.999981. Let y = 4 - i. What is y rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.89 - 6.81. Let o = z - -3.42. Which is the closest to 0.2? (a) -2\/9 (b) -2\/19 (c) o (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 140 = 3*m + x, -5*x - 404 = -3*m. Is ((-2)\/3)\/((-4)\/m) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 6*g + 5. Let o be n(5). Suppose d - 31 = -o*d. Is (d + 0)*(-30)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 + 2*w - 8. Let x be m(-6). Let j = -48 - x. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23650147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -137*l + 129*l + 249928. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64702 and 1309?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 5*z**3 + 79)*(z + 2 - z - 2*z).\nAnswer: 10*z**4 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 360942 (base 12) to base 3\nAnswer: 1122022111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tht when three letters picked without replacement from djhgqtq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -37 - (16 - (-4 + 17) - -6 - 11)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = -186*c + 367 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6, -m = -5*i + 3*m - 7. Suppose 8 + i = d. Suppose 0 = u - 4*u + d. Solve u*v - 21 = 5*l, -4*v + 2*l + 18 = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*y + 4*v = -5797 + 5779, 3*v - 2*v = -5*y - 27 - 2 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 541183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17*(-187)\/289 - 70\/6. What is the closest to 0.2 in q, 356, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 749, 1698, 3027, 4736?\nAnswer: 6825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3989088 by 3078.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3880*u**3 - 3*u**2 - 70*u + 200. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 71*o + 40 - 40*o - 159.\nAnswer: 31*o - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*o + 63. Let z(r) = 7*r**2 + 10*r - 5. Let n(f) = 4*f**2 + 5*f - 3. Let j(q) = 5*n(q) - 3*z(q). Let d be j(-4). Solve 0 = -o*y + d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -281 - -286. Solve -1 - 30 = 5*c + 2*s, -16 = k*c - 3*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3211280 + 14a?\nAnswer: 321141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.39 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 108 = 8*o. Let n = o - -38. Suppose -n*v - 37 = -5*k - 6*v, 2*k - 2*v = 4. Solve k*d + 4*m + 2 = 0, -d - 2*m = -4 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/221, 2\/3, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5188 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 19*v - 26. Which is smaller: v or 2\/4217?\nAnswer: 2\/4217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 241.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, -11 in increasing order.\nAnswer: -22, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57208 and 9712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3\/9 + 31*x**2\/6 + 56*x - 2662. Suppose a(u) = 0. What is u?\nAnswer: -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13532 divided by 3.\nAnswer: 13532\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 15*c - 15. Let f be p(1). Let u = -2 + -2. Let v be f - ((-8)\/3)\/u. What is the nearest to 1 in -2, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 1692402*h + 1432112264802.\nAnswer: (h - 1692402)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*y**2 - 58*y**2 + 162*y**2 - 270*y**2 - 417*y**2 to v*y + a + t*y**2 and give t.\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -787 - 1103. Suppose -605 = 4*l - 181. Let s = l + f. What is the greatest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 4. Differentiate -l + 6*l - g*l - 2 wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*m - 54 - 42 = 677*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314*a**3*c**3*f - 10*a**3*c**2 - 2*a**3*f - 9057*a**2*c**2*f - a**2*c*f + a**2*c - 132*a*c**3 - 7*c**3*f wrt c?\nAnswer: 1884*a**3*f - 792*a - 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*r - 6 = -22, 6*r = -6*f + 66 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -246*m - 17. Let f be r(-3). Suppose -5*k = 4*a - f, -4*a = -7*k + 4*k - 713. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 - 4*b + 3. Let f(w) = w**3 - w**2 - 2*w + 3. Let h be f(2). Suppose 7 = -4*v + 3. Let g = v + h. What is c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/2*26\/(-78). Sort -2, r, 582 in descending order.\nAnswer: 582, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -8, 31, 64, 91?\n\"Answer: -3*s**2 + 54*s - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.16175628 rounded to 3 decimal places?\nAnswer: 6.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*f + 15 = -6*w, -f = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.7 + -67. Let i = 39609491 - 39609515.300257. Let z = i - v. What is z rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30560444 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850593159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*o + 6 - 0, 4*h + 18 = -o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*t - 119 = -13, -109 = 5*l + 3*t for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t - t**2 + 11 - 24 + 11. Determine l(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.2, -10.\nAnswer: -10, -0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1017)\/(-452) - 3\/3\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0307 + -2.0307. Which is the third biggest value? (a) y (b) 0.1 (c) -205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 - 14 - (0 + -4). Let h = m - 19. What is the units digit of (-300)\/(-21) - h\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215518*2.\nAnswer: 431036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 11*r**5\/5 + 9*r**3\/2 - 24*r. Find the second derivative of o(x) wrt x.\nAnswer: 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508128707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 107*x**4\/24 + 5*x**3\/6 - x**2 + 4. Find the first derivative of y(w) wrt w.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/36 - (-159182)\/485640.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((23\/((-368)\/(-128)))\/10)\/((-12)\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -1, 445, 3, 5\/6, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -11310?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a + 70. Let q be t(-4). Let r be 7 - (-276)\/q - 1. Which is smaller: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -609030 to the nearest 1000.\nAnswer: -609000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 30. Let p(k) = -2*k + 15. Let a(u) = -7*p(u) - 4*v(u). Let l be a(7). Let q be 9\/(-1 - 2) + l. Let s(o) = -o**3 - o. Calculate s(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/7, -8, 0.4, -44, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d\/d**2)\/d*d))**(2\/17))**(-22) assuming d is positive.\nAnswer: d**(-44\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 195227 and 3.\nAnswer: 585681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a. Let h(j) = 5*j**2. Give h(p(f)).\nAnswer: 2000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:47 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*t = -577*t - 4*j + 4, 5*t - j - 15 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 - (5 - -4 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11223 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 23*r**2 - 35*r + 271. Calculate g(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64597 rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1670 - 1667. What is the nearest to -2 in -0.3, -5, 0.014, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 5*o + 265, -4*o + 160 = 3*f. What is the highest common factor of 40 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*5\/(-60)*(-16)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = 6. Let v(r) = 2*r**q + 14 - 8 - 5 - 13*r - 6. Let z be v(7). What is the nearest to 2\/7 in z, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39 from -3054714770303.\nAnswer: -3054714770264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 (base 10) in base 8?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/6*185\/148\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027761462 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2022 times -180194\nAnswer: -364352268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21399.37 litres?\nAnswer: 21399370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -378 (b) 2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148059681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 7*c**2 + 4*c - 8. Let p be ((-3)\/3)\/((-2)\/(-16)). Is 5 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -473\/19451 - -2\/367. Let c = 59 - 64. Let r be (-3)\/c - ((-8)\/20 + 2). Which is bigger: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**2 - 12*x**2 - 13*x**2 + 886 + 38*x**2 - 970*x**3 wrt x.\nAnswer: -5820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 23, 0, -43, -112, -213, -352, -535?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m*m**(5\/7))\/m)*m*m\/(m*m**40)*m**(-43)\/(m**(-47)*m) assuming m is positive.\nAnswer: m**(-257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/((-6)\/(-40)) - 5. Suppose 0 = g*t + 5*x - 29870, 8*t + 11943 = 10*t + x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(sqrt(3) - sqrt(3)*-2) + -5 - (sqrt(48) + -2 + 3 + sqrt(3) + -1)))**2.\nAnswer: 1800*sqrt(3) + 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2 + 1. Solve 0 = -m - v - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + y = -253, 0 = 5*y - 37 + 42. What is the highest common divisor of 966 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -5*g**4\/12 + 19*g**3\/6 - 5*g**2. Is 23 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351*p**3 - p**2 - 4*p + 607.\nAnswer: 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - 68?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 12 = 3*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 21. Let m(j) = 5*j + 17. Let f(s) = -4*m(s) + 3*x(s). What is f(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -355768*j**5 - 2*j**2 + 203436 wrt j?\nAnswer: -21346080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5563.638mm?\nAnswer: 0.005563638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136606770 divided by -1178.\nAnswer: -115965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 64 - 48 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5280422959.\nAnswer: 7, 754346137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(-4 + (4*(4 + sqrt(405)) + sqrt(405))**2*-6) + 1).\nAnswer: 25920*sqrt(5) + 186871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*f - 22, -2*n + f + 40 - 11 = 0. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:19 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1341, 4\/3, 6\/13, -3.2 in descending order.\nAnswer: 4\/3, 6\/13, -3.2, -1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8281321 - -17481321. Round q to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 306861*n**4*v - 8*n**2*v + 2*v + 9948533 wrt n.\nAnswer: 1227444*n**3*v - 16*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6567.182 + 6897.52045. Let n = o + -329.03845011. Let c = -1.3 + n. Round c to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + 15 + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -500 (b) 0.2 (c) 13.99757\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1024 - -1058. Suppose 187 = -5*y + 37. Let a = t + y. Solve 0*i + a = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -52*h + 57*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52423583 at most as big as 52423583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 222644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34 - 2*t**2 + 66 - 24*t + 140 with respect to t.\nAnswer: -4*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 4*m + 3*m)*(710*m + 341*m - 66*m)*(4 - 2 - 3) as w*m + g*m**2 + d and give g.\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8060911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 365. Let c(d) = 4*d + 727. What is 4*c(s) - 9*z(s)?\nAnswer: -2*s - 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-13) + 2 + 1. Suppose -t*n = n - 16. Calculate the remainder when 10 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 21. Let q(h) = h. Give -2*d(v) - 6*q(v).\nAnswer: -2*v - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l - 92. Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60786*p + 86900 wrt p.\nAnswer: -60786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*i + 3*b + 24, 0 = -5*b + 5. Suppose -i*z - 23034549 = 75965451. Round z to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-15)\/(-18)*(-326)\/(-30)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27877968 equal to -27877969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 12. Calculate the remainder when 79 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.42 + -0.08. Let w = 0.53 + -0.03. What is the biggest value in -1, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 times 0.193?\nAnswer: 109.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7801363.\nAnswer: 7801363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/21*(-1 - (-56)\/62). Is 0 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 - 75*v**2 + 0*v + 11*v**2 - v - 4 + 46*v**2. Let z(d) = d**2 + d. Give -c(n) + z(n).\nAnswer: 3*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20799 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(8\/2)*0. Suppose i*w = -2*w + 114. Let z(x) = x**3 - x**2 - x + 19. Let n be z(0). What is the highest common divisor of w and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let f be n(3). Let i = f - -2. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tltc when four letters picked without replacement from {l: 1, t: 2, n: 1, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-9 + -6 + 7 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16234875*f**2*o**3 - 3*f*o**2 - 15*f*o + 6*o**3 + 1589*o**2 wrt f.\nAnswer: -32469750*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*-2*sqrt(204) - (sqrt(204) + ((sqrt(204) + sqrt(204)*-1)*-4 - sqrt(204)))))\/((sqrt(12) + sqrt(108)*2 + sqrt(588) + 2*sqrt(588))*1).\nAnswer: 3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16769 divided by 3?\nAnswer: 16769\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*a + 8, -a - 2*a = -5*b - 6. Suppose 3*h - a - 34 = 0. Suppose h*w = 15*w - 51. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 2*p**5\/5 + p**3\/2 - 4*p**2 + 31*p. Differentiate o(m) with respect to m.\nAnswer: 24*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -618614 and -886.\nAnswer: 548092004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*s - 27*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -99 + 1111 + -1067.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*w - 12020*w + 6184*w - 68012*w - 58881*w.\nAnswer: -132557*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 102\/11, 1\/6, -9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (264\/(-84744)*107)\/(-1*(-1)\/90)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 355?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:17 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004842195 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 22*x + 1. Let c = -17320 - -17321. Let h(s) = -s**2 - s - 1. What is c*h(k) - t(k)?\nAnswer: k**2 + 21*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = -22. Suppose -5*l + 396 = -219. List the prime factors of l\/q*-6 - -4.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 20 - 0 - (17 - (4 - -11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b + 23340 = -191*b - 1253*b - 976*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 568171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Suppose -4*w + h*v = -6, 4*w - w + 3*v - 15 = 0. Determine g, given that 5*g**2 + 4*g - 3*g**3 + g**3 - w*g**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d + 11*d + 51*d)*(3*d - d + 0*d + (3 - 4 + 3)*(-1 - 2*d + 1) - 2*d - 3*d + 2*d).\nAnswer: -225*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-336)\/(-5))\/((-388)\/(-970)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*20\/15*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 5.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*z + 140, -y + 5*z = y - 262. Suppose -y = 4*q - 5*i, -5*i + 4*i - 121 = 3*q. List the prime factors of -1 - 3\/(9\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16677815.\nAnswer: 5, 7, 11, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*m = -1, 6*m = -v + 2*m + 5. Does 32 divide v*4\/(4\/149)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7351 or 7356?\nAnswer: 7351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -61. What is the common denominator of (x\/(-6))\/((-14)\/(-357)*-3) and -45\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 83*n + 24*n + 3*n + 19*n.\nAnswer: -37*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520 divided by 8.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 1. List the prime factors of v*(-22)\/(-4)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*x**4 + 0 - 22*x**2 - 41\/5*x**3 - 5*x.\nAnswer: -x*(x + 5)**2*(4*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 s, and 1 l when four letters picked without replacement from {j: 1, l: 8, s: 2, a: 1, e: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*p + 30 = -3*s, 3*s + 18 = 5*p. Let k = s + 2. Sort 4, k, 14 in increasing order.\nAnswer: k, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 10, 4*n - 4 = -y + 34. Solve -5*l = -0 - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10286 + 10284. What is the closest to -2\/17 in -3, z, 9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 173*q**3 - 320*q**3 + 31*q**3.\nAnswer: -454*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b (base 15) in base 14?\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1739 + -4?\nAnswer: -1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28434 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 4. Let f(b) be the second derivative of -b**3\/6 - 3*b**2\/2 + b. Let v be f(-6). Let r(z) = v - 1 - 3. Give -h(o) - 6*r(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - -1) + 0 - 1075\/172.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1628, 1633, 1632, 1619, 1588, 1533, 1448, 1327?\n\"Answer: -x**3 + 3*x**2 + 3*x + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = v - 1, -9 = 3*v + 3*b. Suppose 94*h = 22*h + 288. Sort 1, h, v in descending order.\nAnswer: h, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2340 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let q be 286\/(-104) + (-2)\/8. What is the closest to 0 in o, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:14 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -12. Suppose 2*m - r = 3*y + 5*m, -4 = -m. Let u(v) = 0*v**2 - 6*v - 4 - 2*v - v**2. Give u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 69. Which is smaller: g or 177\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*q + 62000 - 56160 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:37 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {q: 12, f: 6}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 7*m - 4. Let f be y(6). Suppose -3*o - 3*h + 0*h = 9, 0 = 3*o + 5*h + 15. Differentiate -7*t**2 + 6 + o - f wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -121, -316, -591?\n\"Answer: -40*k**2 + 5*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -111. What is the greatest common divisor of 299 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31315664 (base 7) in base 8?\nAnswer: -12052323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -554, 4, 3 in increasing order.\nAnswer: -554, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.8 times 166?\nAnswer: 16400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 433030001 - 1?\nAnswer: 433030000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5 = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(209) - sqrt(209)) - sqrt(209)) + sqrt(209) + -4*sqrt(209)*-1)\/(sqrt(77)\/(sqrt(525)\/sqrt(3))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 130 = 2*f, 128 - 527 = -3*f - 6*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -16\/99, 0.6 in decreasing order.\nAnswer: 0.6, 0, -16\/99, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 77*n**2 + 148*n - 145. Let k be o(-75). Let q be ((-6)\/(-5))\/(2\/(-10)). Let v be 3*(-1)\/q*10. Solve 5*d + 5 = k*z, -2*d - 12 + 1 = -v*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104462183.939 minus -1.7?\nAnswer: -104462182.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6 and -61\/1053.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 3*k**2 - 1838 + 7*k**2 + 1838.