diff --git "a/data/dm_maths/full_data_2/10787_11255.jsonl" "b/data/dm_maths/full_data_2/10787_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10787_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence ttab when four letters picked without replacement from bbybybbbhabbbhytttt?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2424431 (base 6) to base 3.\nAnswer: -20111122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 108. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 - 11110001?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -3*s**5\/20 + 7*s**4\/12 + 2*s**3\/3 - s**2\/2 + 11*s. Let i(x) = 2*x**3 - 5*x**2 - 3*x + 1. Calculate -7*i(o) - 5*n(o).\nAnswer: o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -221*v**6\/15 - 3*v**5\/20 + v**3\/3 - 1602*v**2 + 2722*v. What is the first derivative of y(o) wrt o?\nAnswer: -1768*o**3 - 9*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3169664 to four dps.\nAnswer: 1.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 760969509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027833014 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - 3*j)*(-95 + 43 + 64) + (0*j + j - 2*j)*(2 + 1 - 4).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219226.\nAnswer: 2, 7, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.649 rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/(-108) - 16\/(1*-4)) + 5450\/(-450).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o**5 + 10835*o**4 + 36630*o**3 + 34420*o**2 + 8600*o = 0. What is o?\nAnswer: -430, -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = 3*h + 2*h, v + 33 = 5*h. Let r be v\/(-6) + (-1050)\/(-9). Round r to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.3043595 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (3 - 0) + 336\/6 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742\/6*230\/(-5474)*-51*2\/5?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = -32. Suppose -12*b = -f*b. Let i(y) = 6 - 2*y - y**2 + b*y**2 - 2*y. What is i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/65)\/((-12)\/(-50))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 6*n - 4*n)*(6*n - 3*n - 2*n) + (-3*n + 0*n - 2*n)*(-3*n - 2*n + 6*n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.54 - 3.54. Which is the closest to 2\/5? (a) 0.4 (b) 1 (c) -2\/625 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + 0))*1*2*-4 - (2*sqrt(567)*2 - (-2 + sqrt(567))*3))**2.\nAnswer: 108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w**2 - 5*w + 13. Let c be k(2). Let v = -102 - -211. Let r = v - c. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**2. Suppose 140 = 4*s - 2*s. Let j be ((-6)\/(-10))\/(7\/s). Let q = -5 + j. Calculate y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/70 - z**4\/14 + 10*z**3\/21 - 4*z + 15. Factor k(i).\nAnswer: -2*i*(i - 2)*(i + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 4 + 2*a + a. What is the units digit of l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13668*b**2 + 13668*b**2 - 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/4 - 20*g**4\/3 + 295*g**3\/6 - 110*g**2 + 3*g + 24. Factor y(i).\nAnswer: 5*(i - 11)*(i - 4)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 23*a**2 - 68*a + 1484. Give h(21).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhqyqyhhhqhhlhhelht. What is prob of picking 1 e and 1 t?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7))**17\/(z**(-5\/3)*z**(-3\/4)) assuming z is positive.\nAnswer: z**(-1399\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) 3 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - c + 2 = -2, -4*c + 16 = 4*q. Let p(l) = 2*l + 37. Let f be p(q). Suppose -42*i = -f*i. Round i to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4441*g = -5401*g + 5930*g - 6649*g - 1024417 for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13689 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.7 (b) -2\/7 (c) -106 (d) -0.1516 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 35 - 35. Solve u = -a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*-17*(10\/(-4))\/(2\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**5 - 2*p**5 + 2 - p**6 - 1429*p**2 + 83*p**2 + 78*p**4 + 623*p**2 wrt p?\nAnswer: -120*p**3 + 180*p**2 + 1872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -560 divided by 56\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1585 - 31691\/20. Are r and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 24355*x - 24360.\nAnswer: 5*(x - 4872)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6956369 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 520 - 338. Let w = -79 + r. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/3 - 26*a**3\/3 + 64*a + 4. Suppose w(k) = 0. What is k?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -15*d + 22. Let n be p(-13). Let h = n + -123. Suppose o = -a - 3*o + h, o + 197 = 2*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132466 and 87279.\nAnswer: 18677706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5180 and 700?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7*f - 16*f - 195799 = 0, 4*f + 48955 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*p = 287*p - 510 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10315.851+-5\nAnswer: 10310.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 15. Let j(s) = -4*s - 15. Let u(i) = 2*d(i) + 3*j(i). Let v be u(-11). Solve 0 = -2*g + v*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7208362*o**3*t*w - o**3*t - o**3*w + 2*o**3 + o**2*t*w - 706*o**2 + 8*o*w - 424*o wrt o.\nAnswer: 43250172*t*w - 6*t - 6*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (489\/(-326))\/(((8\/(-30))\/4)\/(12\/5)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**(-1\/10)*v))\/v)\/(v*v**(-6))*(v*v*v*v**0*v*v)**(2\/13)*(((v\/(v\/((v\/(v**3*v*v))\/v)))\/v)**(-40))**(11\/3) assuming v is positive.\nAnswer: v**(114747\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15*7\/2. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092550654 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185085 and 810.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:45 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = r - 246 + 248, 8 = 4*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3355025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i - 19. Let j be x(6). Is (-7 + j)\/(4\/(-1754)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 16*r - 28. Let g be z(-13). Suppose 4*h + 13 = -5*l, -l - g = -6*h + 11*h. What is the units digit of (h\/(-3))\/(-1) + (-179)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617074 - 308592 - 308477 - 4*f.\nAnswer: -4*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y**(-2\/9)*(y**(-2)*y)**(-47) assuming y is positive.\nAnswer: y**(358\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 12 - (-26 + 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 88586856?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/4 - (-2)\/(-8). Let j = -1023.67 - -1023.17. Which is the biggest value? (a) -0.4 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/30 + (-44)\/(-10). Suppose -h + 2 = 0, -b - c*h - 79 = -4*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1335, 2663, 3991, 5319?\n\"Answer: 1328*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17629 + -599343\/34. What is the common denominator of c and -23\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 12b334?\nAnswer: -12b331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/3925 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/647 (b) -0.09 (c) 1 (d) -13 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5773.078 centuries to decades.\nAnswer: 57730.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-7)\/3*-3. Let n = l - -3. Suppose -2*r - n = 2*o + 3*r, 0 = 3*r + 6. Solve -d + 4*d + 4*w = 12, o = -w + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qffffqfq.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 4. Let j = 51.71 + -1.71. What is the second biggest value in -2, f, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2980 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**3\/5 + 1245*x**2 + 253851*x\/5 + 25074 = 0.\nAnswer: -995, -42, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:06 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15505 (base 6) to base 11.\nAnswer: 1a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 + 13*p - 41 + 46*p + 5*p**2 + 41. Let z(j) = j. Determine z(c(a)).\nAnswer: a**2 + 59*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14033678 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let u be 2 - (8\/2 - a). Let y(f) be the third derivative of f**6\/120 - f**5\/60 - f**4\/24 - 3*f**3\/2 - 2790*f**2. Determine y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 11*z - 4. Let k be j(3). Suppose 3*g + 72 = k*o - 15, 2*g - 82 = -2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 2. Let w(r) = 4*r + 3. Let s(c) = 7*u(c) + 5*w(c). Suppose -11 = f - 5*b, 0*b - 9 = f - 4*b. Calculate s(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -21, 3, 1\/6, -3, -130, 0.01?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07079791 minus 8?\nAnswer: -7.92920209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.7 + 8.5. What is the closest to n in -1\/5, -1\/3, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0\/6 + 1. Calculate the highest common divisor of 27 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 24\/4998*8561 - ((-24)\/21)\/4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-98)\/(-28))\/(63\/(-414)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbbwb. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2962 and -0.503893996?\nAnswer: 2961.496106004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66581 times -0.1\nAnswer: 6658.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241 - 213130?\nAnswer: -211334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33841621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425385 is divided by 579.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzkkz. What is prob of sequence zk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55604*r**5 + 7*r**4 - 8*r**3 - 6326588*r**2 wrt r.\nAnswer: -3336240*r**2 + 168*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*1\/4*84\/(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/70 + -3\/10. Let x = -5254 + 5253.8. Sort 3, -2, u, x.\nAnswer: -2, x, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 14 + 25 = 4*o, -2*i + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(18)\/(sqrt(2) - -1*sqrt(98)))\/((-2*sqrt(144))\/sqrt(3) - sqrt(48)))**2.\nAnswer: -1\/1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*k**2 + 378 - 107*k**2 - 90*k**2 - 15*k**3.\nAnswer: -15*k**3 + 3*k**2 + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r + 2. Suppose 0 = 5*a - 2*a. What is the least common multiple of m(a) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h*h**(1\/3)\/h))\/h*h*h**(-4)*h*h**(-1\/5)\/(h*h*h*h*h**0*h))**23 assuming h is positive.\nAnswer: h**(-2254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1000?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1075 - 1b0?\nAnswer: ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/(-511))\/(-1*1\/(-49)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 21 in increasing order.\nAnswer: -15, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 268 and -20.\nAnswer: -5360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 3324882?\nAnswer: 7\/3324882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26176.9 and -118?\nAnswer: 26058.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + (17386 - -3). Round o to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 1. Let r(x) = -x + 1. Let y(k) = 4*k - 5. Let p(z) = -10*r(z) - 2*y(z). Give p(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 19 = 0, 11 + 12 = 4*q - f + 13 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3)*2 + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 216*m**3 + 24*m**2 - 21*m + 10. Let b(k) = 43*k**3 + 5*k**2 - 4*k + 2. Give 11*b(n) - 2*y(n).\nAnswer: 41*n**3 + 7*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15) + (-5)\/3. Let z be 2 + 1\/f + 2. What are the prime factors of 42\/4*10\/z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -34 - 479*n + 74*n**2 + 479*n + 34. Let z(d) = d + 5 - 6 + 1. Give b(z(h)).\nAnswer: 74*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 3917.904?\nAnswer: -3917.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48866700167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23381, 46876, 70371, 93866, 117361?\n\"Answer: 23495*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + f - 1. Let s(c) = -8*c**2 - 21*c + 3. What is 3*q(h) + s(h)?\nAnswer: -17*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(((-6)\/(-9))\/((-24)\/18)). Suppose 0 = -42*q + p*q - 98000. What is q rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 27810\nAnswer: -1\/4635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-875)\/(-200))*(-11)\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/3 - 4*y**3 + 32*y**2 + 29*y. Factor j(k).\nAnswer: -4*(k - 2)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {w: 3, o: 6, r: 3, b: 1, i: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53261714 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -65341 (base 7) in base 4?\nAnswer: -3332221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (3 + 8 + (-1 - -9) + -15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -0.0457?\nAnswer: -19.0457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 31, 5 in decreasing order.\nAnswer: 31, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.5, 1\/7, -163074, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 + (-13 + -2 + 2 - (-262 + 166 - -93)).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 150*t + 1875.\nAnswer: 3*(t - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 928652201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 281*x\/4 - 9825\/2.\nAnswer: -(x - 150)*(x - 131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -0.3, 1\/2108, -2 in ascending order.\nAnswer: -2, -0.3, 1\/2108, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (12 + -4 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.719 times 109818\nAnswer: -408413.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 6\/12731495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 3\/(405\/111). Let t = -8\/5 - i. Let 10\/9*x - t*x**4 - 2\/9*x**3 + 4\/9 + 2\/3*x**2 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (sqrt(17) + sqrt(17) + 1)*-6)*2 + 5)**2.\nAnswer: 308*sqrt(17) + 8277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/140 + z**4\/84 + 15*z**3\/7 - 52*z + 3. Factor a(u).\nAnswer: -u*(u - 10)*(u + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (-8)\/8 - 11. Suppose 0*o - 4*g = 5*o - 9, g + 19 = 3*o. Put -3, o, l in decreasing order.\nAnswer: o, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 times 6?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Suppose -2 = 5*y + 2*l - 6, 0 = y - f*l - 14. Let n = 5440 - 5433. Solve 0*u + u = -4*j - n, -3*j + y*u - 19 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.525614.\nAnswer: 3.679298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22437562007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 0*x - x + 55*x + 6*x + 40*x + (0 + 0 - 2)*(2*x + 4 - 4) to the form k*x + c and give k.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = 15*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + (-1)\/(3\/(-9))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4100 is divided by 534.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 935, 2055, 3623?\nAnswer: 5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 3018012.\nAnswer: 12072048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*k - 929*k - 4*d - 12 = 0, 5*k = 2*d + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c40 + -7?\nAnswer: c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y**2 - y**2 + 22*y + 69*y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15 + 12 - 28. Let f(u) be the third derivative of -u**4\/24 + 5*u**3\/6 + 4*u**2. Calculate -f(s) - 4*x(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -4652*x**3\/3 - x**2\/2 - 510*x - 4706. What is the second derivative of m(w) wrt w?\nAnswer: -9304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Let w = o - 1. Suppose 5*a + 1 - 16 = w. Let z(v) = -v**3 + 3*v**2 + 2*v - 3. Determine z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651564 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 2*(-6)\/4. Let g(y) = 8*y**2 + 2*y. Let c be g(-4). Suppose 5*p + 5*l = c, -3*l + 7*l = n*p - 58. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2990*r**2 - 53825*r - 90.\nAnswer: -5*(r + 18)*(598*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23648973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**4 + 7*h**3 + 5*h**3 - 2065*h + 2*h**3 + 10*h**3 - 23*h**3 in the form r*h**2 + j + k*h**3 + f*h**4 + d*h and give d.\nAnswer: -2065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -119 - 1\/16*a**4 + 0*a**3 + 1\/8*a**2 + 0*a. Determine g so that z(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1823590 and -89\/12?\nAnswer: 10941540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/v**(-3))\/(v**0\/v**7))\/((v**(-2\/9)*v**2)\/(v**(-6)\/(v**4*v))) assuming v is positive.\nAnswer: v**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.948 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21895 is divided by 10940?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*v + 1. Suppose t = v, -7 = d + d - 5*t. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1778989, 3557936, 5336885, 7115836, 8894789?\n\"Answer: y**2 + 1778944*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/20 - 12194\/(-2210)) + (-4)\/34?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 1 + -1 + -8 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**6 - 4*x**3 + 18*x**2 + 4*x - 4. Let v(l) = l**3 + l**2 - l + 1. Let z(r) = -q(r) - 4*v(r). What is the third derivative of z(m) wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 35. Let d be x(6). Let s = d + 111. Suppose -4*w + 17 = g, -5*g - 25 = -w - w. Solve 0 = j + w*y + 13, j + j = s*y + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 1 = -8*t, 1 = -2*f + 3*t. Let s(w) = 33*w - 33. Let l be s(f). Let y = 2 - 4. What is the third biggest value in y, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 166.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2413 + -111125520?\nAnswer: -111132333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1018756.\nAnswer: -3056268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*w**2 - j**2*w - 2429*j**2 + 4*j*w**2 - 1528*w**2 + 5*w wrt w?\nAnswer: -4*j**2 + 8*j - 3056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*2*(-2)\/4. Suppose -h*z - 2*j = -261 + 91, 0 = z + 5*j - 57. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6 - 11 + 3*l**2.