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1002, 2068, 3194, 4380, 5626?\nAnswer: 6932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -55906.163 + 182044\nAnswer: 126137.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30021, 30031, 30055, 30093, 30145?\nAnswer: 30211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56001 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3)*-1*-5*9?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/(2055\/(-180) - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/55)\/(-3))\/(1740\/5742)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1059.22 - 1077. What is o rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 659, -196, -5, 1 in decreasing order.\nAnswer: 659, 1, -4, -5, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.9 + -6.9. Suppose -2 = 4*j + 5*p + 2, j - 4*p = -1. Let g = -2.2 - -2. Which is the second biggest value? (a) g (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stqkkrvrq. What is prob of picking 1 r and 2 q?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44099, 352590, 1189875, 2820350, 5508411, 9518454?\n\"Answer: 44066*g**3 + g**2 + 26*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n + 7. Let o be -6*(-5 + 54\/12). What is the closest to n in 1\/3, 2\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3843 and 3807.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*v + 25, 20 = -t + 3*t + 4*v. Let z(q) = 20*q + 222. Let r be z(-11). Solve t*c - r*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 50, 5.\nAnswer: -2, 2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**2 - 568600*f - 16165298000 = 0?\nAnswer: -56860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 38, 63, 118, 215, 366?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 151282910 to the power of 1\/2, to the nearest integer?\nAnswer: 12300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -135\/8 (c) -4\/3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 747?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 - 5*v**3\/3 - 3*v**2\/2 + 7*v - 3. Let a be y(-4). Solve 2*f - a = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/8740 and -45\/58.\nAnswer: 253460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:15 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183297, 733201, 1649707, 2932815?\n\"Answer: 183301*r**2 + r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 1574*k**2 + 359272*k + 822. Give l(-277).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 814539107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2 + 37616*l + 57201408 = 0.\nAnswer: -1332, 10736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07906 and -21142.88302?\nAnswer: 21142.96208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.89828527.\nAnswer: 2.69485581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437646229 is divided by 691.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*y**3 + 4784*y**2\/3 - 5780*y\/3 + 1400\/3 = 0. Calculate y.\nAnswer: 1\/3, 10\/11, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 250877 (base 12) to base 6\nAnswer: 20525431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2*q + 13 + q)*(-482431 - 2589*q + 482431) to m + w*q**2 + t*q and give w.\nAnswer: 5178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 65.61706 weeks?\nAnswer: 39685197888000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03276 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487453 - 487457. Let v(q) = -q**3 - 2*q**2 - 4*q - 1. Let x(t) = t**2 + 1. Let z(j) = -v(j) + 2*x(j). Determine z(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 213?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-60))\/(97\/(-291))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458372104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-46)\/69*(-6)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvevvvv. What is prob of picking 2 v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 1. Let q be a(1). Suppose j - q = -2. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-32)\/(-4))\/(-4))\/(-6). Let t = 0.02 + 0.38. Let o = -66 - -68. Sort u, o, t in ascending order.\nAnswer: u, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 6*s**2 - 4*s**2)*(8052 - 8052 + 77*s) + 3*s - 3*s + 2*s**3 + (-2 + 2 - 2*s)*(3*s - 2*s**2 - 3*s) - 4*s**3 + 2*s**3 + s**3 + 2*s - s**3 - 2*s.\nAnswer: 81*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 325 = -4*t. Let z = -41 + t. Calculate the smallest common multiple of 16 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16396 + -16331. Let o be (-2)\/8 + 119\/(-4). Let r be (-100)\/o*6\/4. Calculate the highest common divisor of w and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from waaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w. Let t be p(7). Let a be t\/(-10) + (-1)\/(-5). What is the units digit of ((-3)\/5)\/(a\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 78. Calculate the highest common factor of 90 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 1. Let x be l(0). Let z(n) = n - 3 - 14*n**3 - 7 + 11 + 16*n**3. Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (35\/(-20))\/(-7) + (-543)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:34 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -18*n - 279. Let u be (4\/n)\/(5\/(60\/16)). Which is the second smallest value? (a) 2 (b) u (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**2\/y)\/y)*y\/y**6)\/(y*y\/y**(-2))**27)**10 assuming y is positive.\nAnswer: y**(-1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsssaasa. Give prob of picking 2 s and 2 a.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1441.398 - 1445. What is q rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ba76 (base 14) in base 8?\nAnswer: 666110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 263.40202629 and 20.24?\nAnswer: 243.16202629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 111735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-43\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 0 + 5 + (12 - 0 - 25 - 7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/5 - 4692*p**2\/5 - 156159*p\/5 - 30294 = 0. What is p?\nAnswer: -1530, -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 128. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 3}. What is prob of sequence hjh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744.531 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 5*r + 25 = 0, 7 = 2*g - 2*r - 15 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 - 5*v + 671. Determine b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -639, -629, -613, -591, -563, -529, -489?\n\"Answer: 3*r**2 + r - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20121*v**3 - 3 + 5 + 9*v**2 + 20126*v**3 - 2 + 13*v to l + f*v + t*v**3 + p*v**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 + -94 + (-7 - -2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -737084 + 1?\nAnswer: -737083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1311 or -39232?\nAnswer: -39232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -920342.658 minus -0.1?\nAnswer: -920342.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*v - 46, -v + 6*v + 244 = -4*z. Let q be (-1)\/(z\/21 + 3). Let o(x) = x - 7. Let g be o(q). Solve 0 = c - 2 - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.55. Let j = h + 1.95. Put -3, j, 0.5 in ascending order.\nAnswer: -3, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/4 + 8079*i**3\/4 + 24203*i**2\/4 - 201879*i\/4 + 42399 = 0.\nAnswer: -8076, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89134 - 221660 = -4554*i - 51216 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 + 14*i**2 - 14*i + 14. Let r(b) = -b**3 - 3*b**2 + 3*b - 3. What is -6*h(y) - 28*r(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (15 - 5 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -0*t - 5*t + 3*k, t - 2*k - 55 = 0. Find the common denominator of t\/(-4) + -2 + 3 and 117\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2591*z + 129. What are the prime factors of q(5)?\nAnswer: 2, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 111.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/6 + 1309*u**3\/3 + 333810*u**2 + 60132537*u - 120933567\/2 = 0?\nAnswer: -1179, -261, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 990 - 482 - 1159*o**3 - 3*o - 986*o**3 - 506 - 5*o**2 as t*o + y*o**3 + r*o**2 + x and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2388.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 125. Solve u = a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 37742*t + 942954. Determine w(25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 484 - 154. Suppose -565 = -r*p - 100. What is the greatest common divisor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 9:28 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t + 4. Let v be r(0). Suppose 53*h + 177 = 1184. Solve 0 = v*j - s - h, j = 2*j - 2*s - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = j + 894, 227 = -0*p + p - 2*j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7607.55 and -24?\nAnswer: 7583.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154145 by -5.\nAnswer: -30829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189435 is divided by 619?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4090, -4088, -4086, -4084, -4082?\nAnswer: -4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 37 = -53. Let m be -2 + 4*21 + -1 + 2. Let j = -65 + m. What is the greatest common factor of j and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -2*t. Let r(f) = -f**2 + t*f**2 - 4*f**2. Let k(d) = 3*d**2 - 132. Let o(v) = -v**2 + 66. Let i(z) = -k(z) - 2*o(z). What is i(u) + r(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26731979 take away 1?\nAnswer: -26731980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3074 times 1\nAnswer: 3074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 535, 693, 855, 1021, 1191?\n\"Answer: 2*q**2 + 152*q + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*x + 1455, -5 = x - 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2. Let r(q) = 5*q**3 - 6*q**2 - 3*q + 3. Suppose -2*a + 2*w - 10 = -0*a, 3*a = 4*w - 16. Let y(h) = a*n(h) + r(h). Give y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 22*r**5\/7 + 8392*r**4\/7 - 16850*r**3\/7 + 8436*r**2\/7 = 0.\nAnswer: -4218\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3396*i - 1. Let h be l(-1). Let j = -5697 - h. What is j rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2164 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.068?\nAnswer: -4.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 3*g + 5*g - g. Let z(k) be the third derivative of 53*k**5\/60 + k**4\/24 - 6*k**2 + 9*k. What is z(j(f))?\nAnswer: 212*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2505 - 1749*r**4 - 8847*r**2 + 130 + 8845*r**2 wrt r.\nAnswer: -41976*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*c - 508, -2*m - 20 = 3*m. Let w = c - -3. Is -123 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620, 1249, 1878, 2507, 3136?\nAnswer: 3765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1040053149 < 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -41*r**2 + r. Let l(f) be the first derivative of -f**2 + 34*f - 1210. What is l(m(i))?\nAnswer: 82*i**2 - 2*i + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.427 + -2.227. Do 20 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 435024340?\nAnswer: -435024344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*o - 0 + 16, 4*o - 33 = l. Solve 5*c - o*c = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 21 in ascending order.\nAnswer: -3, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -6*n + 117. Solve r + n*d - 2 = -6, -4*d - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u - 14*u + 56*u - 11*u + 1655 - 16*u in the form w + k*u and give w.\nAnswer: 1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 2. Suppose k = -3*s + 15, -3*s + 18 - 3 = -2*k. Suppose k*o = o. Give m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.946 to zero dps.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.93 + 1.23. What is the biggest value in -4\/7, 6, c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16 - 619*r**3 + 446*r**2 + 459*r**2 - 868*r**2 + 4 wrt r?\nAnswer: -3714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5825776 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43, -2\/13 in ascending order.\nAnswer: -5, -2\/13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*v**3 - 450*v**3 - 5 + 222*v**3.\nAnswer: -7*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 200*n**2. Let q(d) be the first derivative of -d**3\/3 + 265. What is q(y(b))?\nAnswer: -40000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1077a2a (base 12) to base 5.\nAnswer: -1301112311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 486673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -4\/3, 2, -1, -0.39.\nAnswer: -82, -4\/3, -1, -0.39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 14024 in ascending order.\nAnswer: -4, 13, 14024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73473942 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*q - 49476 = 582*q - 243*q for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -905*w - 11517. Determine l(-12).\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 61.12. Let h = l + 0.12. What is the third biggest value in 2\/5, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2049 is divided by 272?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36\/77 - 16\/693. What is the closest to 1 in -2, t, 22, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*3)\/sqrt(10))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -7. Let z(g) = -101*g - 4 + 0 + 98*g. Calculate the remainder when 14 is divided by z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*15 - 1*-32. Solve -5*g - 4*g = s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 43*z. Let t(v) = -9*v**2 + 5910231 - 5910231. Calculate a(t(i)).\nAnswer: -387*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 27 = -5*b + r, 2*b + 13 = r. Let d be 84\/18 + (-2)\/b. Solve 0 = 4*q - d*l - 24, -5*l - 13 = q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(50\/5)\/100.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1229\/2 - 616. What is the fourth smallest value in 4, x, -2\/9, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53331683 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4257 - 4378 = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y*y**(-3\/17) assuming y is positive.\nAnswer: y**(65\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111532 (base 6) in base 14?\nAnswer: -16664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*x**6 + 4777*x**3 - 1175926*x**2 wrt x?\nAnswer: -4920*x**3 + 28662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let i be z + -4 + (2 - 1). Suppose i = p + 2 - 13. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25136?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 6 - (-1 - 1)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 582\/11?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 306*u**2 + 624*u - 4846. What is k(304)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -142*u**2 + 1420*u + 710. Let j(l) = 2*l + 1. Give 710*j(f) - p(f).\nAnswer: 142*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -255?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*n**2 + 71*n**2 + 25*n**2)*(0*n**2 + 3*n + 0*n**2 + 2*n**2 + 2).\nAnswer: 260*n**4 + 390*n**3 + 260*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(32\/3))**(-11) assuming y is positive.\nAnswer: y**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*f + 36 = -188*f. Let i(j) = j - 4. Calculate i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21128637 and 3.\nAnswer: 21128637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + -1*sqrt(468))*6 + sqrt(468) + -1 + 0)**2 + -5.\nAnswer: -12*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6240386.\nAnswer: 2, 101, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -8, 9, 26?\n\"Answer: 17*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -14, 982?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -11*r - 239. Let n = 39 + r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769 = -134*o - 7807 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-5)\/(-7))\/(-1). Suppose 2\/7 - k*d + 2\/7*d**3 - 2\/7*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 3*b + (-b + 2*b - 4*b)*(-2 + 0 + 4) + 1 + 18*b - 1)*(-b - 4*b + 4*b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. What is the second biggest value in p, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.3 and 7.\nAnswer: -79.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34691912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3722, 15124, 34196, 60938, 95350?\nAnswer: 137432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 17. Let n(d) = 39*d - 2 - 13*d - 4 - 12*d - 15*d. Calculate 17*n(o) - 6*x(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*a - 25, 2*a = j + 5*a - 13. Let n(c) = 80*c - 1. Is n(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28162060 rounded to the nearest 100000?\nAnswer: -28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 33*z + 3 + 59*z as b*z + i and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -m + 119 + 18, -q = -2*m + 249. Calculate the smallest common multiple of 6 and m.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5741007?\nAnswer: 3, 23, 83203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155065 is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2. Let s(c) = 2*c - 12. Let r(x) = -s(x) - 6*u(x). Let h(w) be the first derivative of 0*w**2 - 2\/3*w**3 + 0*w - 2. Give r(h(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 976?\nAnswer: -3\/976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3747, -3701, -3655, -3609, -3563?\nAnswer: -3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -11, 70, -1, 79, -4 in descending order.\nAnswer: 79, 70, 3, -1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 860.391 + -0.391. Let r = l + -859.8. Let x = -0.07 - -0.37. What is the closest to r in -3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6779122 by -17.\nAnswer: -6779122\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001011101010110110 (base 2) in base 16?\nAnswer: 50bab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -59)*-1*(-38)\/570?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -15, -58, -139, -270, -463, -730, -1083?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3 in decreasing order.\nAnswer: 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k = 2. Let s = 1 - k. Suppose 0 = -3*i + i + s. Let r(b) = -2*b**2 - b. What is r(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*r - 4 - 2, 15 = 5*m. Suppose -10 = -5*t, 4*t = -r*z - t + 157. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-102)*3\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -299? (a) 0.1 (b) 53 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h**2 - 10*h + 9. Is r(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + z + 1 = 0, z - 3*z - 2 = 0. Let g(f) = f + 8. Does 8 divide g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14d7 (base 14) in base 12?\nAnswer: -2199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6327 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-11)*r*r)**(-20)*r**11\/r**(5\/4))**24 assuming r is positive.\nAnswer: r**4554","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506505 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose b - 16 - 14 = s. Let i = 13 - 3. Calculate the greatest common factor of b and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 8. Let x be y(-3). Let g(l) = 5 - 4 - 2 + l. Let d be g(4). Solve k = x + d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801955713?\nAnswer: 3, 13, 20562967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.23, 1.5, 1, 12230?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229 - 255. Let l(r) = -r**2 - 21*r + 138. Let o be l(b). What is the greatest common divisor of o and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**2 - 9*d**2 - 25*d**2.\nAnswer: -65*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124135 - 12?\nAnswer: -124151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41016202681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + n - 2. Let a(b) = 2*b**3 - 11*b**2 + 7*b - 6. What is -a(i) + 2*c(i)?\nAnswer: -2*i**3 + 15*i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-2 - -11) + (-2 - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 + -194. What is the biggest value in 1\/8, 62, c?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -57)\/(-5) + 743. Let h be (0 - 1)\/(-1) + 228. Suppose -q + h = -4*i. Is 34 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 52*b - 8. Let r be u(17). Is r equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (4 - -7 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 13\/81 (c) 2\/27 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 12*q - 11*q + 21, 5*q - 55 = -5*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1847626 by 39.\nAnswer: 1847626\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 + 129*y - 228*y + 108*y)*(-2 - 2*y + 2) to j*y**2 + t + i*y and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5521*g = -13862*g - 42275 - 22651 - 60189 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvtkkktkkkkkkkk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*g - 6 - 6 - 6 = -10, -19*h + 19*h = g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from xxamccsbmaxasx?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 44\/1999?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2841\/18940*(-28)\/(-3).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 30*l**2 - l - 11. Let k be u(-15). Which is the closest to -10? (a) -0.1 (b) -0.5 (c) -1\/30 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 6, -2.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.185, 2\/9, 2\/23 in descending order.\nAnswer: 2\/9, 2\/23, -0.1, -0.185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/7488612 and 25\/9.\nAnswer: 7488612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8917 = -27636*z + 27395*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) + -5 - sqrt(99)) + -1*sqrt(99) + -1 + 5 - (((4 + 1*sqrt(99))*3)**2 + -4).\nAnswer: -1032 - 225*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.395289 micrometers to millimeters.\nAnswer: 0.002395289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 1 - 11. Suppose -i - 2*a = -3*i + 592, 3*i - z*a - 885 = 0. Suppose -267 - i = -4*j. Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzppppqpyqqzqqpqpp. What is prob of picking 1 z and 1 p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1543, -1542, -1541, -1540?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m**3 + 27*m**2 - 29*m - 453. Is w(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m. Let t be q(-4). Let s be (-1)\/(-6) - 76\/t. Let z(h) = -h**3 - 3*h**2 + 3. Let r be z(s). Solve -14 = -5*n + 3*i - r, 5*n + 3 = -4*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2, 4*q - 118 - 123 = -5*r. Let l = r - 32. What is the third derivative of 114 + 15*u**4 - 114 + l*u**2 wrt u?\nAnswer: 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let r(n) be the third derivative of n**4\/6 - 4*n**3 + 122*n**2. Give o(r(z)).\nAnswer: 8*z - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 40 = -5. What is the closest to h in 0.11, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836 and 4279?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108578 is divided by 54284?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15*w - 13. Let q(o) = 22*o + 20. Let a(x) = 8*d(x) + 5*q(x). Let t(k) = -3*k**2 - 36*k - 4. Let h be t(-12). Does 12 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 36 - 13 + 23 + 2*k + 0. Let d be m(-20). Solve n = d*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12815, -2 in increasing order.\nAnswer: -2, 1, 12815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (sqrt(931) + 0 + -3 - (3 + -2 + sqrt(931)))) + 3)**2*6 + 0.\nAnswer: 19494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 2\/5, 4, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/20 + -15)*(-104)\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*c = -0*s - 2049, -3*c - 9 = 0. Let u = 622 - s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 174433344 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-96)\/420)\/((-92)\/115). Which is the third smallest value? (a) -62 (b) 6 (c) q (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 3. Let g = -2 - o. Suppose m = g*m - 130. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6 and -91\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3389.7 + 3390. Let w = -13 + 17.4. Let o = -0.4 + w. What is the second smallest value in 0.1, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = -6. Put 5, -4, o, 0 in descending order.\nAnswer: 5, 0, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z + 67669 + 4*z**2 + 12*z - 67822 - z**3. Determine u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 7*n**2 - 8*n + 5. Let u(m) = 7*m - 20. Let b be u(4). Let h be 4\/(3\/((-6)\/4)) + b. Give v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**8\/84 - 158*p**5\/15 - 375*p**4\/2 + 17*p**2 + 12. Find the second derivative of k(h) wrt h.\nAnswer: -80*h**3 - 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 14, 28, 56, 104?\n\"Answer: t**3 - 2*t**2 + 5*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 + 9056*o**2\/11 + 207230*o\/11.\nAnswer: 2*o*(o + 23)*(o + 4505)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004844 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-44)\/(-16)*6. What is the highest common factor of 22 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/2 + 2*c + 9. Let a(d) = 3*d - 2*d - 3*d. Give u(a(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2466123*k**3 - 13272*k**2 + 2*k + 12.\nAnswer: 14796738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*y + 97*y + 13*y**2 - 2*y**2 - 3*y**2 + 3*y**2 + (0 + 0 + y)*(-y - y + 0*y))*(-2 - 7 + 2)*(-2 + 5 - 4) to the form a*y + k*y**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2135 divided by -427\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1642 (base 16) to base 8.\nAnswer: 13102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.5 (c) 0.012373 (d) -1\/5 (e) 3 (f) 2 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k + 2*k)*(148 - 14*k - 148)*(-2*k - k + 2*k).\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 119906*s - 839391.\nAnswer: (s - 119913)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38580\/44 - 4\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 12855\/(-285)) + (-4)\/(-38)*-1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34053971 * 2\nAnswer: -68107942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/2 - 9*s - 19\/2 = 0. Calculate s.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y. Suppose y*w + 3 = -w. What are the prime factors of (-4)\/(-3 - (w - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Let q be d(-3). Let t be 6 + (4 - (-1 + 1)). Let l be t\/(-45) - 87\/(-27). Solve 2*w + 2*w - s + 18 = q, -l*w - 19 = 2*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 617 = -628. Let v = m - -814. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5 = -0*m - m, 0 = -4*u - m + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5131*u**3 - 1069*u**2. Let x(j) = -10262*j**3 - 2137*j**2. Let p(v) = -5*w(v) + 3*x(v). Find the third derivative of p(t) wrt t.\nAnswer: -30786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*x = 55, 5*b - 2*x - 65 = x. Suppose -b = -5*k - 0*k + 5*p, 3*k - 2 = -p. Suppose o - 2 = 1. Which is bigger: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 11*k**2 - 2*k - 13. Suppose -24*r + 77 = 2*r - 235. What is a(r)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 13*o**2 + 23*o + 75. What is x(9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((-10)\/16) - -4. Let k = n + 14. Solve -2*j + 0*c = 2*c - 4, 4*c = 5*j - k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117875?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/35, 300, 1\/7, 16?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002313203 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2842 + -2722. Sort 0, z, -3.\nAnswer: -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8 + 2, -5*t + j - 7 = 0. Let q be 3\/21 - (-9)\/35. Is t less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 321? (a) 41 (b) 0.3 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 + 3.1. Let b = n - -1.3. Put -1, b, 2 in decreasing order.\nAnswer: 2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-120)*-4)\/((-2600)\/720).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 95 = 4*l + 71, -l + 22 = -5*q. Which is the second biggest value? (a) 3 (b) q (c) -0.08 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 322.3893 nanometers?\nAnswer: 0.0000000003223893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 + k + 4. Determine o(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 * -0.541.\nAnswer: 0.020017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)\/(12\/(-43740)). Suppose -13*z - s = -58*z. Is z a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67307520 by -100160.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/(m**1\/m)*m))*m\/(m**(-6)*m)*m*(m**0)**32 assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3178, 5, -5, -2, -13 in ascending order.\nAnswer: -3178, -13, -5, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 628*u**2 + 49277*u - 7. Let f(a) = 3*a**3 - 314*a**2 - 24637*a + 4. Let k(n) = -7*f(n) - 4*g(n). Factor k(c).\nAnswer: -c*(c + 157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w + w - 4 - 85*w + 5*w - 44*w.\nAnswer: -153*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1418989\/36 + 39419. Calculate the common denominator of -25\/54 and n.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a5c498 + -2a?\nAnswer: 3a5c46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34558 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2760993 - (-2 - -4)) + (-5 - (-6 + 6)). What is g rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1419390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13125, 13118, 13107, 13092, 13073, 13050?\nAnswer: 13023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11752.1 - -11752. Which is the nearest to v? (a) -2\/5 (b) -1\/9 (c) 0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1\/2 (c) -3\/5 (d) -2\/149 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 + 6*p**2 - p**2)*(1 - 2 + 0) + 152*p + 55274 - 55274 + 3*p**2 in the form n + m*p + h*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 1. Let s be j(8). Let c(h) = -h**3 + 9*h**2 + 7*h - 1. Is c(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (246\/18 - 14) + (10386352\/(-12))\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 smaller than 7.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 4*o - 3*o**2)*(15*o**2 - 61 + 61) as p*o**4 + r*o**3 + n*o + g + h*o**2 and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 3*i)*(-2 + 0 + 4)*(-5*i + 2*i + 2*i) - 2*i**2 + 4*i**2 + 0*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -19. What is the second smallest value in b, 5\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 1\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23127 is divided by 413.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20265 divided by 4053?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, 8, 5, 2\/7.\nAnswer: -1\/4, 2\/7, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3728733869 + 18*b - 3728733869. Suppose -l = -5*g + 5, 5*g + 13 - 3 = 4*l. Let k(m) = 0*m**2 + 2*m**2 - m**g. Give u(k(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 84.5. What is the second smallest value in -5, q, -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 0*j**2 + 0*j**2 + (-2*j**3 - 1 + 1)*(-1 + 4 - 2) + (j**3 - 5*j**3 + j**3)*(-35 - 96 + 36).\nAnswer: 284*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, l: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 4, b: 1, g: 2}. Give prob of sequence fggf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5510 is divided by 551?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2466404, -4932826, -7399248, -9865670, -12332092?\n\"Answer: -2466422*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -356568*s - 6061634. What is q(-17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -3*u**3\/2 + 5*u**2\/2 - 20*u - 3. What is g(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.85 and -0.099?\nAnswer: -0.18315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 2, -0.3, -13, -2, 259\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c**2 - 68*c - 1. Let i(z) = 16*z**2 + 68*z + 2. Calculate 4*i(q) + 5*o(q).\nAnswer: 4*q**2 - 68*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*j**3 + 133*j**2*m + 1550*j**2 + 2*j*m - 468*j - 26184*m - 2 wrt j.\nAnswer: 432*j + 266*m + 3100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 18 = 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(25)\/sqrt(5))**2 + sqrt(10)\/(sqrt(4)\/sqrt(2) + sqrt(2)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336665 (base 7) to base 5.\nAnswer: -3410043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -7)*(-7)\/(7\/(-2)). Suppose q*g = g + d + 78, g - d = 24. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + b**2 - b + 1. Let s be m(1). Let y = 0.18 - 0.71. Let r = y + 0.13. What is the third smallest value in r, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 388093.8 days?\nAnswer: 33531304320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/25 (b) -1\/4 (c) -2\/7 (d) 5 (e) -1 (f) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.62 + 12.62. Let v = 0 + -9. Let t = v + 5. Which is the nearest to u? (a) t (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 + (-2070)\/255?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 105*c**8\/8 + c**4\/4 + 16*c**2 + 1811*c. Find the third derivative of a(y) wrt y.\nAnswer: 88200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 1. Let j(h) = 12*h - 3. Calculate -2*f(i) + j(i).\nAnswer: 10*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:57 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*d + 155*d**2 - 157*d**2 + 198*d as g*d + o*d**2 + a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -13*m**3\/3 + 179*m**2\/2 - 74*m. Is 69 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + s)*(14*s - 14*s - 9 + 41 - 32 - 198388*s**2).\nAnswer: 198388*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 44. Suppose 0 = -4*o - 5 + 1. Which is the closest to o? (a) 0.2 (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y*((y*(y*y\/(y*y\/y**(-1\/39)*y*y))\/y)\/y*y)\/y)\/y))\/y*y*y*y*y**(-3\/19))**(-8))**(1\/16))**36 assuming y is positive.\nAnswer: y**(-26088\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 31*f**2 - 208*f + 55. What is t(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32115 - -128463\/4. Suppose -l*d**3 - 9\/4*d + 27\/4 - 15\/4*d**2 = 0. Calculate d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o**(-10))\/(((o**(-9)\/o)\/o)\/o*o*o*o**(5\/6)*o) assuming o is positive.\nAnswer: o**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 49 (c) 1798 (d) -4 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 8\/3)*3. Let i be (-3 - 51\/(-15))*-3. Is c greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161049087 divided by -3\nAnswer: -53683029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4 - 26*l**3 + 90*l**2.\nAnswer: -48*l - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.27346816 + 27384.96.\nAnswer: 27383.68653184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14886345, -14886344, -14886343?\nAnswer: -14886342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 9*i + 84 = 11*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1641 <= -1639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(sqrt(72) + 3 + -2 - (4 + sqrt(72)*-3))**2)*2.\nAnswer: -9288 + 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330166200?\nAnswer: 2, 3, 5, 7, 13, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 5*k - 2. Let u be w(6). Let t = u + -60. Suppose 0 = 2*a + 2*a - t. Calculate the least common multiple of a and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 3*p - 3. Let r be h(2). Let a(j) = -17*j + 1. Does 18 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 - 3*s**4 + 2*s**4 + (-3 + 32 + 6)*(-s**4 - 2*s**4 + 4*s**4) as f*s**2 + d*s + h*s**3 + l*s**4 + p and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-2 - -9) + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/(-195) + (1 - 1\/(-5)). Let d(b) = -160*b**2 - 159*b**2 + y + b + 318*b**2. Give d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.4 - 16. Let b = -1.5 - k. Put b, -0.5, -3\/4 in decreasing order.\nAnswer: b, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**2 + 17*i - 101. Let r(l) = -5*l**2 + 9*l - 51. Calculate -4*j(g) + 7*r(g).\nAnswer: g**2 - 5*g + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -14, 1\/4469, -3, -0.5 in descending order.\nAnswer: 1\/4469, -0.5, -3\/5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3614647 - -3614636.748983. Let b = y + 10.223. Let a = b + 0.028. Round a to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 7)*(-228*l - 559*l - 153*l)*(-3*l + 3*l - 2*l + l**2).\nAnswer: -4700*l**3 + 9400*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.319 to 1 decimal place.\nAnswer: -189.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -622917 divided by 23071\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177475490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w. Let l(p) = -391497172*p. Determine y(l(o)).\nAnswer: -1174491516*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212799089 - 72?\nAnswer: 212799017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6632 divided by -1658.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/12 - 4*p**3\/3 + p**2\/2 + 6*p. Suppose -4*q = -6*f + f - 48, -42 = 5*f - q. Let o be c(f). Solve -o + 6 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 - 2*-28. Let l = 324 - 313. Calculate the greatest common divisor of q and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 1. Let y(k) = -8*k - 10*k - 3 + 1 + 16*k. Determine -4*c(m) - 3*y(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -210 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4732 - -23789. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64 + 8*u**5 + 64 + (3*u - 3*u + u**3)*(2*u**2 - 5*u**2 + 4*u**2) - 7*u**5 - 3*u**5 - u**5.\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 + -235. What is the highest common divisor of g and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m - 3*m - m - 7*m**5 + 5*m wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 163832 - 163692 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (418*44\/(-5016))\/(4\/(-3)*16\/(-32)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338123 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n + 12. Let m = 5 - -9. Let y be k(m). What is the highest common factor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 11) to base 15\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -13 + -33 + 46 - 73.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 787, 3107, 6973, 12385, 19343?\n\"Answer: 773*v**2 + v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4802 - -4806. Solve b*h - 9 = 157*k - 152*k, 0 = -h - k - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.6670124587 and -0.2.\nAnswer: 3.4670124587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 + 30*p**3 - 255*p**2 + 510*p - 288 = 0. Calculate p.\nAnswer: -16, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*w**2 - 642*w**2 + 29*w**2 - 275*w**2 in the form o + p*w + v*w**2 and give v.\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - a**2 + 3*a**2)*(0*a - 5*a + 4*a) + (-295 - 7*a**2 - a + 296 - 2*a**2)*(0 + 0 - 7*a).\nAnswer: 64*a**3 + 7*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 35*i**2 + i. Let p be o(1). Calculate the greatest common divisor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gttt when four letters picked without replacement from {b: 3, q: 3, k: 5, m: 1, g: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1 - 2*y**2 - 5*y - 2*y**2 + 1 + 5. Let a be c(-6). Let t = -60 - a. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2 - 70*v - 117. Let m be s(-2). Which is bigger: m or -3\/6263?\nAnswer: -3\/6263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 7272?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 - 2160*j**3 + 25484*j**2 - 74016*j + 50688 = 0 for j.\nAnswer: 1, 3, 8, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 20. Let v = 93 + -7. Let p = -83 + v. Let z be r(p). Solve z*x = 7*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47358564 is divided by 4464?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61755 is divided by 15438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 27*z + 22 + 74 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and ((-48)\/5)\/((-35)\/1050).\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 94.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4318808901?\nAnswer: 3, 11, 130872997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb79 (base 14) to base 16.\nAnswer: -7ebf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -2\/13, 6855.43 in increasing order.\nAnswer: -2\/13, -0.1, 0, 6855.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-13 + -1 + (103 - 83))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11473 and 16358859?