\nAnswer: 3*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32214504 (base 6) to base 5\nAnswer: 220413031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9586 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 9, 3\/20, -2, -3, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 3*r - 593 = 0, 5*s - 1131*r + 1126*r + 165 = 0 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-12)\/(-171))*52\/(-39). Let a = 42 - v. Suppose f - 227 = -2*t, a*f - 874 = 5*t - 5. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1327233 and -79\/846?\nAnswer: 7963398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - 61 - (4 + -12 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1359 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955672?\nAnswer: 2, 17, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x**2\/4 + 27*x - 63 = 0 for x.\nAnswer: 42\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15548764 and 13300?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*k - 49, -2*k + 0*k - 2*g = -24. Let z = k + -17. Is 4 a factor of -4*(-1 - (-4 - z))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z**2 - 8*z - 6. Let l be t(-3). Solve -2*j = l, -2*f + 4*f + 8 = j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -v + 173, 15*v + 4*h - 121 - 96 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 8604 (c) 1\/8 (d) -1 (e) -3.1 (f) 0 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*b = -163*b + 4*p - 16760, 4*p + 280 = -5*b for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*g + 1041 - 598 = -1411 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4166 and 74988?\nAnswer: 74988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3543520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.97 - 3.97. Let g = -84 - -84.2. Which is the nearest to 10? (a) u (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/208*13 - 4 - 4278\/96)*-2.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 - 2748*t**3 + 37212*t**2 + 604992*t + 1039104 = 0. What is t?\nAnswer: -8, -2, 24, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/33 and -115\/282.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*w**3\/3 - 22*w**2\/3 - 244*w\/3 - 296\/3.\nAnswer: (w + 2)**2*(13*w - 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2141306*z + 93091*z + 295915*z.\nAnswer: 2530312*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + g - 4. Let w be l(-5). Suppose 3*m + w = 355. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (-60)\/(-6) + -5. Solve 5*p = 5*r + 45, -3*r + 4*p - 33 + 1 = y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 + -76. Suppose -3*g - 5*p + 80 = -2*g, 0 = v*p - 8. What is the greatest common divisor of g and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 11*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3\/3 - y**2 - 100. Let g(d) = d**2 + 4*d. What is 6*g(x) + 11*m(x)?\nAnswer: -5*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282863643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 668512641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -343 - -1*1. Suppose 92 + 17 = g - 5*t, -3*g + r = 3*t. Suppose 5*u - g - 16 = 0. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 s when four letters picked without replacement from epseppepessp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 6*x + 3*x)*(-5 - 3 + 4)*(51 - 20 - 14).\nAnswer: -340*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27893, -111699, -251365, -446885, -698253?\nAnswer: -1005463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12369 is divided by 324.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 + 1023*a**4 - 355730*a**3 + 44307772*a**2 - 789147144*a + 745194080.\nAnswer: -(a - 334)**3*(a - 20)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from hfhzfz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30366.32 - -30863. What is u rounded to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -333 - -333.602. Let b = 0.5 - l. What is b rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 5*t + t)*(146 - 43 + 340) - t - 3*t - t + (1 + 0 + 0)*(2*t - 4*t + 0*t) as h + s*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2234.\nAnswer: 4\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13*g + 28. Let q = 18 + -142. Let h = 115 + q. What is the tens digit of i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((0 + 1 + sqrt(320)*2 + (sqrt(320) + 0)*2)**2 - ((sqrt(320) + -1 + -4 - sqrt(320)*-1*4) + -1)**2).\nAnswer: -2910 + 544*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-17)\/(-2754)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 113*d**2 - 522*d - 2799. Determine x(-52).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llbpbpqbpllpppqd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-5 + -88)\/(0 + -3). Suppose -33*m + 1610 = -q*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97784 take away 3090149?\nAnswer: -3187933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 154.652938 - 3\nAnswer: 151.652938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 (base 12) in base 13?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 35 + 2 + 2. Let n = -14 + q. Suppose -3*t - 5 = -29. Calculate the remainder when n is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f - 53. What is w(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(((-16)\/(-124))\/(-2)). Suppose 2*v + 2 = 0, -4*v + o + 10 = -2*h. Let k = -26 - h. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353\/61 - 911\/305. Suppose w**2 + 1\/5*w**3 - g*w + 0 = 0. Calculate w.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, 5870, -5 in decreasing order.\nAnswer: 5870, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -86, -0.2, -0.1, 1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))**22\/(d\/(d**(-2\/3)\/d)*d**(-7)*d*d))**(2\/5) assuming d is positive.\nAnswer: d**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 199, 1\/2, -0.3 in descending order.\nAnswer: 199, 1\/2, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -944 - -931. Let q(n) = n - 2. Let k(z) = 3*z - 4. Determine o*q(h) + 6*k(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/30 + 5*u**4\/12 - 50*u**3\/3 - u**2 + 76. What are the prime factors of n(21)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(3 - 3 - 2*o)*(4 - 1 + 6) + 500*o + 43*o - 247*o.\nAnswer: 350*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Let v = -2.7 - t. Let x = -2 - -1.9. Sort x, -2\/7, v.\nAnswer: -2\/7, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2. Suppose 0 = -5*n - 0*t - t + 76, 2*n = 4*t + 48. Suppose 0*m - m + n = -4*d, 0 = -5*m + 2*d + 8. Let i(k) = -2*k - k + m*k. What is i(r(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 11 + 17 + 863*t**2 in the form p + b*t**2 + l*t and give b.\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5362790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 64790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*4*(-6)\/(-12). Factor -k**2 - 10*k + 10*k + k**v.\nAnswer: k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10361 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i + 8 + 0*i**2 + 3 + i**2. Let q be v(-7). Suppose q*y - 218 = -5*p, -4*p + 120 + 40 = -4*y. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 58. Let t = 30.9999943 + i. Round t to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1886911.88 to the nearest 100.\nAnswer: 1886900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, q: 14}. What is prob of picking 1 q and 1 h?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3286, -6705, -10124?\n\"Answer: -3419*t + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -14\/5*a**5 - 20*a + 0*a**3 + 0*a**4 + 24 + 0*a**2. What is the first derivative of g(z) wrt z?\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0765278093969 and -0.5.\nAnswer: -0.4234721906031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 209 = -25. Let n be 6\/(-24) - m\/56. Which is the second biggest value? (a) n (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 + 3*z + 8. Let d(k) = k**3 - 9*k**2 + 20*k - 6. Let h be d(6). What is c(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 8*t**2 + 5*t - 18. Let i be y(-6). Suppose -28*h + i*h + 16 = 0. What is the least common multiple of h and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z. Suppose 24*d + 24 = 32*d. Suppose 3*q - 16 = i, 3*i - q = d*q - 28. Is z less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637012 is divided by 1594.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 5*b**2 - 83*b + 355. Determine r(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1120?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -21*w - 20*w + 3246724. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 - -305. Let n(k) = 349*k**3 - 226*k**2 - 2*k. Let j be n(1). Do t and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21992 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q - 18 - 2\/3*q**3 - 3\/2*q**2. What is p(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -44. Suppose -v + i = -0. Calculate the lowest common multiple of 3\/((-9)\/(-12)) + -1 + v and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 o when four letters picked without replacement from lwzzozizlolllilo?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 2. Let h be p(5). Suppose -4*k + 27 = -5*y, 4*y + 6 = -3*k + 3. Let j = h - k. Solve f + 3 = j*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 58. What is the hundreds digit of -3*189*(-4)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 289, 283, 273, 259, 241, 219?