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1565?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -32*t + 51*t + 22*t + 14. Let j be u(3). Let x = j + -86. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-8)*s*s))\/s)\/(s*s*s**13*s))\/(s*s**(1\/49)*s*s\/(s\/(s*(s*s*s**(2\/7)*s)\/s))*s) assuming s is positive.\nAnswer: s**(-848\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(7)*-2 + sqrt(56)\/((sqrt(88)*4)\/sqrt(11) - sqrt(8)).\nAnswer: 1 + 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1975691ug in nanograms?\nAnswer: 197.5691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5722 + 7.5722. Let y = 3 + -3.1. Which is the closest to s? (a) y (b) 2\/47 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*o - 1129 - 35947 = 1158*o + 884*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 7) + (-2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/77573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81018?\nAnswer: 2, 3, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8114 - -4.8114. Let k = 0.1 + -0.1. Is k != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*t**2 - 1174*t + 16.\nAnswer: -(t + 8)*(147*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10)*10\/(-4). Which is smaller: l or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 - 3*w**2 + 2*w - 6. Let t be z(3). Suppose 0*y = 4*c - 2*y - 104, -5*c = 3*y - t. What is the remainder when c is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3144852 and 58016?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x + 260. Let i(z) = -z**2. Give i(t(l)).\nAnswer: -81*l**2 - 4680*l - 67600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840407423 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/193 (b) 4 (c) -2059 (d) -1 (e) -21 (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.078 - 0.278. Suppose -4*n = -9*n. Let c be (-1 - n\/2) + 2. What is the nearest to t in c, 4, -5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 42*m + 96. Calculate j(44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42218, -84336, -126352, -168266, -210078?\n\"Answer: 51*d**2 - 42271*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = 0. Let x(h) = h**2 - 269*h + 4047. Let w be x(16). Put w, q, -11 in increasing order.\nAnswer: -11, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 2*q + 4*q. Suppose -4*d = -3*a + 11, -3*a = d + 4*d - 20. Suppose -d = o, 2*b + 0*b + o = 3. Solve q*t - 6 = -b*t - 2*i, 15 = t - 5*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 6. Let b = a - 1. Suppose 0 = b*j + 3*v - 1025, 3*j - 1390 - 146 = -3*v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 41, 36, -5, 4, -3 in decreasing order.\nAnswer: 41, 36, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -8 + 8 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 2\/(4\/18). Let p = h + -4. Suppose -v = 5*w - 25, 2*v - 20 = -2*w - 2*w. Solve -2*u - p*g + 0*g + 1 = v, 0 = -5*u - 2*g - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 - 32*u + 105 = 0.\nAnswer: -35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.34 + -22.06. Let d = 28.34475 + s. Round d to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**3 - 24*k**2 - 4*k - 2. Let s(z) = -5*z**3 - 23*z**2 - 3*z - 3. Let h(a) = 4*s(a) - 6*t(a). Determine m, given that h(m) = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -2.415?\nAnswer: -2.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (141\/2)\/(10 + 462\/(-48))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49934 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261222 and 1662089.\nAnswer: 169533078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -398 - -2791\/7. Suppose 0*g + 2*g = 2. Is h <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 10, x - 19 = -4*n - 11. Suppose k + 3 = -x*k, -5*k = 5*p + 5. Solve 0 = -5*g + p*j + 7 + 21, 4*j = 2*g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-3))\/(75\/18 - 5). Let x = 4 - 1. Solve -7 - x = v*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3138 (base 9) to base 11\nAnswer: -1804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 168*x + 1764.\nAnswer: 4*(x + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 28876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-238)\/15 - 4\/30. Let t = w - -39. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x = -64*x - 239*x + 6850 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-10))\/(10\/25). Solve -3*g = 2*p + s, -2*p + 2*g = -2 - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + -7 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 274, 552, 828, 1102, 1374?\n\"Answer: -h**2 + 281*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 9*r**2 + 12*r - 21. What are the prime factors of g(-11)?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -361734633*r**4*y + 7*y - 204555 wrt r?\nAnswer: -1446938532*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 7*t - 7. Suppose -13*r - 5*x = -14*r - 425, 0 = -x + 4. Let w = 408 + r. Determine a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*r + r + 273, -5*r - 186 = 3*f. Let s = 200 + -255. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 6?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6*n**(-1)\/n*n**(-5)*n**(-24\/11)\/((n**1*n)\/(((n**(-4)*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -624855, -1249489, -1874121, -2498751, -3123379, -3748005?\n\"Answer: i**2 - 624637*i - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-445)\/225 - (-2)\/10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22b5996 + 5?\nAnswer: -22b5991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -18*x**2 - 5*x - 5. Let m(s) = -45*s**2 - 12*s - 12. Let b(u) = -u**3 + 31*u**2 - 194*u - 83. Let f be b(22). Give f*m(t) - 12*r(t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6142101 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0 - 1\/48*u**4 + 0*u**2 + 0*u**3 - u. Factor z(t).\nAnswer: -t**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161428 is divided by 4604?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2*15\/(-90))\/((-3)\/(-108))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*s + 4*l - l, s - 4*l - 37 = 0. Let x = -330 - -338. Suppose x*n - 202 = 3*n - 4*b, -3*b - s = -n. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + q - 4)*(-105136*q**3 - 122247*q**3 + 209547*q**3) to n*q + v*q**2 + g + s*q**4 + z*q**3 and give s.\nAnswer: -17836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-10) + ((-50)\/500)\/(15\/210). Let k be 5\/12 - 4\/6. Which is the nearest to k? (a) -1\/6 (b) 24 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 3*m**2 + 0*m**2 + (m - m + m**2)*(0 - 2 + 1).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 7*g - 196 = 0. Solve -3*u + g = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-5)\/2760)\/1\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/5 of a tonne?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -83. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11214474 and 5.\nAnswer: 11214479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7733.564ng to grams.\nAnswer: 0.000007733564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 - 34*b**2\/3 + 8*b\/3 + 56\/3 = 0. Calculate b.\nAnswer: -2, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - 0 - (-126 + (-8 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 10 + (-2 - 3) + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-3 + 7) - -4. Let b(p) = -p + 3 - r - 3 - 1. Let d(h) = -h**3 + 6*h**2 - 2*h + 6. Let m be d(6). What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -240 - -249. Find the first derivative of -35 - 40*o + 40*o - s - 49*o wrt o.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 + 26*p**2 - 2*p - 3*p + 40*p.\nAnswer: 26*p**2 + 35*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1026612283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16 (b) -59 (c) 40\/7 (d) 2\/11 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by -1\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 + 348234*n - 181900378134.\nAnswer: -(n - 1044702)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*(t\/(t**(1\/14)\/t))\/t*t)\/t*t))\/t)\/((t\/(t**15*t)*t)\/t)*t\/((t\/(t*t\/(t\/t**(2\/25))*t))\/t*t)*t**(2\/21) assuming t is positive.\nAnswer: t**(2137\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 313126258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19406 (base 16) to base 12.\nAnswer: -4ba32","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 26, 8, -2 in decreasing order.\nAnswer: 26, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243911 is divided by 1870.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -32.8. Let t = -66877003\/230 + 290769. Let p = t - 1\/46. Put -3, p, q in increasing order.\nAnswer: -3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (163\/2)\/(-4 - 63\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**(-1\/35) assuming k is positive.\nAnswer: k**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 8504*l + 4519876.\nAnswer: 4*(l - 1063)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:22 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3651*l - 123773 + 123773)*(1 - 1 - 8) to the form h + z*l and give z.\nAnswer: -29208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 3*r)*(5*r**2 + 0*r + 0*r) + 3*r**2 - 4*r**3 - 6*r**2 - 20*r**3.\nAnswer: -14*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 413 = 5*l - 4*a, 5*a - 530 = -4*l. What is the smallest common multiple of l and 459?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453 divided by 151\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {p: 2, t: 2, k: 3, o: 1, f: 2, y: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(2811 + -1). Suppose s - 33*o - 485 = -37*o, 0 = -3*s - 2*o + r. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 7*x**2 + 7*x - 7. Let b be z(6). Let r(w) = -4*w - 7. Let t be r(-3). Let i be (-56)\/70*(0 + t). Put -2\/3, i, b in descending order.\nAnswer: -2\/3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18243 - -18240. Which is the second biggest value? (a) h (b) 0.5 (c) 43 (d) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10135 - 10130. Solve 3*o = 5*h - 13, -h - u*o - 89 = -114 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5200 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28148*l**4 - 5*l + 2156 wrt l?\nAnswer: 337776*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -11. Is 2*((-237)\/h - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -794*v + 6801. Determine a(9).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u\/(u**(-6)*u*u*u)*u\/((u\/(u\/(u**(1\/2)\/u)))\/u)*u*u**(2\/3)*u)\/(u**(-3\/4)*u**(3\/5)*(u\/(u**0*u))**(-35)) assuming u is positive.\nAnswer: u**(259\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19690 = 2*b - t, -90*t = b - 88*t - 9845. What are the prime factors of b?\nAnswer: 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 0*a**2 + a**2)*(3 - 5 + 4 + (-3 - 3 + 4)*(-3 + 3 + 2) + 0 - 5 + 0 + 5 - 3 + 0 + 0 + 2 - 1 + (-2 - 2 - 1)*(-1 + 1 + 2)).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.47104nm to millimeters.\nAnswer: 0.00005947104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2338 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:55 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 + 61*v - 59. Let m(r) = -2*r**2 - 30*r + 30. Let f(n) = 6*h(n) + 13*m(n). Factor f(q).\nAnswer: 4*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z + 4799*z**2 + 45*z + 9*z**4 - 3587*z**2 + 145*z + 1001*z**3 = 0 for z.\nAnswer: -110, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-40))\/((-140)\/5600)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.965 + 27.515. Let o = j - 28.4. What is the second biggest value in 4\/5, -2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or 16939842?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 36*b**2 + 77*b + 59. Determine z(-3).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, m: 8}. What is prob of sequence lml?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 56*s - 19190. Is 42 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12*k + 183 = 11*k, -2*z = 2*k - 114. Suppose -z = -83*b + 68*b. Let h(q) = -q**2 + 6*q + 10. Let l be h(7). Solve l*c = b + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580420464.\nAnswer: 2, 3, 13, 67, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323*w**3 + 1944*w**5 + 1515*w**4 - 1263*w**2 + 1954*w**5 - 3823*w**5 - 252 + 1248*w = 0. What is w?\nAnswer: -21, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2525161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.46 - 8.46. Which is the third smallest value? (a) -4 (b) 3 (c) -9 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3143126, 6286255, 9429384, 12572513, 15715642, 18858771?\n\"Answer: 3143129*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-4) + 17\/(-68). List the prime factors of 0 - (450\/n - (-4)\/8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let p(n) = -280*n - 63. Let s(z) = -5 - 4*z + 0 + 3 - 5*z. Let f(i) = -2*p(i) + 63*s(i). Calculate f(g(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5758 - 8?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*j + 201*j - 598*j + 209*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113427 = 4*b + 5*p - 22589, p - 8 = 0. What are the prime factors of b?\nAnswer: 2, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 50. Suppose 3*y + b = 8*y. Solve 5*f = -3*i + 40, 0*i - y*i - 15 = -5*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, r: 1, q: 1, c: 1, d: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2546*i**3 + 308*i + 2153*i**3 - 4702*i**3.\nAnswer: -3*i**3 + 308*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let s(t) = 4*t**2 + 67472*t - 5. Give b(s(m)).\nAnswer: 4*m**2 + 67472*m - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*a = 8, -2*a = -3*v - 2*v + 4. Let m(g) = 2*g**3 - 4. Let b(d) = d**3 - d**2 - d - 1. Let n(f) = b(f) - m(f). What is n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:36 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m - 44*m + 47*m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-205)\/(76260\/496)*(-90)\/(-44)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250614835.\nAnswer: 5, 277, 902971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889978 a multiple of 1082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -92 + (-13 - -112 - 48)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1124994.86 and 41.\nAnswer: 1125035.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 5, -55, -127, -205, -283?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, 110, 33\/1322, -0.5 in ascending order.\nAnswer: -0.5, 33\/1322, 4\/15, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let j(x) = x**3 + 12*x**2 + 7*x + 1. Let t(f) = j(f) + 6*z(f). Calculate t(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 5*s - 2*s. Let m(i) = -i + 8. Give m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*f + 1 = 0, 1038 = 26*h + 17*f + 1019 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d - 7. Let m be f(0). Let x = m + 4. Let r(p) = -p**2 - 8*p - 4. Calculate the remainder when 21 is divided by r(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1977137 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 27*z + 41. Let o = -16262 - -16260. Determine x(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -24*p + 2070. Let v be f(86). Solve -2 = 4*n + q + v, 0 = -5*n - 3*q - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44155871167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/72)\/(3\/(-9)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from uuuqaaauuqaqqutaq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 11. Determine z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1396 and 2096.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 72*a - 424. Calculate the least common multiple of q(6) and 644.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/(3\/4734). Let a be 4\/(-2) + (t - -11). What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 17. Let i be w(15). Suppose -2*l + 30 = 2*o - 40, 3*l = -i*o + 66. Which is smaller: o or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3058953 or 3058954?\nAnswer: 3058953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:28 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1129785905 to the nearest integer?\nAnswer: 33612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5 + 3. Let k(l) = -3*l - 4. Let p(y) = -4*y - 5. Let t(a) = 46*a - 141. Let f be t(3). Give f*k(r) + q*p(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 - 16 + 182)*((-10 - 9*w + 10)*(1 + 1 - 4) - w + 1 - 1) in the form f*w + d and give f.\nAnswer: 3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240 - -239.9. Let b = -5 - -4.8. What is the fourth biggest value in m, -0.4, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3651348303 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010201020 (base 3) in base 14?\nAnswer: 18711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53897077*j**3 + 5610199*j**2.\nAnswer: 323382462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15 + 1284*w - 2*w**2 - 5*w**3 - w**6 + w**2 - 1284*w wrt w.\nAnswer: -120*w**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 4*d - 1. Let f(k) = 14*k**2 - k. What is the remainder when u(-5) is divided by f(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201\/1505 + -2\/215. Which is the closest to -2? (a) -2 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 778623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-10\/11))**(1\/23))**(1\/21) assuming x is positive.\nAnswer: x**(1\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 170359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 136. Let y = 428 + -411. Suppose 26*z - y*z = 108. What is the remainder when k is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1771354 and 579.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169565480\/13 or -13043498?\nAnswer: -13043498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -20*-2*(-1 + 2). Let d be ((-1)\/2)\/(-1 + 38\/a). Find the common denominator of 45\/d*4\/20*3 and 61\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:34 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*r - 11*r**3 + 8*r**3 + 47*r - 2*r**3 - 3*r**3.\nAnswer: -8*r**3 + 371*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.3. Let q = -0.57 - -0.57. Which is the nearest to q? (a) 0 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (418 - 385) + (3 - (14 + -2)) - 16 - -70?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -5, 12, 5, -10, -1 in ascending order.\nAnswer: -10, -5, -1, 1, 5, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, a: 2, b: 3}. Give prob of picking 2 a and 1 b.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22531, -22538, -22543, -22546, -22547?\n\"Answer: x**2 - 10*x - 22522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 6*s - 3*s + 2*l, 6 = -3*l. Let g(o) = -o - 1. Let w be g(s). Let x = -1 - -1. Solve w*y = 5*p - 10, 4*y - 3*p + x*p = -10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1 + a**2 + 0 - 2*a + 0. Suppose -4*h - 11 = -j, -2*h = 5*j - 5*h - 4. What is c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -26.941\nAnswer: 10.7764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001112 (base 3) to base 15.\nAnswer: -1e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 7 - 8. Let i = 58 + k. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/7 + (3 - 29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p**2 + 5*p**2 + 4*p**2. Let m = 2 - -1. Let y(f) = -6*f - m*f + 2*f + 2*f. Give y(c(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 12, -7, 0, 598.\nAnswer: -7, 0, 12, 70, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00265961 rounded to five decimal places?\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 70. Let l be 3 - (-2 + 1 + g + -3). Put l, 0, -3 in descending order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*x - 9*x - 108*x)*(-4 - 3*x + 2 + 0*x).\nAnswer: -33*x**2 - 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14329 is divided by 14256?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/2 (b) -2\/19 (c) -0.209 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11*b*b**(-5)*((b*b*b**1)\/b)\/b**(-2\/27) assuming b is positive.\nAnswer: b**(245\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + (-2)\/(-4). Let a(p) = p**2 + 5. Is 4 a factor of a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*f - 4*w = 265*f + 5, 22*f = 9*w - 7*w + 282 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31303322 (base 4) to base 2\nAnswer: -1101110011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + 5 + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4 + w**3 + 5*w**2\/2 + 4*w + 2. Let x(y) = -2*y**2 - 4*y**3 + 3 - 4*y + y**3 - 6. Determine 2*o(m) + 3*x(m).