\n\"Answer: -2*g**2 + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110101 - -11101101101000?\nAnswer: 11110111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v = -a + 52*v + 7010, -3*v - 14017 = -2*a. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/36*243\/27. Suppose 4*q = 10 + 2. Solve -15*m**3 - 15*m**q + 22*m - 37*m + 5*m**5 + 40*m**v = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 10*x = 0. Let w be x*-3*(-1)\/(-3). Suppose w*t + 3*t = 15. What is the remainder when 9 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) 1\/4 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 255*y + 12508. Calculate b(-46).\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:27 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/553 (b) 3.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 220 = 3*o, -5*l - 2*o + 275 = o. What is the highest common factor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8115 + 3.1885. Sort 2\/9, 15\/2, -4, 3\/2, o in increasing order.\nAnswer: -4, 2\/9, 3\/2, o, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*a - 162*a + 5574 = 15387 + 68997 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 101553\/(-462)) + 11. Let p = s + -2524\/11. Let x = -16022 - -256271\/16. Calculate the common denominator of p and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/2, 0.04, 9, 1\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 482*l - 147. Let r(i) = -16*i. Determine u(r(j)).\nAnswer: 512*j**2 - 7712*j - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from dckrp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:57 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 338 - 5?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2413955572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 7824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)*t**(2\/11)*(t*t*t**(2\/5)\/t*t)**(-2\/9) assuming t is positive.\nAnswer: t**(-1048\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:19 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 420341 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:24 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 4*d)*(-d**2 + 4*d**2 - d**2) + (-1 + 0 - 1)*(1 + 1 - 3)*(4*d**2 + 2*d**2 + d**2)*(-d + 2 - 2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4476*a**3*b + 15*a**3 - 159*a**2*b - 18*a**2 + a*b + a wrt a?\nAnswer: 26856*b + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10248 is divided by 1121.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 24*x**2 + 46*x + 50. Let m be a(-22). Let n(t) = 2*t - m*t + 0*t + 3*t - 6. Calculate n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93565975 and 90763.\nAnswer: 5339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:46 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 z when three letters picked without replacement from jzzzyzjyjyyzzzjzyej.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/17 + 8*z**2\/17 - 22*z\/17 + 12\/17.\nAnswer: 2*(z - 1)**2*(z + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101100111110100 (base 2) in base 15?\nAnswer: -b6d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3289137.22 to the nearest 1000.\nAnswer: 3289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) -0.6 (c) 0.5 (d) 2\/13 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 q, and 1 g when four letters picked without replacement from qgmqgqmmmmqmqqqqqllq.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2. Let k be -21 + 10 + -3 + 1. Let i = k + 18. Let a(f) = -i*f + 8*f + f. What is b(a(m))?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 0*t = -696. Let h = t + -111. Solve -2*k + h*v = -26, -v - 2*v = -2*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 85812098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 5*x. Let n(v) = -v. Let u(d) = f(d) - 5*n(d). Let z = -2 + 4. Let a(p) = -2*p**z - p**2 + 4*p**2. Calculate u(a(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 5. Let w(u) = 3*u - 2. Give 2*j(m) + 5*w(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -3, 1, 65, -2 in decreasing order.\nAnswer: 65, 5, 1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 282, 3013, 5742, 8469, 11194, 13917, 16638?\n\"Answer: -u**2 + 2734*u - 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let g(h) = h**2 - 12*h - 96. Let n be g(-7). Let m(d) = 15*d + n*d - 3 - 75*d. What is a(m(z))?\nAnswer: 46*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1*-1*2. Suppose z - 124 = -k*z + 2*j, 5*j + 130 = 5*z. Suppose -z = -a - 0*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 10941*z**2 + 277888344*z\/5 - 251950783092\/5.\nAnswer: 3*(z - 8542)**2*(z - 1151)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6*y + 182564*k**5*y + 2002*k**2*y + 253*k**2 + 9 wrt k?\nAnswer: -120*k**3*y + 10953840*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3862 (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4160 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -32 - 4*3\/3. Let h = 88 + p. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -14\/3, -2, 5\/2, 2 in ascending order.\nAnswer: -14\/3, -2, 2\/31, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135484381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**4 - t**3 + t**2. Let k(n) = 6*n**4 - 3*n**3 - 24*n**2 - 6*n. Suppose i - 27 = 4*i. Let b(q) = i*o(q) - k(q). Factor b(g).\nAnswer: 3*g*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -348.329309 times -0.2\nAnswer: 69.6658618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-36) - (-14)\/(-18). Let m be (-12)\/10*10\/(-3). Sort 2, m, s in increasing order.\nAnswer: s, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)\/(m\/(m**(-3\/2)*m))*(m\/m**(-9\/2)*m)**(-11\/6) assuming m is positive.\nAnswer: m**(-305\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*n**2 - 92*n**2 - 55*n**2 + 1 - 30*n**2.\nAnswer: -171*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9637 less than 110324.447?\nAnswer: 110321.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -5, -2\/7, 258, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 5075*i - 2011*i.\nAnswer: 3064*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + v + 361 = 355, -3*i - 4*v = 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let a be t(-5). Let j = -100 + 501\/5. Suppose -30 = 3*z - 5*x, -3*z = -2*x + 4 + 17. What is the closest to 0.2 in z, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {h: 13, n: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 3*h**4\/8 + 5*h**3\/6 + h**2. Let z(l) = 0*l + 3*l + 2*l - 1869 + 1872. Calculate -4*t(p) + 7*z(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*l, 3*u - 7 + 14 = -5*l - 1 - 20 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 + 32*p + 110 = 0. What is p?\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 12:56 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -2219\/58, 3\/8, -0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.39 - 27.39. Let t = 29.2 + w. Let k = t - 2. What is the nearest to k in -0.4, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*p - 2*p - 218, 2*k = -2*p - 86. Let n be p\/(-14) + 18\/(-63). Find the third derivative of -m**2 - 8*m**n + 3*m**3 + 2*m**3 + 6*m**2 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101110011 (base 2) to base 7.\nAnswer: -14350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 1609 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose x = -r*x. Suppose -2*p - 41 = -5*s, 4*s - p + 4*p - 42 = x. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157513 or -157511?\nAnswer: -157511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, -397, -1188, -2639, -4948, -8313, -12932?\n\"Answer: -33*s**3 - 33*s**2 + s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 at most as big as 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 434380 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 200 - 752 = -4*f. Is f >= 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 6*d**2 + 9*d + 2. Let s be w(3). Let r = 6 + -16. Let i = 10.1 + r. What is the nearest to -1 in s, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**3 - 52164*p**2 - 52176*p + 104336 = 0.\nAnswer: -2, 1, 13042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11063279 is divided by 3619.\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(3\/4)*n*n**2)**22\/(n\/(n*n**(-2\/13))*n*n**(-1\/5)\/n*n*(n*(n**0*n)\/n)\/(n*n*n*n**(-6)*n)) assuming n is positive.\nAnswer: n**(14501\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 + 2443\/15. Let l = -5.5 - -6. Let w = 2.6 + -4.6. Which is the second smallest value? (a) u (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8646.638 grams to kilograms.\nAnswer: 8.646638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -233686, -233693, -233710, -233743, -233798, -233881, -233998, -234155?\n\"Answer: -x**3 + x**2 - 3*x - 233683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4488, -17942, -40350, -71700, -111980?\nAnswer: -161178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.5 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35656204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/60 and -19\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 + 101. Let q = 7.03 + -6.95. Is o < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3456 and -47\/512.\nAnswer: 13824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -639065?\nAnswer: 63906a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**4\/6 - b**3\/2 - 103*b**2. Give u(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2179 + -2179. Let t(w) be the third derivative of 0 + 0*w + 3*w**2 + f*w**4 + 0*w**5 - 1\/3*w**3 + 1\/120*w**6. Give t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(-1\/4)*q*q)\/q)**(-6\/7)*q**(-1\/3)*q\/(q*q\/(q**(-1\/2)\/q)))**(-3) assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 23 + 1 = 0. Suppose 0 = -4*x - 2*i + 10, 3*i - 58 = 2*x - 59. Suppose -c*t + x*t = -68400000. Round t to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 6*i**2 - 3*i - 9. Let u(a) = -3*a - 4. Let d(x) = -x - 1. Let q(n) = -11*d(n) + 4*u(n). Let k be q(1). What is o(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**3 + 1474*v**2 - 30*v - 165?\nAnswer: 36*v + 2948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59\/8 or 7?\nAnswer: 59\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 6803, 7.9, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -510 - -519. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1146 + -2439. Let h = 5 - 1. Does 10 divide h\/(-22) - n\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4684482 and 33\/413.\nAnswer: 32791374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 3*q**5\/5 - 39*q**4\/2 - q**3\/3 - 222*q**2 - 2290. What is the third derivative of a(w) wrt w?\nAnswer: 72*w - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -176499 less than -12531333\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-43)\/(-4))\/((-5)\/(-20)). Let y = 56 + q. Let p be 8 - (0 + 2)\/(-2). Calculate the highest common divisor of y and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 88 (b) 8\/7 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 5*t - 4*q, 3*q + 123 = 117. Let g be ((-4)\/6)\/((-8)\/132). Suppose 0 = -3*z + g + 7. Calculate the highest common divisor of t and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -6*m + m, -13*z + 2*m + 23 + 202 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/(10\/(-240)). Let a be (x\/9)\/(-4*2\/(-228)). Suppose 24*o = a*o - 71500. What is o rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.74 rounded to 1 decimal place?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6*n - 5*n = 91, 0 = -4*n + 12. Calculate the least common multiple of 2 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7429*z + 111471. Give i(15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5626 in 1, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*f = -196*f + 103 + 1157 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 6*o - 5. Let t be d(-5). Solve -3*j + 2*j = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + -1 + -4 + (sqrt(18)\/sqrt(6) + -2)**2.\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*2)\/sqrt(7) + (sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209) + (1*sqrt(209) - sqrt(209) - sqrt(209))))\/sqrt(11))**2 + -3 + sqrt(171) + 2.\nAnswer: 3*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 23*p**2 + 2. Let y be u(-23). Suppose 0*x + 5*x = -y*j + 71, 4*x - 5*j = 70. Let i(t) = 5*t - 25. What is the units digit of i(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -1\/6, -12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-106)\/(-22)) + -1 + 5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 1, -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 + 20 = 5*p, 15 = 3*z - 5*p. Let m = -3 - -6. Suppose m*q = -22 + 97. What is the highest common divisor of q and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxxqxxxxxqxxxxxxx. Give prob of sequence qq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2, 2, 5\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2132*m**2. Let g(r) = 2127*r**2. Determine 3*g(c) - 4*p(c).\nAnswer: -2147*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-442)\/1190) + 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-30)\/9))\/((-2)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y**2 - 8*y**2 + 18*y**2. Suppose -v + 4 = -3. Let z(a) = -v + 7 + 3*a**2. Give q(z(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:53 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -19*i**2. Let f(q) be the third derivative of -5*q**4\/24 + 57*q**2. Calculate f(x(h)).\nAnswer: 95*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 1528 - 1457)*(17 - 6*x - 17).\nAnswer: 17460*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p + 1. Let i(g) = -22*g**2 + 5*g - g**3 - 1 - 26*g**2 - 4*g + 46*g**2. What is -i(z) - 2*y(z)?\nAnswer: z**3 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1979070 by 65969.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g + 18. Give m(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*u + 173 + 86 = -173. Solve -27*a + 30*a = 5*d - 17, d = u*a + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**26))*q**5)\/(q*q\/(q\/q**(-3\/5))*q)**(-28) assuming q is positive.\nAnswer: q**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3882 is divided by 472?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -33\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 38*j + 928. What are the prime factors of (-88)\/4*j\/8?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9149 and 275777.\nAnswer: 1930439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6680+-1345.71456\nAnswer: 5334.28544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/94 and -99\/2.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237 + -161. Let i = q + -60. Calculate the remainder when 55 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v = -43*v - 134. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v - 350. Let d = -49 - v. Suppose 7 = 3*z - 2*z. What is the highest common factor of d and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 16*j**2 - 12*j - 9. Let y be l(-5). Calculate the greatest common factor of 22 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.9 - 12.2. What is the biggest value in -0.4, 0.1, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1557003 = -1557011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.685696495 - 0.185632195. Let u = p + -9.5. What is u rounded to six decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1)**2*6 + -1.\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 607*d - 24916. Determine g(41).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14366634?\nAnswer: 2, 3, 563, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*p**3*t - 14*p**3 + 85*p**2*t + 7*p*t + p - 44*t + 10 wrt p.\nAnswer: -54*p*t - 84*p + 170*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4810 >= -5275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7529630 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 759.22542 microseconds?\nAnswer: 0.00000021089595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 127509, 254981, 382453, 509925?\n\"Answer: 127472*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35900 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/6040 and -97\/6040?\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 22. Let q(j) = j + 45. Let x(h) = -6*q(h) + 13*t(h). Let f be x(4). List the prime factors of -4 - (-85)\/20 - 246\/f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*r + 14, -4*r - 8 + 40 = 4*n. Suppose -6*t = -n*t + 99. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/15)\/((-7)\/70). Let l be ((-43)\/(-4) + -3)*c - 2. Let n = l + -28. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctretrttrcjtc. Give prob of picking 1 r and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/73180 and -73\/35124.\nAnswer: 642593580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 38*i - 139. Let r be f(5). Let b be (r - 0)\/((-1)\/(-10)). Solve -6*d = -b*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96 + 66*v - 4*v**2 - 10*v**2 - 10*v**2 + 20*v**2 + 26*v.\nAnswer: -4*(v - 24)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 20*q + 7. Let b be k(-9). Suppose 0 = -6*t + 766 - b. Suppose 64*n = 66*n - t. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77593 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2892.89784 + -2893. Let c = -0.115 - r. Round c to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0157, 36, 46\/7 in decreasing order.\nAnswer: 36, 46\/7, -0.0157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 85\/(-50) + ((-174)\/(-60) - 3). What is the biggest value in -0.37, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p**(-5))**(-48)*(p**(2\/11)\/p*p\/p**(-4))\/(p**6*p**(2\/3)*p*p*p) assuming p is positive.\nAnswer: p**(-8101\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12)*16\/30. What is the nearest to -4 in 0, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 91*i**2 + 299*i - 1199. What are the prime factors of c(4)?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8620994 + 0?\nAnswer: 8620994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 - 29 = -10*z. Let d be 2*59\/z + (-84)\/56. Let a be (1\/38)\/((-2)\/4). What is the nearest to 1 in 1, d, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502642211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + -4)\/((-1)\/2). Let s = h + -12. Let c(w) = w - 2. What is the remainder when c(s) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*x - 72, -5*x - 47 = -5*m + 73. What is the remainder when 1364 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.4494512 months?\nAnswer: 0.01207876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12772 bigger than 12771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -i + 3*k - 9 - 3, 0 = 9*i - 8*i - 5*k - 72 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1002, -6, 1, 0, -4.