\nAnswer: -m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0 - 1\/2*o**3 + 0*o - 8*o**2 + 1\/3*o**4. Determine q(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Let v be (2 - (l - -2))*-1. Let t(g) be the first derivative of -g**2 - 3*g - 349. Let k(s) = -s**2 - 4*s - 7. Calculate v*k(n) + 7*t(n).\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/6894 or 0?\nAnswer: 5\/6894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45\/67029923 + -3099464145365\/753483364443. Let i be (4\/(-12))\/(2498\/18). Let l = i - y. Find the common denominator of l and 59\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o + 1. Let r be u(3). Let f = r + -25. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2821276011 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2477107?\nAnswer: 2477107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.93?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 14 = 2*l + 16*n, 2*l + 16 = 2*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26423\/6813 + 8\/757. Find the common denominator of (-64)\/21 - 2\/(-6) and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203400 and 585000.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-66)\/(-440)*5\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:33 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + -c8?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 0. Let l be (-2 - (-2)\/(-18))*(9 - 12). Let y = q - l. Is 5 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:10 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w**5 - 468*w**4 - 980*w**3 - 216*w**2 = 0 for w.\nAnswer: -27, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6252*g**5*x - 104*g**4*x**2 - 2*g*x**2 - 7931*g + 24 wrt g.\nAnswer: 125040*g**3*x - 1248*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v**2 - 1 + 0*v**4 - 8\/5*v**5 + 0*v**3 - 13*v. What is the derivative of i(c) wrt c?\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54\/23, -1\/11, 3\/49?\nAnswer: -54\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 262*m**3 + 305*m**2 wrt m?\nAnswer: 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -8. Let v(n) = 3*n**2 + 3*n + 0*n + 3 + 0*n - s*n**2. What is the tens digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -d + 136 - 42, 0 = -4*s + d + 401. Let k be 6\/9 + (-48)\/s. Suppose 0 = 5*t - 25, 28 = 4*h + 3*t + 9. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70200 and 2457.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 0.057, 0.06 in descending order.\nAnswer: 5, 0.06, 0.057, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 97*j + 22. Calculate b(2).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 80333.51g?\nAnswer: 80.33351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*o = 207*o + 25. Let i be (-9)\/3 + 5 + -3 + o. Solve 4*t - 4*w = -8, i*w - w = 5*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -9.2. Let p = m + 6.7. Let z = -2.02 + 0.02. What is the third biggest value in z, p, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**3 + 5*u**3 + 2*u**5 + (0 + 0 + u**2)*(20*u**3 + u**3 - 97*u**3) - 2*u + 2*u + u**5.\nAnswer: -73*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745 is divided by 268.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**4 + 6*u**3 + 6*u**2 - 9. Let v(s) = -3*s**4 - 4*s**3 - 5*s**2 - s + 8. Let c(m) = -5*n(m) - 6*v(m). Factor c(o).\nAnswer: 3*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/332 and 37\/58432.\nAnswer: 58432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 12) to base 8\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888918415?\nAnswer: 5, 7, 11, 1481, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28009 + -0.24469. What is the third smallest value in z, 3\/4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/((-67469)\/(-318)))\/(-2)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((130\/(-90))\/(-13)*3\/1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 379, 2946, 9907, 23458, 45795, 79114, 125611, 187482?\n\"Answer: 366*l**3 + l**2 + 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6708 (base 10) to base 3.\nAnswer: -100012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -91, -332, -669, -1102?\nAnswer: -1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -11*y**4\/24 - 18*y**2. Let a(c) = -45 + 3*c + 2*c + 45. What is a(w(j))?\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9622, -9488, -9354?\n\"Answer: 134*n - 9756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -231*m. Let i(a) = a. What is g(t) - 11*i(t)?\nAnswer: -242*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/6 + l**4\/3 - 7*l**3\/6 - 10*l**2\/3 - 2*l = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23995 + 23997. Sort -7\/10, -10, n, 0.3.\nAnswer: -10, -7\/10, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -62*x - 55*x + 2 - x**2 + 161*x - 54*x. Let d = -11 - -26. Let f be (-147)\/d + 20\/25. Calculate l(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5\/6, -3\/11, -1, -4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aay when three letters picked without replacement from {a: 2, y: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 1 + 1)*(59*y**3 - 28*y**3 - 16*y**3 + (0*y**2 - 2*y**2 + 4*y**2)*(-2*y + 6*y - 3*y)) to p*y**2 + r*y + x*y**3 + c and give x.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, -4, -3, 0.06, -195, 1.\nAnswer: -195, -4, -3, 0.06, 1, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*x)*(126 - 3*x + x - 133) to w + j*x**2 + f*x and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 45 = 24. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(1\/4). Suppose y - s = -y. Let j be (1\/y)\/(2\/8). Solve -2*f = -o - o, o = -j*f - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let v(q) = -2*q**2 - 5489 + 5489. Give v(d(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 + 68 + 72)*(s**3 - 3*s**3 + 3*s**3) - s**3 - s**3 + 0*s**3 + 2*s**3 + 3 - 3 - 1 + 1 + 2*s**3 to the form p*s**2 + g*s + t + r*s**3 and give r.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.5. Suppose 42 = -v + 39. Put v, 0.02, r in increasing order.\nAnswer: v, 0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.60408866 to two decimal places.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 + 4*a**3 + 4*a - 40532*a**4 + 20262*a**4 + 20268*a**4 in the form g*a**4 + v*a + t + c*a**2 + o*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Let j = w - 0. Let y = -1\/8 + 17\/72. What is the closest to j in 1, y, 2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*z - y, 142*z + 4*y = 140*z + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - (-1239)\/42)*-4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102\/323203, 1\/5, 0.1.\nAnswer: 102\/323203, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - sqrt(228)*1)*-1*-4)\/(-6*sqrt(24)\/sqrt(2) + sqrt(84)\/(sqrt(14)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 123234?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625383 is divided by 406337?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*p + 73*p = 161 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = 10. Let f be 2\/7 + r\/(-7). Which is smaller: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*d**2 - 36*d**2 + d + 91*d**2 + 8 + d + 19*d**2 in the form v + i*d**2 + t*d and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 477785 and 3650?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18741 - -5?\nAnswer: -18736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by -14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:33 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)*((s*s\/s**1)\/s)\/s)\/((s\/(s**(-2\/25)\/s))\/s*s\/(s*((s*s**3*s)\/s)\/s)))\/(s**(-3)*s*s*s**8*(s*s**(-1)*s)**(1\/4)) assuming s is positive.\nAnswer: s**(-1133\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 21 + 27 = 0. List the prime factors of 3\/12 + (-69)\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -11. Let w = 17 - 0. Let s = k - w. Which is bigger: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12884 and 3764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835056605 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 1. Let c(h) = 7*h - 6. Let d(a) = -c(a) - 6*l(a). Let k = -48 - -51. Let b(r) = -r + k*r - 3*r + 2*r. Calculate d(b(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-1 - (-4 + -4)). Let w(n) = -n - 5. What is the least common multiple of w(f) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - -b31cbc?\nAnswer: b3200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.1 + 11.1. Let u be ((-8)\/(-42))\/(2\/3). What is the nearest to m in u, -0.3, -4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-3233)\/(-549) + (-9 - -2))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 27*h**2 - 27*h + 15. Let f(x) = -x**3 - 14*x**2 + 14*x - 8. Let u(n) = -3*a(n) - 5*f(n). Let b = 11573 + -11585. Calculate u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 18. Let d be z(14). Let s = d - -69. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283702145.\nAnswer: 5, 56740429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 40) + (13 - (8 - -2)) + -14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 - 7 = 3*b. Suppose 4*a + b = -3*s, 0 = -s + 4*a - 31 + 3. Let f = 34 + s. Calculate the smallest common multiple of f and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 - y - 1. Suppose 8*m = 4*m - 20. What is q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.56. Let n = m + -1.06. Let l = 0.8 + n. What is the second smallest value in l, 1\/3, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1)\/sqrt(8)*1 + 2 - 5*(2*sqrt(152))\/sqrt(2))**2.\nAnswer: -84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -45. Find the common denominator of ((-2)\/(-8))\/((-6)\/(-496)) and (-3)\/12 + 287\/t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*t + 8025 = 149*t + 27*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409 by -41475.\nAnswer: 409\/41475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*s - 128, 0 = -5*h + 6*h - 4*s + 16. Let t(u) = u**2 + 34*u + 53. Is 8 a factor of t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27085 - 16242 = 341*w + 830*w for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)*15\/(-3). Let z be 2\/(-5) + (-17)\/(-5). Find the second derivative of p - p**q + z*p - 3*p wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = -50. Let f be (-42)\/(-10) - 40\/d. Suppose -20 = -f*h - 5. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnddgndunduddur. What is prob of picking 1 n and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13729746*x**4 - 3375*x**2 - 5*x - 116 wrt x?\nAnswer: 329513904*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdcdcdcccccc. Give prob of sequence dccc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6 - 61*c**3 - 4 - 14 + 5 to the form b*c**2 + l*c**3 + s + w*c and give l.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiui when four letters picked without replacement from uuuiuiuiuuuuuu?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3721 and 6100.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*d**2 + 3*d - 119*d**2 + 173 - 90 + 38*d**2 - 81 to n + x*d**2 + h*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -35. Calculate the remainder when 210 is divided by d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0*s**3 - 1 - 5*s**3 - 11*s + 12*s. Let k(p) = -6*p**2 - 3*p**3 + 4*p**3 - 3 + 2*p**2 + p. Let v be k(4). Determine m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55152*k**3\/5 + 36714*k**2\/5 - 6092*k\/5 - 6\/5.\nAnswer: -2*(3*k - 1)**2*(3064*k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/p**(-19))*p))\/p*p**(-19))**(-36) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -443363369704 minus 1.47?\nAnswer: -443363369705.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 322 = -m - 0*k, 977 = 3*m + 2*k. Let x(f) = f**3 + 8*f**2 + 10*f - 8. Let j be x(-6). Suppose z = -j*z + m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 14. Which is the nearest to 1? (a) 2\/17 (b) h (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4496 divided by -1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -17*y**3 - 15*y**2 - 77*y - 124. What is the hundreds digit of n(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/29 in -1, -3\/2, 0.3, 1\/2, 4, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 1009*u**2\/2 - 2*u + 568. What is the derivative of p(x) wrt x?\nAnswer: 1009","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/3*2\/(-8)*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14733?\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Let w(m) = -5*m + 2. Let s(x) = 19*x + 2 - 44*x + 19*x. What is a*s(j) - 3*w(j)?\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 799*b - 14847. Determine v(19).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*g - 44 = 4*g, -3*g = 6. Let f be 36\/(-10) + d\/(-20). Let m be (8 + -11)*(-4)\/18. Which is the nearest to -1? (a) m (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 4*j - 5. Give m(-7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + -3)*(-1)\/3. Let v be ((-10)\/4)\/(l\/(-6)). Put v, -4, 3 in descending order.\nAnswer: v, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442065311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 1. Calculate k(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111101101100000010 + -1?\nAnswer: -11010111101101100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by -7 - -23 - 4*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n - 3*n**2 + 0 + 6 + n.\nAnswer: -3*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 14 = f, 0 = 2*f + 2*a - 16. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -5, -1, 0 in descending order.\nAnswer: 8, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -290*k**2 + 9*k. Let c(r) = -2*r**2. What is z(c(q))?\nAnswer: -1160*q**4 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3153*w - 2224*w + 4291*w.\nAnswer: -1086*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 352*g + 9216.\nAnswer: -4*(g - 288)*(g + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -14*n - 22. Let h be i(-2). Suppose -h*y + 140 = -y. Calculate the lowest common multiple of y and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7890*v + 570. Let p be y(5). Round p to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, -28, 1\/5, -3, -4, 4 in increasing order.\nAnswer: -28, -4, -3, 1\/5, 0.48, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*n - 3380 + 253. What is the second biggest value in n, -6, 3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 692 and 34451220?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60661, 121324, 181987, 242650, 303313?\nAnswer: 363976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*p**2 + 16*p + 7 wrt p?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let m(b) be the second derivative of -4*b + 0 + 0*b**2 + 1\/6*b**3. Calculate m(h(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 390.8 (d) -173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 1. Let j(c) = 14*c - 2. Let q(n) = -6*j(n) + 17*u(n). Let r(h) = h - 4. Give 4*q(a) - 5*r(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:14 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence occz when four letters picked without replacement from ozopzppzczpzc.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -814\/1175 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 179*g**3 - 15*g**2 - 5*g + 1558. Let x(l) = 3*l**2 - 1. Let a(c) = 5*x(c) + z(c). Differentiate a(h) wrt h.\nAnswer: 537*h**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 834102*i**2*j*u - 11437*i**2*u + 10*u wrt j.\nAnswer: 834102*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1001?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -692.7 - -723. Let z = y - 31. Which is the second smallest value? (a) z (b) -1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 47657168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*s*u*z - 41283*s*z - s + 14124923*u - 6*z with respect to s.\nAnswer: -55*u*z - 41283*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211041441 (base 6) to base 3.\nAnswer: 221220112122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 238765*w**3 + 25886790*w**2 + 703178700*w + 82369000.\nAnswer: 5*(17*w + 2)*(53*w + 2870)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92187, 184368, 276549, 368730, 460911, 553092?\nAnswer: 645273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - g**2 - 4*g**2)*((-3 - 1 + 2)*(-3*g + g + g) + (-109 - 136*g + 109)*(-3 + 5 - 4)).\nAnswer: -548*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2344*g + 1251588 = 8574*g + 5128*g for g.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ba6b (base 13) to base 12.\nAnswer: -aa869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 10*j + 23. Give d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514273561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, 3, 3\/2, 86, 1\/2, -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w - 334943 = -337487 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -37220\nAnswer: -3\/37220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -119 and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhhl when four letters picked without replacement from {h: 5, l: 1, t: 5, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6249 - 6125. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-32)\/6)\/(6\/(-63))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 138968844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5430 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35253, -70492, -105727, -140958, -176185, -211408?\nAnswer: -246627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.381*9769.\nAnswer: 13490.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 9*c**2 - 4*c - 42. Give f(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -24 + -21)*(-5 + 4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -905 >= 1607\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-7 + 11 - 4382\/2). Suppose -s + 0*l + 1099 = -4*l, 5*l + z = 2*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t + 2. Let c(b) = 56*b - 19. Let v(u) = -2*c(u) - 18*x(u). Let f(s) = -2*s + 1. Let g = 6 - 6. Suppose j = -g*j + 7. What is j*f(r) - 4*v(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045425141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 + -3 + 5 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 19 (b) 0.3 (c) -3 (d) 41 (e) 2\/13 (f) 0.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + g + 2 = 0, 0 = 4*d - 3*d + 5*g - 10. Let c = d + 1. Let a be (-15)\/18*c\/30. Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575634 is divided by 986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 108.000114. What is d rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (125 + -30 + 41 + -43).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133188117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(11)*-3))**2 + ((sqrt(80)\/sqrt(2))\/sqrt(2))\/sqrt(10).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 0 + 0 + 0. Let j(d) be the third derivative of -d**6\/360 - d**4\/24 + 3*d**2. Let m(l) be the second derivative of j(l). Determine m(f(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o - 15*o**2 - 62*o**3 - 74 - 9*o**2 + 74. Let m be c(-16). Round m to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.33729 and -30697.37684.\nAnswer: -30697.71413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**2 - 4 - 8*a + 0*a + 6 - 49*a**2.\nAnswer: -72*a**2 - 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/5, 23, -5, 3 in decreasing order.\nAnswer: 23, 3, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58534 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/328 and -97\/564.\nAnswer: 46248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -71. Suppose 0 = -4*p + 3*q - 1, 2*p - 5*q + w = -7. Suppose j + p - 7 = 0. Solve -2*b = -j*u + 23, 3*u - b - 5 = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - -3.6. Let p = -0.4 - -0.4. Let h = 10 - 9. Which is the closest to p? (a) j (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -0.6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -13, 2 in decreasing order.\nAnswer: 2, -0.02, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 42. Let q be o(-16). What is the remainder when 96 is divided by ((-63)\/q)\/(6\/20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*-1*sqrt(85))\/(1*-1*sqrt(125)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/60 + m**4\/8 + 5*m**3\/6 + 7*m**2. Calculate k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 8*a**2 - 10*a - 5. Let b = 4 + -13. Let p be u(b). Suppose -3*d + 34 = p*g + 2*d, 5*d = -g + 16. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.9731 millilitres to litres.\nAnswer: 0.6629731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 2, p: 2, b: 4, z: 6}. What is prob of picking 2 b and 1 p?