\nAnswer: -6, -4, 0, 1, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.67 - -6.67. What is the nearest to h in 3, 4, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -3*2\/2. Calculate the smallest common multiple of -2 - m*(1 + -2) and 94\/8 + 3\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3893 by -6.\nAnswer: 3893\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*s**2 - 47*s**2 - 146*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + 5*(-1 + sqrt(180)) + sqrt(180)) - sqrt(180))**2.\nAnswer: -420*sqrt(5) + 8845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*u - 300 = 0, -4*u - 254 = -3*d - 24. Suppose 3 = -b - 17. Let r be ((-2)\/(-4))\/(-1)*b. What is the greatest common divisor of d and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 343 = -39*o + 7*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 34*u**3 - 8*u**2 - 6*u - 5. Let j be t(-3). Let m = 1834 + j. List the prime factors of m.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*w - 3*w - 28 = 0, -9 = -5*j + 4*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 8. Let z(h) = -h**3 + 7*h**2 + 9*h - 5. Let b be z(8). Let u be (-2)\/b + 87\/9. What are the prime factors of k(u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u**2 - 4*u + 10. Let y be o(4). Suppose -z + 55 = -2*v, 0 = 4*z + z - v - y. Let g = z - -62. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23567 * -8.\nAnswer: -188536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1898078495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -9 + (-3 - -8) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*y + 18, -4*y + 5*d - 12 - 18 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28532 is divided by 9500.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (157440\/1476)\/(60\/9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-1344)\/(-768))\/((3 + -5)*(-4)\/(-32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -117096587, -234193170, -351289743, -468386300, -585482835, -702579342, -819675815?\n\"Answer: n**3 - n**2 - 117096587*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -3 (c) -808966\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22559137247 plus 0.24?\nAnswer: -22559137246.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5335 - 5335.2. Let q = 22.33 + -22. What is the smallest value in q, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 110*t - 15 = 105*t, -3*t + 9 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, d: 1, r: 2, q: 3, b: 8}. What is prob of sequence db?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 572*b + 1746. Let z be a(-3). Factor -190\/9*m + 2\/9*m**4 - 26\/9*m**z + 38\/3*m**2 + 100\/9.\nAnswer: 2*(m - 5)**2*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51529*i - 51527*i - 3*v - 1, 13 = 4*i + 5*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -38. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbmdbbbbnmqdnmmbn. Give prob of picking 1 m and 2 n.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 606 and -12.1.\nAnswer: -7332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/2578 + 9011\/30936. Let r(c) be the third derivative of 0*c**3 + 0 + 3*c**2 + 0*c - p*c**4. Let z(d) = -d. What is r(z(b))?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5358371 is divided by 1785329?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 equal to 2\/3319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**4 + 14*a**3 - 822*a + 2.\nAnswer: 84*a**2 + 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4788?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(8) - (-2*sqrt(448) - sqrt(7)) - (sqrt(35)\/sqrt(5) + 3)*-6.\nAnswer: 18 + 47*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 97 - (92 + -103 + 5 + (0 - -18))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 + -2)*(-8)\/3 and (-4)\/3*2*(-69)\/46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121.3*-4.\nAnswer: -485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6273540 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, c: 10}. Give prob of picking 2 c.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - c**2 + c**2 - c**2. Let n(j) = 2*j + 6. Let z(k) = -k + 6. Let g be z(12). Let w be n(g). Determine h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.01 + 61. Put 5, 2, u in increasing order.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 24620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 - o**2 - o**2)*(-430*o - 574 + 571 + 429*o + 13*o**2).\nAnswer: -91*o**4 + 7*o**3 + 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 - 5*t. Suppose 0*x = -7*x + 28. Suppose x*n - 4 = 0, -3*z + 3 - 14 = n. Let u be b(z). Put 0, -2, u in increasing order.\nAnswer: -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13965219*n + 15593420?\nAnswer: 13965219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10299*w - 10278*w - 126164031. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -23?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1 - 6 + 5 + b. Let t(m) = -2*m + 10*m - 4*m. What is w(t(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.91 - 6. Let u = 81\/4 + -20. Which is the second smallest value? (a) 2 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**0))**(2\/29)\/(z**(2\/5))**(-6\/23))\/(z**(-8)\/z**(-1\/5))**(8\/7) assuming z is positive.\nAnswer: z**(1452\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 80 = -6*u. Let v(y) = y**2 - 11*y + 7. Determine v(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:39 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/42126314 and -67\/36.\nAnswer: 758273652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d**2 + 99*d - 37. Determine m(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010000001111111 (base 2) to base 13.\nAnswer: -cbb09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 21*g**2 + 134*g - 6. Let i be s(11). Solve f - 11 = 25*v - 29*v, -2*v = 4*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*d**2 - 3*d**2 - 2*d**2 in the form o*d**2 + j + r*d and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 4*w - 9*w**2 + 11*w**2 - 2*w as b*w**2 + k + u*w and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2354*x**3 + 15*x - 67 wrt x?\nAnswer: 14124*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 3. Let h be (-3 + 4)\/((-3)\/(-15)). Let x(k) = 3*k**2 - k - 6. Let g(o) = h*r(o) + 2*x(o). Does 18 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:04 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let w be v(0). Solve w = q - 0*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose 2*g - g = a. Solve 3*w = -g*s + 5, 4*s = -0*w + w + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-12)\/(-11 + -13 + 21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16a418 (base 11) to base 12\nAnswer: 108046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.7 - -30. Let v = q + 1.3. Put v, 0.2, -0.1 in ascending order.\nAnswer: v, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1621003 (base 7) to base 16\nAnswer: 36997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-74)\/(-481) + 21\/((-1365)\/(-250))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:59 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6)*(-144)\/(-24))\/(9\/78)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74214 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2150854\/35145 + 4\/7029. Factor -4\/5*a**3 - k*a - 81\/5 + 71\/5*a**2.\nAnswer: -(a - 9)**2*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -377*s + 120*s + 1534*s to x*s + w and give x.\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k + 3. Let g be 20\/25*5*k. Let b = 1 - 0.8. What is the nearest to 0.1 in 2, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9403\/18 + 1573\/3. What is the common denominator of 19\/1964 and k?\nAnswer: 17676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 101*w - 57)*(20 + 7 + 9)*(-w**4 + w**4 - w**4).\nAnswer: 3636*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 980\/5421 - 18\/139. Which is the third smallest value? (a) 7 (b) -5 (c) f (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -311 - -565. Suppose 6*k = 7*k - y. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z**2 + 151*z**2 - 43*z**2 to the form b + c*z + m*z**2 and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121770 (base 12) to base 11.\nAnswer: 190257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 10 = 4*l, 6 - 8 = r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 31111 = -2*t, 5*v - 8*t + 41575 = 10506. Sort v, -1, -4 in increasing order.\nAnswer: v, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) + 26\/(-36). Let j = -2691.2 + 2691. What is the fourth smallest value in -3, j, -5, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, 4, 7\/27, -3\/11?\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 13*t**2 + 4*t + 5. Let d(p) = -p**3 - 2*p**2 - p. Let c(z) = 3*d(z) - w(z). Let n(a) = -a**3 + a**2 - a - 1. What is -2*c(h) + 14*n(h)?\nAnswer: -2*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41202 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5610*p - 3657*p + 25389 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c01b + -6?\nAnswer: c015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/j**5*j*j\/j**(1\/4)*j**(-7))**(-42) assuming j is positive.\nAnswer: j**441","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -66*h. Let u(r) = -130*r + 783. Give z(u(c)).\nAnswer: 8580*c - 51678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22667857 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20113 + 20113 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5728400 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 76*t**2 + 2*t - 173. Give n(76).