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10641738?\nAnswer: 2, 3, 401, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/2115 and 33\/3152?\nAnswer: 6666480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-280)\/(-14))\/(-40) + (-1 - (-973)\/2). What is the greatest common divisor of 20 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 84441101038*l + 73 + 84441101038*l.\nAnswer: -l**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (2*(sqrt(78) + sqrt(78)*-1 + sqrt(78) - sqrt(78)) - sqrt(78)))\/(4*sqrt(24)\/sqrt(4)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1655.97 + 1651.97. Let y = 4 - 2. What is the third biggest value in y, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*v + 39 - 2391 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238793 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 5*v - 2. Let p = 190 - 176. Suppose 0 = -4*o + 3*x + p, 5*o - 4*x - 12 = o. Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21222331.\nAnswer: 13, 1632487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -29*g**3\/3 + 61*g**2\/2 + 75*g. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 3, h: 2}. Give prob of sequence hbbr.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-64)\/(-80) - (7196\/(-660))\/(-7) and 6\/(-4)*715\/(-720).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 72 + 3. Suppose -w = 5*c + 4*f, 5 - 18 = -c - 4*f. Calculate the remainder when (-1)\/(((-14)\/(-24))\/c) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17050.6 + 17051. What is the smallest value in 0.5, j, -1, 176.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -o - 9, 4*o = o + 2*n - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d + 2. Suppose -3*l - 5*q = -2*q - 15, -l - 5*q + 1 = 0. Suppose l*n = 11*n. What are the prime factors of p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l = -57*l - 12. Suppose -3*j - 3*j = -l*j. Factor 3\/4*g**3 + 0 + 0*g + j*g**2.\nAnswer: 3*g**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1669531*i**2*t - 395524*i**2 + 8 wrt t?\nAnswer: -1669531*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*z + 803*z + 434*z + 318*z.\nAnswer: 1078*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*f + 149*f - 558 + 2157 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k + 1. Let r = -1 + k. Suppose 7 + r = 2*l. Solve -o - 3*i = -l, 2*i - 7 = -5*o - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2016) - 2*(sqrt(2016) + 2*sqrt(2016)) - sqrt(2016))\/(sqrt(252) - (sqrt(63) + -2*sqrt(63))\/sqrt(9)) + -4.\nAnswer: -72*sqrt(2)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137\/411*(11 + 1*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3535 + 2048 - 864 - 263 + 719)*(-16 - 3*j - 4*j + 6*j) to the form h + o*j and give h.\nAnswer: -82800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-56)\/(-3))*(-1035)\/(-345))\/(3\/(-7))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:44 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k + 22. Let y(j) = j**3 - 36*j**2 + 269*j - 701. Let g be y(27). Calculate the highest common factor of k and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9090 - -13767. Is 93 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 16*y + 4*q - 20, 0 = 3*y - 6*q - 3. Let g(r) = -r**3 - 12*r**2 - 16*r - 13. Determine g(y).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -22*a**2. Let d(c) = 198*c**2. Let j(w) = 44*b(w) + 5*d(w). Let u(p) = 268*p**2 + 253*p**2 - 519*p**2. What is j(u(v))?\nAnswer: 88*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/45*-4*27*6\/252?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4961.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 6, p: 3, j: 1}. Give prob of picking 3 r and 1 p.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -29. Let l be (-2 + 0)\/(g - 7)*-9. Let w(f) = f**3 - 19*f**2 + 15*f + 49. Let m be w(l). Are m and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*t + 6, 3*q - 1 = -2*t + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 7) to base 6.\nAnswer: -1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 - 19 = 11*s. Let b = s + 2. Calculate the lowest common multiple of b and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5 - 6 - 4*v - 3*v + v**2. Let c be r(6). Let f = -5 - c. Solve b + 12 = -f*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ad1a5 (base 14) in base 4?\nAnswer: -1212211031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 3. Let x be q(-21). Let h be 8\/(-3)*x\/16. Solve h*p + 8 = 6*p, 5*p = 4*n + 32 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19299 and 117427982?\nAnswer: 6433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4, -a + 2*d + d - 1 = 0. Suppose -a*o - 2 = 4*n, n + 4 = -5*o - 1. What is the remainder when 35 is divided by (38\/2)\/(o + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 15, a: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/((-294)\/4))\/(9\/27). Let h = -77 + 82. Sort h, 4, -0.2, c in increasing order.\nAnswer: c, -0.2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 r when four letters picked without replacement from wyrkwou.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 1512*s**3 + 551541*s**2 + 15117002*s + 99348648.\nAnswer: (s - 769)**2*(s + 12)*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 301*j**3 + 23*j + 23. Let f(d) = d**3 - d - 1. What is -184*f(s) - 8*m(s)?\nAnswer: -2592*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 34*y**3 - 3*y**2 - 8*y - 9. Does 16 divide r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143753178.\nAnswer: 2, 3, 29, 18067547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 78 (b) -24 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from fvuuavabbafvaabfvbb.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -0.3 (c) -2609779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8064827.7469587 - -8064827. Let i = h + 0.747. Round i to six decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4748)\/8)\/((9\/18)\/(-1))?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23475778 or -23475780?\nAnswer: -23475780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5640\/10949?\nAnswer: -5640\/10949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 - 9*y. Let t be g(8). Let s be (t + 4 - -5)*-5. Calculate the smallest common multiple of (48\/(-30))\/4 - 62\/s and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-2)\/(-4) - 2). What is the common denominator of (186\/16)\/((-2)\/(-4)) and 210\/24 + 0\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672138885 to the power of 1\/2, to the nearest integer?\nAnswer: 51693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16208362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 11 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l + 132704396 = 9961178. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, -6, 13, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 - 142. Let p = -56 + m. Suppose -n - p = -3*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rrwmrwwrrrwrrwwwmmr.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -1 - 10\/9*d**3 + 2\/3*d**2 + 0*d. What is v in n(v) = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 25*w**2\/4 - 187*w\/4 - 363\/4.\nAnswer: -(w + 3)*(w + 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 2*f**2 + 2. Let a(k) = 12*k**3 - 9*k**2 + 9. What is 4*a(b) - 18*o(b)?\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 6. Let a be u(6). Suppose a = 4*t - 5*t + 30. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/40)\/(14\/(-12))*8\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477413474?\nAnswer: 2, 113, 1021, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -6860037.\nAnswer: -3430018.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.325206 tonnes to kilograms.\nAnswer: 325.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11999 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0)*(-3)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + (144 - 152 - (-3 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 7 (c) -11 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16 + 0 = 0. Suppose -1 = -z*a - 9. Suppose 2*u - 20 = 7*u, u + 2 = 2*y. Put 1, a, y in increasing order.\nAnswer: a, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 72*m**4\/13 - 1536*m**3\/13 + 7370*m**2\/13 + 8978*m\/13 = 0.\nAnswer: -1, 0, 67\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*i - 145, -49 = -j + 5*i - 20. Let g = 309 + -281. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364.5 times -1.2\nAnswer: 437.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**3 + 7*z + 7. Suppose -u + 4 = -0*u. Let r(q) = q**3 + 2*q + 2. Determine u*m(p) - 14*r(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5664534 + 1?\nAnswer: 5664535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1537\/6 - -257. Which is the nearest to 2\/5? (a) p (b) -7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/5 + 13\/20. What is the closest to 1 in s, 0.2, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 13*k**2 - 11*k + 11. Let f be o(-12). What is the second smallest value in f, -4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2115396 - 2115396 + 31668*x**2)*(0*x + 3*x - x).\nAnswer: 63336*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333104223?\nAnswer: 11, 79, 1534067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.761856ns in milliseconds?\nAnswer: 0.000009761856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24 = 4*x, 5*u = -4*x + 25 + 3. Suppose 5 = 3*r - 4. Suppose -4*h - 3*o + 32 = 0, -3*h + r*o - 2 = -h. Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2243289 is divided by 1121457?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 32. Let p(z) = 229*z**2 + 1. What is p(m(i))?\nAnswer: 916*i**2 - 29312*i + 234497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-4)\/(8\/(-10)). Suppose -3 - 4 = -b*c + 4*m, 2*c - m = 1. Let o = -5\/13 - -3\/13. Is o < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228213368.\nAnswer: 2, 28526671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*k - 29 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by 1969110.\nAnswer: -29\/393822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1436362 and -65\/152.\nAnswer: 5745448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -388 - -401. Let p(m) = -107*m - 1. Let t be p(-1). Suppose 4*i + 5*b = t, -i + 3*i + 5*b - 58 = 0. What is the remainder when i is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24017097?\nAnswer: 3, 13, 127, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*y - 7107 = 0, 3*f + 4*y - 6968 = 14333. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 81*q - 231. What is the hundreds digit of b(56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/2 - 9349*o**2\/2 + 847485*o\/2 - 19113975\/2 = 0. Calculate o.\nAnswer: -9439, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17604.02 micrometers?\nAnswer: 0.01760402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -16. What is the units digit of -1*t + (-150)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -15.128 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*j**4 - 448*j**3\/3 - 410*j**2\/3 - 124*j\/3.\nAnswer: -2*j*(j + 1)**2*(81*j + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13192605763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -111.6 and -0.07?\nAnswer: 111.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 727 + -733. Which is the fourth smallest value? (a) -3 (b) 1\/7 (c) -4\/7 (d) i (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 + 3*c**3 + 0*c**3 - c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*y - 2. Calculate the least common multiple of y and (40\/60)\/(-2*(-2)\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2252836, -2252873, -2252912, -2252953, -2252996, -2253041, -2253088?\nAnswer: -2253137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617860.8 litres in millilitres?\nAnswer: 617860800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -9*n**2\/2 + 10. Let w(s) = -s**2. Calculate w(p(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. What is the common denominator of (-21)\/d*(-9)\/6 and 31\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.32 times -381?\nAnswer: -3169.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*j + 50*j - 73*j as n*j + p and give n.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - (-8 - -11) - -14. Sort -1, 2, -5, l.\nAnswer: -5, -1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 11797*o\/4 - 407995.\nAnswer: -(o + 140)*(o + 11657)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 112?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/4 - 7*k**3\/3 + k**2\/2 + 6*k - 9. Calculate s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -728977 + 728980. Suppose 4*m - 4*d = 12, -4*m - 13 = -8*m + 3*d. Factor 0 + 2\/5*v**2 + 2\/5*v - 2\/5*v**q - 2\/5*v**m.\nAnswer: -2*v*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2698 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 176*s**2 - 2916*s + 2736.\nAnswer: 4*(s - 12)*(s - 1)*(s + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 4:31 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 30*r + l + 0*l + 154 = -3*l, -r + 4*l + 36 + 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-54))\/(-13)*(-76)\/(-3230)*-34\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2069.5444 and -5?\nAnswer: 10347.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/3 - s + 1. Let d(y) = -3*y**2 - 3 + 5*y**2 + 1. Let k be 2\/7 + (-111)\/21. What is k*n(o) + 2*d(o)?\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)\/(j*(j*j*j**(-2\/33)*j)\/j*j) assuming j is positive.\nAnswer: j**(-97\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 72. List the prime factors of 130 - 0*2\/(-8)*d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w**2 - w**5 - 79*w + 0*w**4 - 4\/3*w**3 + 60. Differentiate z(n) wrt n.\nAnswer: -20*n**3 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*t**3 + 150*t**3 + 11*t**3 + 53*t**3.\nAnswer: 288*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 8*s + 20*s + 97*s + 5*s**2 - 2*s**3.\nAnswer: -4*s**3 + 5*s**2 + 109*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12122 - 21?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.4928 days in minutes?\nAnswer: 520549.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/5 and 62\/567.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Suppose 0 = 2*w - 0*w - q - 14, 4*q = -f*w - 6. Suppose -4*m - w + 65 = 0. What is the remainder when 42 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - 27464*t + 9*t**3 - 1 + 27491*t - 22*t**3 in the form v*t + r*t**3 + o + a*t**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -243*w**3 + 23*w**2 + 17*w + 187. Let u(a) = 81*a**3 - 8*a**2 - 6*a - 62. Let y(o) = 6*f(o) + 17*u(o). Find the third derivative of y(h) wrt h.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*w + 1, 5*w - 41 + 10 = 2*k. Suppose 3*p + w = n, 0 = 3*p - 0*n - 4*n + 2. What is the remainder when (p + 1)\/(5\/(-145)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*p + 5. Let u = 40520 + -40486. Calculate the least common multiple of p and u.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6121 or 12921?\nAnswer: 6121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 5*p**2 + 0*p**2 - 5*p**2. Let x(z) = -26*z + 60*z - 35*z. Give x(j(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(-1 - (-1)\/3). Let z be 0*(-2 + 3)\/((-1)\/u). Suppose 4*w - 14 = -3*j, z*w + 2*j - 6 = -w. Solve 0*s - w*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h - 5*a = -50, 0 = -5*h - 5*a. Let g = -146.138 + 146. Let j = g + -1.862. What is the second smallest value in 1, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offoo. Give prob of sequence oofo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7\/24*b**4 + 0*b**3 + 0 + b**2 + 0*b. Suppose -77 = -69*l - 8. What is v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -9 - -4 - (0 + -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 - (-220)\/(-15))\/(2\/(-3)) + -3. Solve 0 = b*z - 50*z - 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 96. Sort 5, 1, x in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4 + (-4455)\/(-279) - (3 + 9))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 21090 + 21467 = 61*s + 3*s, -s = -4*y - 5*s - 4 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 9*m**2 - 9*m - 13. Let b be n(10). Let y be ((-20)\/(-12))\/((-1)\/b). Put y, -4, 2 in decreasing order.\nAnswer: y, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 3999, 13474, 31935, 62382, 107815, 171234?\nAnswer: 255639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p**2 + 21*p**2 + 17*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 42, 57, 78?\n\"Answer: 3*u**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 + 8*x**2 + 25*x - 56. Let n be c(2). Let g be (8\/(-2))\/(-4 + 3). Solve -2*j + 4*r + 8 = 0, 0 = -n*j + 3*r - g*r - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/11)*o*o)\/o)\/o**(-26))\/(o*o*o*o\/(((o**11\/o)\/o)\/o))**(-17\/5) assuming o is positive.\nAnswer: o**(747\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let s = j - -4. Suppose -2*b - s = -0. Are -1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 44758.\nAnswer: 17903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2+39.37\nAnswer: 41.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 996679, 996683, 996687, 996691, 996695, 996699?\n\"Answer: 4*s + 996675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -312 + -257?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3*-219)\/(-2). Let l = -1 + t. Let s = l - 49. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(1700) - sqrt(1700).\nAnswer: -50*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d. Let z(a) be the first derivative of a**5\/20 + 5*a**4\/24 + 2*a**2 - 8. Let t(c) be the second derivative of z(c). Calculate -t(l) - 5*u(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46248, 46230, 46190, 46122, 46020, 45878?\n\"Answer: -h**3 - 5*h**2 + 4*h + 46250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 4*i, -3*q + 5 = -4*i + 3*i. Suppose 0*t - z + 97 = t, 2*z = q*t - 178. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 11 = q - 5*u, -2*u + 14 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23476027*h**2 - 37022983*h wrt h.\nAnswer: -46952054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20990260\/3 or 26\/7?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -719, -724, -727, -728, -727, -724?\n\"Answer: h**2 - 8*h - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 56*x - 280. Let f be s(-30). What is the third smallest value in 10, -0.2, f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8066 + 0.0766. What is t rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37970673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 10, 18, 26, 34?\n\"Answer: 8*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**6\/60 + 9*w**5\/20 + w**4\/8 - 14*w**3\/3 + 9*w**2 + 1826*w. Factor b(y).\nAnswer: -(y - 18)*(y - 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 232 = -2*r + 663, -b = -5*r - 97. Which is smaller: 85 or b?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102285386 divided by 5579\nAnswer: 18334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 2, -1886 in increasing order.\nAnswer: -1886, -53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 10*x - 36. Let a be s(-3). Let k(q) = -a*q**2 + 4*q**2 + 226 - 226. Let h(j) = -30*j - 2. Give k(h(n)).\nAnswer: 900*n**2 + 120*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/(r*r**(4\/3)\/r) assuming r is positive.\nAnswer: r**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165.0729 - 0.0729. Let o = -0.080885 - -164.997885. Let p = o - j. Round p to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -21\/2 (b) -1 (c) -3\/10 (d) 2868 (e) 5\/3 (f) -0.5 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = h. Put -5, -3, h in decreasing order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 28. Is g(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3280874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-42))\/((-28)\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 10 + 0\/(-2). Suppose -a - 40 = -g*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154 and -39.\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8722771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780405.\nAnswer: 3, 5, 52027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 106, 182?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 12 (c) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-4 + -10)) + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 912*t**2 - 4*t**3 - 912*t**2.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2398 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1577 and 48\/5.