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320623.6s to minutes.\nAnswer: 38677.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 0*a**3 + 2*a**3 + 57*a - a**2 - 2*a**4 + 31 + 14 - 54 as n*a + u*a**2 + g*a**4 + c + d*a**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.211*-74682.\nAnswer: 15757.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-228)\/(-209) - 1713\/(-33). Solve 0 = -48*c + h*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*k + 2*h = 102*k + 66, 0 = 4*k + 21*h - 25*h - 68 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 194, 523, 1010, 1655?\nAnswer: 2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 16829*w**2 + 16870*w**2 - 9 + 3*w**3 - 18*w**3 in the form b + d*w**3 + n*w**2 + y*w and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(5) - (0 + sqrt(5))) + (sqrt(720) + -1)**2.\nAnswer: -24*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6331.68 litres?\nAnswer: 6331680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 132, 203, 276, 351?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose -2*h + 3*j = 3*h - 75, n*h + 4*j - 16 = 0. Factor -h*q**2 - 3*q**2 - 12 - 27*q - 3*q**2 - 3*q**3.\nAnswer: -3*(q + 1)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(((-407)\/44 - -9)*2). Solve -a*y - 268 = 27*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2*c**3 + 2*c**3 + 2)*(4 - 2 - 3)*(30*c - 217*c - 293*c).\nAnswer: 960*c**4 + 960*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 7*u. Let i = -15 - -39. Let f = i + -16. What are the prime factors of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + d = 16, 15*s - 11*s - 8 = d. Put -1, -5, 226, s in decreasing order.\nAnswer: 226, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50428091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 99?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -518 - -850. Suppose -j = -6 + 3. Suppose 5*i + 176 + 275 = 4*g, -j*g = -5*i - d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(1 - 20\/(-5)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 149*q + 2 - 2*q**3 - 318*q + 157*q. Let i(o) = -o. Give -12*i(x) + y(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 - 5*g**2 - 4*g**2)*(34 + 113 + 745) in the form a*g + b + s*g**2 and give s.\nAnswer: -9812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165, 1292, 1407, 1510?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142*j*n**2 + 4*j*n + 595*j + 43*n**2 - 1067 wrt j.\nAnswer: 142*n**2 + 4*n + 595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 11*a + 17. Is 15 a factor of l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45840, 183375, 412588, 733467, 1146000, 1650175?\n\"Answer: -2*i**3 + 45851*i**2 - 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, g: 2}. Give prob of sequence gg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74016.0855ns in weeks?\nAnswer: 0.00000000012238109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 79 = -5*t, 2*n = -3*t + 6*t - 53. Suppose 11*j - 8 = 7*j. Suppose j*w - 54 = -w. What is the lowest common multiple of t and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p + 99 = 19*p - 5301. What is the remainder when 5687 is divided by p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/3))\/s*s)**41*(((s*s**(2\/11))\/s)\/s)\/((s\/(s**(2\/9)\/s))\/s))\/(((s*s\/s**(1\/10))\/s**(-1))\/(s**(-3)\/(s**(-5)*s))) assuming s is positive.\nAnswer: s**(10069\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 24. Calculate n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:21 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 7*q - 8. Let k(y) = 10*y - 217 - 2*y**2 + 205 + 6*y**2 - y**2. Calculate 7*c(o) - 5*k(o).\nAnswer: -o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-56)\/(-40)*(-4 - 1). Let r(o) = o**3 - 5*o**2 - 11*o - 11. Calculate the lowest common multiple of (-15)\/(-4) + (-2)\/(-8) and r(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let x be 0 + 12\/2 - 1. Suppose 0 = -3*r - 3*c - 3, x*c - s = -2*r + 4*c. Solve -2*w - t - 4 = t, 3*w + r*t + 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 391 - 722. Let o = l - -3644\/11. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 6 = -2*j + 1, j = 3*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6493896 litres to millilitres.\nAnswer: 649.3896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9805 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g. Let r(n) = 14*n**2 + 5*n + 2. Let u(j) be the first derivative of j**3\/3 - j**2\/2 + 3. Let m(b) = r(b) + 5*u(b). What is m(x(d))?\nAnswer: 171*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 7*h**2 - 3*h - 6. Let x be a(8). Let m = x - -142. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -49 + 10*o - 4*o**2 + 3*o**2 + 31. Give i(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -104 - 294. Let w = -129 + x. Suppose 0 = 8*o - 6*o - 36. Calculate the remainder when w is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 321 and 7?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 9*d + 28. Let s(x) = x**2 + 5*x + 14. Give 6*q(n) - 11*s(n).\nAnswer: n**2 - n + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006078687 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 140747774, 281495554, 422243334, 562991114?\n\"Answer: 140747780*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5842.14 litres?\nAnswer: 5842140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n**(2\/9)*n*n)\/n)**14*n*(n**(-6)\/n)\/n*n**7)\/((n*n\/(n\/((n*n**(-2)*n)\/n))*n)**(-3\/11)*(((n*n**(-1\/4)*n)\/n)\/n)**(-43)) assuming n is positive.\nAnswer: n**(13715\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 491 + 169 = 0. What is the lowest common multiple of 176 and f?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = 22. Suppose w*p = p + 85. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y. Let i = 6 - 9. Let s(x) = 15*x - 4. Let f(v) = -14*v + 3. Let c(m) = i*s(m) - 4*f(m). What is p(c(k))?\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134.6 - -135.9. What is the nearest to 1\/2 in -2\/3, -5\/2, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**5 - 63*n**4\/2 + 15*n**3\/2 = 0 for n.\nAnswer: 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -0.02, -0.12 in decreasing order.\nAnswer: 1, 0.5, -0.02, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (36\/(-16) - 1). Suppose -2*d - 5*r = -6*d + 85, 2*d = -b*r + 59. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 34*p + 68. Let o be a(2). Let t(l) = l. Let u be t(0). Let r = 4 + u. Solve -h - 2 = -3*w - 0, o*w - r*h = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181336149 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 plus 148?\nAnswer: 148.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from yhr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14863096 is divided by 2498.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 292, 411, 498, 547, 552?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 y when four letters picked without replacement from {y: 5, j: 1, f: 7, i: 2, v: 3}?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10980, -6, 5, 0, 2, 3 in descending order.\nAnswer: 5, 3, 2, 0, -6, -10980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 + 160.8. Let n = -17 - r. Let a = -3.1 + 3.5. Put a, n, 1, -4 in ascending order.\nAnswer: -4, n, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 10 = 0. What are the prime factors of 8 + z\/((-15)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 17. Let k = 104 - p. Calculate the greatest common factor of 20 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a millennium?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -36. Let p = 12.79 - 12.5. Let u = -0.49 + p. What is the second smallest value in j, u, -1\/3, -0.02?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 21*a - 34. Let w be z(15). What are the prime factors of (-246)\/(-8) + 14\/w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 38 + 22. Suppose p = -t + 6, -t = 4*t - l. Suppose -o + p*o = 11. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -69. What is the third derivative of 30*w**2 + 2*w**2 - v*w + 6*w - 42*w**4 wrt w?\nAnswer: -1008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 435224.7 micrograms?\nAnswer: 0.0004352247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.974203 rounded to one decimal place?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from riyyh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479819001.\nAnswer: 3, 159939667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u - 4*u + 5*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26328157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439179*m - 190 = -439160*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.63? (a) -8 (b) -2 (c) -1\/5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 1\/6*y**4 - 1\/3*y**3 - 1\/30*y**5 + 0 - 1\/2*y**2 - 2*y. Let j(d) be the first derivative of b(d). Factor j(r).\nAnswer: -2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-240))\/(414\/6624).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**10\/90720 - f**8\/20160 - 2*f**4\/3 + 8*f. Let u(s) be the third derivative of a(s). Find r such that u(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrve when four letters picked without replacement from evreteereerrrverre?