\nAnswer: 7885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500859 = 8*x - 161179. Round x to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -124 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = -p. Solve 16 = -2*c - 5*g, -8 = -2*c + p*g + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 163881 divided by 3?\nAnswer: 54627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + (28 - 124) - (-1 - 21).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*x**2*y**4 + 113*x**2*y**2 - 5*x**2*y - 12*x*y**4 wrt y?\nAnswer: -1584*x**2*y - 288*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*w**3 - 2 - 945*w**3 + 1 + 553*w**3 - 2*w - 178*w**3 + 1.\nAnswer: -23*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j**3 + 42*j**2 - 10*j + 26. Determine y(3).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**4\/5 + 36*n**3\/5 - 129*n**2\/5 - 1674*n\/5 - 1512\/5 = 0?\nAnswer: -12, -6, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1440*j**5 + 269*j**2 - j?\nAnswer: 86400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14518061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10*(-40)\/240)\/((-162)\/15)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 3*w**3 - w**3)*(-3*w**2 + 5*w**2 - w**2) + 2*w**5 - 4*w**5 - w**5 + (3 - 1 - 4)*(-8 - 12 + 7)*(3*w**5 - 2*w**5 + w**5) - w**5 + 0*w**5 - w**5.\nAnswer: 49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18\/55?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4720339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-110)\/(-8) - 25\/(-100). Solve -7*i + 7 = b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = -5*g + 1358990, x - 1358992 = -4*g. Round x to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/33 (b) -1 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2152200, 2152203, 2152196, 2152173, 2152128, 2152055, 2151948, 2151801?\n\"Answer: -m**3 + m**2 + 7*m + 2152193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 703 and 702 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-48) - 4\/32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010100 (base 2) to base 16.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/69, -231, 22\/19 in increasing order.\nAnswer: -231, -2\/69, 22\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*u + 21 = 78*u. Let y be ((-60)\/u)\/((-4)\/((-168)\/3)). Suppose 11*d + y = 1561. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*i + 7. Let d(m) = 10*m**3 - 38*m**3 + i*m**3 + 7*m**3 - 2*m. Let j(b) = 2*b**3 + b. Determine -3*d(k) - 8*j(k).\nAnswer: 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + 7*u)*(-1 + 4 - 1).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**2*u**3 + 2*b**2*u**2 + 2*b*u**2 + 213*b*u - 2*b - 8013*u**3 wrt u?\nAnswer: -36*b**2 - 48078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/64)\/((-7)\/(-168)*6)*-4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -7. Let h(n) = n**3 + 7*n**2 + 4*n - 18. Let o = 120 - 126. Let a be h(o). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 6. Suppose 12 = -4*s, 113 = -a + s - 64. Let r be (8\/a)\/((-2)\/l). What is the nearest to 0.1 in r, 4, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -935834*k**4 - 514173*k**2?\nAnswer: -22460016*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/5 + 4\/(-60)*-6. Suppose -14*f = -r*f - 50. Suppose 0 = -5*m + f*l + 45, -l = -m + 3*l + 21. Let x(k) = k - 7. Determine x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -812*b**3*l**3 + b**3*l + 5490*b**3 - b**2*l - 14414*b*l**5 + 160*b*l - 4 wrt l.\nAnswer: -4872*b**3*l - 288280*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0452881144 plus -2295?\nAnswer: -2295.0452881144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) -2 (c) -10334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 12:56 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.68621 months to years.\nAnswer: 24.1405175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291992352.\nAnswer: 2, 3, 11, 1039139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 85 + 56 + -134 + 50\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202 + 293. Let n = -89 + a. What is the nearest to n in 10, 4, -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -45*s**2\/2 + 50*s + 196. Let c be m(1). Solve -4*i = c*o + 10, 5*o + 9 = i - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -886102 or -11519328\/13?\nAnswer: -886102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n - 2 = -4*d, -5*d + n + 10 = 0. Let m be 1\/((-9)\/4)*549\/366. Let s be (-2)\/6 - (-26)\/60. What is the closest to d in m, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*r - 16. Let c = -42 - r. Let t = -18 - c. 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 fourth biggest value? (a) -20 (b) -3 (c) 5 (d) -0.5 (e) -3.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - -191. Differentiate -19*i**2 + 126 + m*i**2 - 56*i**2 - 54*i**2 wrt i.\nAnswer: -258*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37\/55 + 3\/11. Which is the closest to r? (a) 0.3 (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose -z = -b*z + 4. Suppose 0 = c - z - 2. Solve 6*o = c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -5*a, 65*a - 64*a = 3*d - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -8 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 0.53.\nAnswer: 33.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -850 or -828?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7902854?\nAnswer: -5\/7902854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 333419 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -12, 5.757, 2 in ascending order.\nAnswer: -12, 2, 5.757, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-2) + -2)*1. Suppose -u = -2*o - 298, -4*o = -105*u + 101*u + 1156. What is the greatest common divisor of u and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1263 + -558. What is the highest common divisor of x and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 731 divide 31881056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 + 27*v - 25*v + 2*v to m*v + d and give d.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - p + 3*p = -35, -3*i - p + 84 = 0. What is the second derivative of i*j**5 - 23*j**2 - 8*j + 23*j**2 + 47*j wrt j?\nAnswer: 580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7628 + 0?\nAnswer: 7628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 - 2 = 0. Let n be 5*((r - 3) + -2). Solve 4*y - 4*f + n = 13, y = -4*f + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*(m**(-1\/14)\/m)\/m*(m*m**15)\/(m*m\/(m**(3\/2)*m*m)) assuming m is positive.\nAnswer: m**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6079 * 0.05.\nAnswer: 303.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25*(0 + -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -f + 6*f. Suppose 26*y = 20*y + 18. Suppose -y*j + f = -40. Solve -5*m = o - 21, 3*o - j - 7 = -5*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000006526 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/41625 and 187\/2010?\nAnswer: 5577750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101349?\nAnswer: 3, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-6)*12\/9. Let y be (-2)\/6 - q\/(-6). What is the greatest common factor of 20 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113254?\nAnswer: 2, 17, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1054 to two dps.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 - -101.\nAnswer: 101.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 234 = -12*x. Suppose x = 2*t - 2*a, -3*t + 83 = 2*t + 4*a. What is the remainder when t is divided by (-1)\/4 - 66\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 42*w + 560. Give d(-16).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*g + 158, 2*t = 7*t + 2*g - 736. What is the remainder when 232 is divided by t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2*u)*(-121 + 121 - 63*u**2) + 14*u**3 - 4*u**3 - 41*u + 33*u.\nAnswer: -116*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -17*j. Let t(u) = -40*u**2. What is y(t(p))?\nAnswer: 680*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -16, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(110)\/(sqrt(40)\/sqrt(4))*3.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184580354 rounded to four dps?\nAnswer: 0.1846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:55 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 716350?\nAnswer: 57\/716350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35220?\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 36 = -c. Let u = c + -12. Solve -4*d = -4*g + 8, -g + 8 = -u*g + d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from cxcxcxecexxe?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:16 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 4*s - 12. Suppose -a - 62 = -2*l, 5*l - s*a - 231 + 73 = 0. Calculate the lowest common multiple of l and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from {q: 6, m: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -25 + 60 + (1 + 0 + -1 - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.696 to 1 dp.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 25. Let d be p(27). Suppose -7*v + 11975 = -d*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10212)\/(-4) + 4\/4?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 4. Let f be r(6). Suppose 0 = 4*u + 2*h - 108, -f*h - 46 = -u - 9. Solve -u + 4 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/10 - -11 - (-2)\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284.5729nm to kilometers.\nAnswer: 0.0000000002845729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -5*k + 39 - 2, t - 5*k + 28 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/10)\/(2 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 28*u**3 - 11*u**3)*(u + 0*u + u)*(11 - 11 + 10*u).\nAnswer: -700*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33217 - 20912 = -427*s - 108*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l + 6 + 0*l + 5*l to the form g*l + p and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 58*u**2 - 60*u + 2. Let i be n(30). Solve 2*w + 5*d - 9 = 0, -i*d = -4*w - w - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-6))\/((-8)\/(-36)). Suppose 0 = 4*h - 342 - 298. Let q be h\/x*150*725. Round q to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1\/3, 69, -1\/3, 2\/3, -3, -0.0257?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g - 4*q, 2*q - 14 = -5*g - 0. Suppose g*b - 20 - 28 = 0. What is the smallest common multiple of b and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -837.14*23.\nAnswer: -19254.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(605) + -1 + sqrt(605) + 2 + -4 + 3)**2.\nAnswer: 264*sqrt(5) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -p - 3*p + 4*q, 0 = -2*q + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144214 + -0.5.\nAnswer: 144213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 829, 2, -4 in ascending order.\nAnswer: -4, 1, 2, 5, 829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/8, -0.05, -2, -33\/26?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110138 is divided by 4235?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*w + 18 = 0, -3*j - 37 = -8*j - 4*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 49 + 38 = 5*k. Let q(s) = s**3 - 8*s**2 + 7*s + 9. What is q(k)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/5388 and -1\/122.\nAnswer: 328668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 32. Let s(f) = 2*f + 2. Calculate the smallest common multiple of w and s(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + -0.5. Let m = 2.15 + -0.15. Let g(o) = -o**2 + 2*o + 5. Let p be g(4). What is the closest to m in 0.2, n, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 8, l: 5}. Give prob of sequence fbff.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let q(c) be the second derivative of -c**4\/4 - c**2\/2 + 2*c + 67. Calculate q(n(g)).\nAnswer: -3*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = -5*o, -3*b - 2 = 2*o + 6. Solve -7 = -o*k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 - 4*i - 5. Let m be z(2). Sort 0.07, 4, m in increasing order.\nAnswer: m, 0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*c**3 + 46*c**2 - 19*c**2 + 14*c**3 + 56*c**3.\nAnswer: 135*c**3 + 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6\/5 (b) 0.4 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1921.379996 to one decimal place.\nAnswer: 1921.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 450*o - 459*o. Put 0, -5, 5, o in increasing order.\nAnswer: -5, o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7163668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ed10 - -7?\nAnswer: 1ed17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 = 2*w - 4*f, -2*w - 3*f + 690 = w. Suppose -3*z - 641 = -3*d - w, 0 = -d + 4*z + 126. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/84*(24787 - 5) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/24 and -92\/3003.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12866*z**2. Let n(q) = -q. What is c(n(a))?\nAnswer: 12866*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 f when three letters picked without replacement from {b: 4, a: 3, f: 8, s: 2}?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (185\/(-12210))\/((270\/33)\/15)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357110 less than or equal to 1357010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -934633.\nAnswer: -934632.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, -49829.\nAnswer: -49829, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*z - 28, -3*o + o + 5*z = 92. Let u be ((o\/15)\/(-3))\/((-2)\/10). What is the units digit of ((-1)\/1)\/(u\/280)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.663050293 rounded to two dps?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256083, 256084, 256085?\nAnswer: 256086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 288?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 560.97 - 553. Let x = r + -8. Let c = 2.03 + x. Is c smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0340049 - 0.034. Round j to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826291 is divided by 76.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/6*t**5 - 6*t - 5\/6*t**3 - 2\/3*t**4 + 6*t**2.\nAnswer: t*(t - 3)*(t - 2)**2*(t + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(209)*-1)\/sqrt(11) - (sqrt(1216)*1 + -1))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (sqrt(121)\/sqrt(176) - sqrt(11)))*2.\nAnswer: -3*sqrt(11)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -698700 to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (-1*sqrt(272))**2 + sqrt(272) + 1.\nAnswer: 4*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - -1*sqrt(160)*-3)\/sqrt(4))\/(2*sqrt(128) + (sqrt(1152)*2 + sqrt(1152) - sqrt(1152) - sqrt(1152))).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 5*v = 11, 18 = 3*p - 2*v. Suppose 2*m = -2*o + 50 - 4, -4*o = -p*m + 84. Solve 2*b + 6 = 0, 2*b + m = 5*d + 3*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216660 is divided by 903?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-3))\/(-2))\/((-1736)\/(-744))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((38\/133)\/2)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 26624 = -2*k - 27064, 3*t - 4*k - 32210 = 0. List the prime factors of t.\nAnswer: 2, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + ((-53)\/(-11) - 2\/(-11)). Solve -4 = -3*d + 4*x + 12, -j*d + 22 = -2*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132*s**2 - 136*s**2 + 261*s**2 + (0*s + s + 0*s)*(0*s + s + 0*s) - 1 + 325*s - 11*s**2 - 325*s.\nAnswer: -17*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - 27?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -5 + -7 + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 7*n. Suppose -i + 2*i - 3 = n. Let l be (48\/(-18))\/(2\/i). Is l at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209 - 56. Let k = a + -142. Calculate the least common multiple of 172\/14 + 4\/(-14) and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -184*u**5\/5 + 381*u**2\/2 + 714*u. What is the derivative of v(c) wrt c?\nAnswer: -2208*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 9208*n + 73408 = 0. What is n?\nAnswer: 8, 2294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205.3 - 205. Let k be 1*1\/(3\/(-3)). Let v be k + ((-2)\/(-4))\/1. Which is the closest to v? (a) -5 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 - 263?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = -35. Let p(l) = 0 + 6*l + 0 - k*l. Let s be p(-4). Solve -s*n - 11 = 3*d, -3*d + n = 2*n - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/199825 or -1?\nAnswer: 3\/199825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 53\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/15 + 13*y**4\/6 + 1211*y**2\/2 + 6*y + 20. Differentiate j(w) with respect to w.\nAnswer: -8*w**3 + 52*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -44, -332, 26 in decreasing order.\nAnswer: 26, 0, -1, -44, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 17*r - 17*r + r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**5\/5 - 7822*o**4\/5 - 62494*o**3\/5 - 179594*o**2\/5 - 218592*o\/5 - 93672\/5 = 0.\nAnswer: -3903, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35204*k = 35202*k + 10, -n + 14*k = 76 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64785*r**4 - 103037*r wrt r?\nAnswer: -777420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 2\/15 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62555.76km in millimeters?\nAnswer: 62555760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5530314553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -11576770.\nAnswer: 1\/5788385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*((6930\/168)\/(-33))\/((-2)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 a when three letters picked without replacement from {a: 12, b: 1, r: 1}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -184423, -368852, -553279, -737704, -922127?\n\"Answer: q**2 - 184432*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*q + 2 = 92, 5*n = 3*q + 85. Calculate the smallest common multiple of n and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914252 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g**2. Let q(a) = -3*a - 9. Give p(q(j)).\nAnswer: 171*j**2 + 1026*j + 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198756*s**3 - 2*s**2 + 2*s + 118420 with respect to s.\nAnswer: 596268*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.6 and 3669?\nAnswer: 3671.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341333?\nAnswer: 341333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1199 and 151.\nAnswer: -181049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*o - 8, 4*x = -3*o + 19 - 6. Suppose 3*q - c = 6*q - 59, x = -c. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 10*z - 19. Let f be v(-6). Find k, given that -96*k + 2*k**4 - 72*k**2 + 32*k**3 + 384 - f*k**4 - 2*k**3 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 70?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*s - 32. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2591274 - -5?\nAnswer: 2591279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 66.12748 * -3\nAnswer: -198.38244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 327 in descending order.\nAnswer: 327, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110259 greater than 110238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/((-10129)\/2534 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136149522?\nAnswer: 2, 3, 22691587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15964\/36 - (0 + 1). Let z = d - 1318\/3. Calculate the common denominator of z and 31\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4760 and 201212?\nAnswer: 14084840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkukukkkuukkkkukk. Give prob of picking 1 k and 3 u.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3929 divided by -3929?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60510 is divided by 648?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175, 477, 779, 1081, 1383?\n\"Answer: 302*n - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - k**2 - 3 + 1 - 2*k**2 - 1 + (-2 + 1 - 1)*(-2*k + 2*k**2 + 2*k) - 2*k**2 - 2 + 2 + 4*k**2 + 8*k**2 - 10*k**2 - 2.\nAnswer: -7*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*15\/(-9)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 2:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 175103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 24. Let i be 1*(18\/(-14))\/t. Suppose f = -4*p + 4, 3*p = 3*f + 1 + 2. Which is the smallest value? (a) i (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*k - 812 + 868 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363548, -363569, -363590, -363611, -363632, -363653?\nAnswer: -363674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glvru. Give prob of picking 1 l and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*l - 20 + 2, 0 = z - 3*l - 6. Let k be 12\/(-3) + (0\/z)\/1. Let t(o) = -6*o + 3. Determine t(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.2186 * -0.05\nAnswer: 1.26093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x - 2. Calculate the least common multiple of (-54)\/(-7) + (-4)\/(-14) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2. Let r(t) = t + 3. Suppose -u + 2*h = -2*h + 8, 5*u + 40 = -h. Let c(b) = -2*b - 8. Let w(f) = u*r(f) - 3*c(f). Determine j(w(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10326 and 8490.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 95 = -j. Let b = j + -31. Let n = b + 17. Calculate the least common multiple of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117197491 and 95570?\nAnswer: 1171974910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 3 - 19 + 16.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 11 - 20387*a + 10 - 3333*a.\nAnswer: -23720*a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -228 + 68. Suppose -80*i + 82*i - 32 = 0. Calculate the highest common factor of j and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 371.5267 grams?\nAnswer: 371526.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*m + 3*m + 27, -6 = -3*m - 4*u. Solve -2*x - m = 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6563976 centuries to millennia.\nAnswer: 0.06563976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*x - 340 = 0, -2*x - 574 = -5*u + 2*x. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64064153 (base 7) in base 8?\nAnswer: 24551007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40810 + 1958953\/48. What is the common denominator of r and (-9)\/(-99)*194\/(-4)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 7*w**2 + 11*w + 11. Determine a(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 11. Let t be f(-8). Suppose -5*u = -t*u. What is the first derivative of u*y**2 - 2 + y**2 + 5 wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27192 less than 38?\nAnswer: 27230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11147*k - 719172 = 1348*k + 103944 for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193306 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 6 - 3 - 6 + 168*n.\nAnswer: 168*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*p = -11082, 4*p + 458 = 2*b - 10628. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -17, 3 in increasing order.\nAnswer: -147, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/3 + 70*g**3\/3 + 310*g**2\/3 + 30*g - 156 = 0.\nAnswer: -3, -2, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + 24. Let q = k - -15. Let d = -0.725 + 0.325. Put q, d, 2 in decreasing order.\nAnswer: q, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q - 15. Let y be n(4). Suppose 3*o + o + t - y = 0, -o = t - 13. Calculate the least common multiple of 62 and o.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14 + 6 = 0. Let k be (3\/(-2) + j)*-2. Let x(f) = f**2 - 1. Let v be x(k). Solve 0 = -v*r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose 3*w + 0*w - 45 = r. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 2, -48, -150, -322, -582, -948, -1438?\n\"Answer: -3*a**3 + a**2 + 2*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, 0, -3, -1 in increasing order.\nAnswer: -15, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**3 + 0*v**2 + 0 - 3*v + 1\/6*v**4 - 3\/20*v**5. What is the third derivative of m(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 2260 = 2146. Solve 4*l - 2*m - 12 = 0, p*l - m - 43 + 34 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -2*c - 147. Differentiate -22 + 0*l**3 + 0*l**3 - c*l**4 - 3*l**4 with respect to l.\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 641445827 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075894 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 70099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 28815. Let x(d) = -160*d + 1. Calculate f(x(k)).\nAnswer: -480*k - 28812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**3 - 10*q**2 + 0 - 2\/3*q**4 + 0*q. Let o be 4 - ((-42)\/(-8) - (-1)\/(-4)). Calculate d(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156946?\nAnswer: 2, 7, 23, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 6, j = -4*o + 12. Suppose -2*c + 18 = j. Suppose c*s - 6 = 5*s. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 29*d = 2*d. Let u(f) be the first derivative of f**4\/12 + f**3\/6 - 3*f**2\/2 + 6*f + 2. Let b(x) be the first derivative of u(x). Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/36 + 2\/(-9). Let g(h) = 3*h**2 + h. Let i be g(-2). Suppose -2*o = -3*a + 11, -2*a - a + o = -10. Solve -i = -z - q*s, s - a - 4 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -15*p**5 - 17246*p**4 - 436181*p**3 - 2605854*p**2 - 1737976*p - 305728 = 0.\nAnswer: -1124, -17, -8, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 99, 4, -5, -42, 1, -3 in descending order.\nAnswer: 99, 4, 1, -3, -5, -32, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -480414, -483432, -486450, -489468, -492486, -495504?\n\"Answer: -3018*h - 477396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5 = -z + 9*f + 3*f - 48, z - 37*f = -167 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and 0.01021?\nAnswer: 0.09979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/60808 and -115\/12438.\nAnswer: 547272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 4*d - 114 = 0, -4*x - 3*d + 30 = 2*d - 67 - 80 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 - 7 + 7 - 4*k + 1. Is c(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(99) + sqrt(99)*-1) - ((sqrt(11) + -2)**2*6 + -4)) + 5.\nAnswer: -81 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of ((-9963)\/108)\/(1 - (-251)\/(-248))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 984843?\nAnswer: -2954529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 22*z**2 - z - 5. Let c be q(-2). Let h be (-4)\/(-12) + (-50)\/(-3). Calculate the highest common factor of h and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25051583?\nAnswer: 25051583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 2*p**3 + 4*p**3 + 5*p + 2*p**3 - 5*p + (-4*p**3 + 0*p**3 + 3*p**3)*(-4 + 5 + 0) + 380 - 35462*p + 35462*p + 17*p**3.\nAnswer: 20*p**3 + 380","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -35, -124 in ascending order.\nAnswer: -124, -35, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*j**2*w**3 - 28*j**2*w**2 - 2*j**2*w + 6*j**2 - 168974*j*w**3 - j*w**2 wrt j?\nAnswer: 62*w**3 - 56*w**2 - 4*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203338 or 203337?\nAnswer: 203338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.24, -3, 1, -1.487?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -692 - -699. Let z = 6 + -3. Suppose -2*w + m = -z. Solve -3*h + 3*a = 2*h + 35, -w*h - 15 = a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -13\/2*m**3 - 25*m**2 + 0*m**4 + 0 + 1\/2*m**5 + 0*m. Differentiate i(f) wrt f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 - 472*y**3\/3 - 1900*y**2\/3 - 1904*y\/3.\nAnswer: y*(y - 476)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/35*(-1)\/6. What is the nearest to -0.1 in u, 0, -24, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 7*f + 3. Let t be b(-7). Determine q so that -q**3 - 3*q + t*q**3 + q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-45)*g)*g**(3\/13))**33 assuming g is positive.\nAnswer: g**(19833\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*n - 135, 3*n + 68 + 112 = 4*o. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i - 59 + 36*i**3 + 20 + 20 + 28 to the form b*i**2 + z*i + d*i**3 + k and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14517 * 0.8.\nAnswer: -11613.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j + 15. Calculate y(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12462.\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49621.72l to millilitres.\nAnswer: 49621720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 903701848 > 903701847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2736, 21738, 73232, 173436, 338568?\nAnswer: 584846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 9*j**3 + 2*j**2 - 5*j + 7. Let n be r(1). Let k be (-1 + 4)*(2 - -11). What is the highest common divisor of k and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3541 = -7*t + 11*t, 5900 = 5*h - 5*t. What are the prime factors of h?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -0.16\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {b: 17, m: 3}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -325. Suppose 5*s + 3*u = f, -3*u = -4*s + 95 + 102. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 27.2. Let t = 2 + r. Let l = t - -1.2. What is the nearest to -4 in l, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*d + 11 - 3 = 0, 2*d = -i + 8. Let g = -80.64 + 1.64. Let j = -78 - g. What is the closest to j in -0.4, i, -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/358836 and 31\/177?\nAnswer: 21171324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28, 2\/7, 761?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 138*l**2 - 246*l + 4732. Calculate h(-140).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4045 - 4048. What is the third biggest value in 1\/12, -0.3, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-5) - -3*1. Let v(r) be the third derivative of -1\/60*r**6 - 1\/30*r**5 + 0*r + 0 + 1\/168*r**8 + 1\/105*r**7 + 0*r**3 + 0*r**j + r**2. Factor v(n).\nAnswer: 2*n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313945092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7482 and 0.2?\nAnswer: 7482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 0. Let r be 6*q*5\/75. Solve -r*u = -0*u + 3*w - 11, u = 3*w - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-934 + 934 - 2*w + 2*w**2)*(w - 5*w + 0*w).\nAnswer: -8*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1418639*p + 446089?\nAnswer: -1418639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*b - 8, -2*y - 4*b - 2242 = -2176 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70351 >= 70351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*u**2 + 4*u**3 - 3*u - 94*u**2 - u - 91*u**2.\nAnswer: 4*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-451 + 451 + 85*b**3 + (1 + 4 - 3)*(-b + b + 2*b**3))*(-2 + 2 - 1)*(2*b - 1 + 1).\nAnswer: -178*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100493848 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195856 minus -28540?\nAnswer: 224396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 20240.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 7859*h + 40 - 10 as t*h + s and give t.\nAnswer: -7859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 394324*s - 788670. What is x(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, 2507 in decreasing order.\nAnswer: 2507, 23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = -3*v, 5*v = -b - 5 - 5. Suppose -b*g = -15 + 5. Solve -8 = 3*u + r, -20 = -g*u + 5*r + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -173 and 0.3?\nAnswer: -51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j - 27*j**5 + 28*j + 8*j + 70*j**5 wrt j.\nAnswer: 860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -20*y + 21*y. Suppose -2*m = -0*m - y. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 3*f + 1. Suppose -6*h + 4*o = -h - 41, 4 = 4*h + 4*o. Let g = h - 6. Let i = -5 - g. Calculate x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -165. Let p = -80 + c. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/1*2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g**2 - 247*g + 24. Let s be t(-17). Calculate the highest common factor of 15 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -396*f - 3752 - 4168 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l*l*l**(-1\/20))\/(l*(((l\/(l**(2\/3)*l))\/l)\/l)\/l)**(-1) assuming l is positive.\nAnswer: l**(197\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*v = 6, 2*o - v + 4*v = 7. What is the common denominator of (-10 - -3) + 138\/(-9) and (5\/o)\/(-5) + -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y - 5. Let p be (140\/42)\/(2\/3). Let q be s(p). What is d in 28*d**3 + 73*d + 149*d**2 + 4*d**4 - 25*d - q*d**2 = 0?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {i: 2, m: 2, t: 4, q: 2, s: 2, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -850044 divided by 4?\nAnswer: -212511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8550?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 6) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 17 (c) -2\/17 (d) 2\/7 (e) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3442201754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t + 4. Suppose 0 = 3*j, q + 0*j = -j. Suppose 1 = 3*s + 10, 3*v + 4*s + 24 = q. Determine r(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {j: 3, s: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-4 - 9\/(-3)). Suppose -h - 112 = -q*h. Calculate the remainder when h is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/48)\/(2\/(-8)). Let b be (-20)\/90 + 38\/z. Is (-12)\/b + 120 + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let u = -0.8 - -0.5. Let s = u + 0.4. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21199 and 145077227?\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*t**4 - 2032*t**3 + 92951*t**2\/3 - 98845*t + 280900\/3 = 0. Calculate t.\nAnswer: -20, 53\/24, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 19. Suppose 6*h - k*m - 10 = 4*h, m + 1 = -h. Let s = -17 - -17. Is s greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 218 - -29353?\nAnswer: 2956b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 3, y: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 5*v - 2, 2*v = -3493*j + 3496*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201, 1206, 1211, 1216, 1221?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(10\/(-15)) + (-24 - 2). Let z(n) = -2*n**2 - 46*n + 43. Calculate the smallest common multiple of 5 and z(d).\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 941*y - 1. Let m = 1 + 0. Let u be i(m). What is u rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033 + -3?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16414 - 16414 - 2373*h - 2672*h.\nAnswer: -5045*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 218291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3507010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/(l\/(l\/(l*l**(1\/9)))))\/((l\/(l\/(l\/((((l\/(l\/(l*l\/l**(12\/7))))\/l)\/l)\/l))))\/(l\/l**(-18))) assuming l is positive.\nAnswer: l**(851\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 1 - 1)*(-2 + 3 + 0) + 2*x - 2*x + 2*x**2 + 1 + 7 - 1866*x**2 - 9 + 4 + 2 in the form i + b*x + d*x**2 and give d.\nAnswer: -1865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 248182?\nAnswer: -248181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m + m + 17*m + 2099*m**3.\nAnswer: 2099*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3462 and 876.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-86)\/30 + (-46)\/345. What is the closest to 1 in 2\/9, -2, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 212\/123129, 4, 1?\nAnswer: 212\/123129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21 + 133)\/(56\/16). Calculate the highest common divisor of 14 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a minute in seconds?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -12*i + 185. Suppose -i*q = -21*q - 1394. Suppose -2*n = 5*z - 3*n + q, -4*z - n = 1108. Round z to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-18)*r*r**(-1\/11))\/(((r\/(((r\/((r*r**(2\/67))\/r*r))\/r)\/r)*r)\/r)\/r*r**(1\/8)*r))**(-19) assuming r is positive.\nAnswer: r**(2155987\/5896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*h - 2*a - 9, h - 16 = 2*a. Suppose -39*y + h*y + 2759 = 0. What is the highest common factor of y and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222583 at most -222583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 1, 8 in descending order.\nAnswer: 8, 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1032873, -1032872, -1032871?\n\"Answer: y - 1032874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7\/3*(-27)\/(-72)*8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 13. Let v be 24\/84 + 26\/n. Suppose 3*p + v*s - 181 = 0, 229 + 13 = 4*p + 5*s. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2616768 divided by -924.\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175.9 - 175.8. Let d = 0.09 - 5.09. What is the biggest value in -0.1, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 7*l - 1056 = -h, -5*h = 3*l - 1584. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - 2*h**2 + 2*h. Let n be o(-2). Let v = -500 - -504. Calculate the highest common divisor of v and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1129631*j**2 - 12*j + 3. Let l be -18*((-102)\/(-12) - 8). Let p be h(l). What is p rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -58\/3, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.74 - -0.747. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 38*p**2 + 72*p - 4. Give j(36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2768 = -3*z - 2*i, -2*i + 82 = z - 850. Calculate the greatest common divisor of 1632 and z.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -5, -12, -35, -80, -153, -260, -407?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**5 + v**3 - v**2 + 1. Let h(g) = 2*g**5 + g**4 + 8*g**3 + 10*g**2 - 10*g - 11. Let u(f) = -3*d(f) - h(f). Let u(c) = 0. Calculate c.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17846 + 17850. Solve -10 = -5*g, -5*c - 4*g + 6*g = x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1542501*y**5 + 7*y**4 + 107054044*y wrt y?\nAnswer: 30850020*y**3 + 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-272))\/(119\/(-68))*21.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*g + 5*g - 3895, -c = 4*g - 797. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3626 + 3745. What is the greatest common factor of 2324 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3886375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 58*l = -54*l + 344 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.501407 hours?\nAnswer: 1805065200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Let k(x) = -5*x + 0*x + 4*x**2 + 4 - 5*x**2. Let w be k(-5). What is the closest to 0 in 0, w, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 55927, 4 in descending order.\nAnswer: 55927, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4685.202mg in tonnes?\nAnswer: 0.000004685202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62.91128 and 4?\nAnswer: 251.64512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1874 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*f + 102*f + 102*f - 171*f**2 + 5 in the form l + o*f + d*f**2 and give d.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*c - 8, y - 2*c - 4 = 6. Suppose y = -n + 8. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-506 + 974 - 490 - 16*t**2)*(-t + 0*t + 2*t).\nAnswer: -16*t**3 - 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93b (base 16) to base 5.\nAnswer: -33423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 22. Factor 3*i**2 + 10 - k*i + 3 - 4.\nAnswer: 3*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -n + 67, 3*s + 3*n - 47 = -2*n. Let u be 2\/(-6)*63\/(-7). Calculate the greatest common divisor of s and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*l**2*z - 2*j*l*z - 2*j*l - 2*j*z**2 - 215*l**2*z**2 - 44*l**2 wrt z.\nAnswer: -4*j - 430*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89\/178 - (-18)\/(-52)) + 582\/(-741).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -785*-5\nAnswer: 3925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0482906472 to 4 dps.\nAnswer: -0.0483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14062803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-14))\/((-1)\/(-7)) - -5. Solve 14 = h + i*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 31 = -23. Let a be z\/(-8)*12\/9. Suppose 92 = 3*u + n, a*u - 6*u + 2*n = -95. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2229638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 112 = -67 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 2. Let w = 29 + -17. Suppose 2*t - 32 = -w. Is j(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 + 0)*(24*b - 19 + 19) + 14*b - 30*b + 18*b)*(5 - 5 + 3*b) as m + q*b**2 + o*b and give q.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-10 - 3) + 10 - -2) + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}