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 20*k - 8. Let u be j(-19). Solve -2*q - u = -19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.02 (c) 4\/5 (d) 2\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l + 60 = 0. Let n be (l\/15 + 3)*-3. Let a(j) = -j**2 - 7*j - 2. Determine a(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/42 and -115\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3 + -2 - 3). Let d be (-1 + s)*(-166 - 4). Suppose -5*v = -5*h + d, 2*h - 2*v = -3*h + 182. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2018, 5 in decreasing order.\nAnswer: 2018, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-230)\/25 - -10) + 711\/5. Calculate the greatest common divisor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-26)*k*k*(k*k\/k**(7\/3)*k)\/k*k)**46 assuming k is positive.\nAnswer: k**(-3220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121 - -114) + (8 + 0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2980 and 1042.\nAnswer: 1552580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34056\/(-688)*(88\/(-297))\/(4\/6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -1.5. Which is the nearest to -1\/4? (a) l (b) -1\/10 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2628593745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -383\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-89286)\/(-18) + 1)*(-33)\/(-22).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 17*a + 48300. Let m = a + 2891. What are the prime factors of m?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/2 (c) -5.216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/5 + 215072*a**3\/5 - 5593042*a**2\/5 + 19576152*a\/5 - 14198184\/5 = 0 for a.\nAnswer: -107562, 1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, -3, -4 in decreasing order.\nAnswer: 28, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8512 or -607?\nAnswer: 8512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8781914, 17563924, 26345946, 35127986, 43910050, 52692144, 61474274?\n\"Answer: u**3 + 8782003*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*r = 31, 2*k + 4*r + 6 = -0. Suppose 0 = k*i + 613 - 1773. Suppose 5*h = -5*g + 290, i = 4*h - 0*h - g. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:26 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 6*v**2 + 5*v - 1. Let r = -16 - -21. Let o be p(r). Let h be 14\/6 - (-1 - -2). Which is the closest to o? (a) -5 (b) 5\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - 90. Let v = -200.998968 - m. Let h = -0.001 + v. Round h to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**8\/3840 + p**7\/5040 - 7*p**6\/2880 - p**5\/240 - p**4\/4 + p. Let q(z) be the third derivative of o(z). Factor q(w).\nAnswer: (w - 1)*(w + 1)*(7*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 4 + 3.\nAnswer: 3*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479491485 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 7*x - x + 0*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 5873 + 0*o**2 + 34*o - 5865. What is the hundreds digit of c(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 (base 11) in base 5?\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7965434 to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/3, 1\/40, 15, -5, 5?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 20*m + 146 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -481, -121.\nAnswer: -481, -121, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 107. What is i(30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/(-9) + (-4 - -7). Let q = -5\/9 + b. Let r = 52.7 - 53. What is the nearest to -5 in r, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*i + 32, -5470*m + 5474*m - 5*i - 8 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 178\/11342955 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87231615 and 6984?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20191943170 to the nearest one million.\nAnswer: -20192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 2, 16, 4, -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/39, 5, -2, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.3 - 7.3. Put -0.4, 2, 1\/4, i in descending order.\nAnswer: 2, 1\/4, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -0.038, 1.3, -3.\nAnswer: -3, -0.3, -0.1, -0.038, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 82344 divided by 8\nAnswer: 10293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -12, 966 = 3*a + 3*k - k. Suppose -620 - a = -2*o. What are the prime factors of o?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-50\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15503*u**2*v + 366718092*u**2 + 4217*v wrt v?\nAnswer: 15503*u**2 + 4217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d = 95*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 35 = 5*f, -3 = -4*g + 4*f + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(((g\/(g*g**(-2\/7))*g)\/g)\/g))\/g)\/(g\/((g*(g**(-2\/5)\/g)\/g)\/g))*(g\/(g**3\/g))**43)**12 assuming g is positive.\nAnswer: g**(-19188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5121135 (base 6) to base 7.\nAnswer: 2034101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 39, 36, 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137992)\/(-1101)*(-1)\/(-10)*60\/16?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024335257 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 1\/2*p**2 + 4\/3*p**3 + 0*p + 1. List the prime factors of m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 - 2592*a + 2594 = 0 for a.\nAnswer: -1297, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = 4*h. Is 6\/(-8) - 1055\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + -4*sqrt(6480) + (-3 + sqrt(6480))*-3)**2.\nAnswer: 317520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1172288 rounded to 3 dps?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 7*g + 7. Let r(a) = -a - 8. Let t be r(-6). Let y = t - -18. Let l(d) = 6*d**2 + 22*d + 22. Calculate y*z(i) - 5*l(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -56. Let g = -35 + n. Calculate the common denominator of (-3)\/(-2) + 292\/g and 33\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10766734868 + 6144.\nAnswer: 6144.10766734868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -32 - 408. Let v = -63 - u. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (480\/1120*-1*7)\/(3\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t - 11. Determine q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, a: 1, s: 3, k: 1, n: 1}. What is prob of picking 1 v and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 8. Let x = 163 + -164. What is the second smallest value in 0.2, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001462237 to seven dps.\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4*i - 36 = 0. Let t be (-2)\/i - (-40)\/(-18). Let g = t - -4. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16428 + 328647\/20. What is the common denominator of q and 5 - (-628)\/200 - 54\/6?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -16. Suppose 0 = -3*p - 2*z - 1, x*z - 3 = -13. Suppose 4*f = -u - 0*f + 4, 0 = u - p*f - 25. Calculate the remainder when 29 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-27) - 1*28\/(-63). Which is the closest to u? (a) 20 (b) -2\/3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*y = -10, -n + 3*y + 0 = 4. Suppose 0*m + 4*m - 3*v - 18 = 0, 3*v + 12 = 3*m. Let o(c) = -7 + m*c**2 + 2*c**2 - 4*c - 7*c**2. What is o(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36110077 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.309 + -48832.\nAnswer: -48832.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197831 + -122137. Let o = g + -19613. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7259 and 4065711?\nAnswer: 483819609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 3503350.\nAnswer: 700670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/8 + 15663*q**2\/8 + 306060*q + 12146400 = 0. What is q?\nAnswer: -5061, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*s = -130, -2*x + 2*s + 58 = -2*s. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-105) + 2 + -3 + 126\/(-10) + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2484674*3.\nAnswer: 7454022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 7*t - 5. Suppose 8 = 3*r + 5*z - 6, -4*r + 26 = 3*z. Let b be m(r). Let w = 10 - 7. Solve w*c - b = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -1)*(-2)\/(-1). Let c(v) = -2*v**2 + 7*v + 8. Let b be c(4). Sort q, 0, b, -1 in ascending order.\nAnswer: q, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 2*k + 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 1974 = -1190. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/42*(-63)\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*m**2 + 122 - 107 - 7*m**2 with respect to m.\nAnswer: -40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2854)\/(-38) + (-4)\/38. Let b = 108 - a. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 50*i - 8*i. Let u(h) = -2*h**2. What is c(u(f))?\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 51, 95, 167, 273, 419, 611, 855?\n\"Answer: i**3 + 5*i**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.14 (b) 0.04 (c) 0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 5*s + 9. Let n be i(7). Let x = -11 - n. What is the units digit of (-26)\/x + 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -g + 22, -3*a + 0 + 12 = 0. List the prime factors of (1\/g)\/((-2)\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let c be 0 + 2*-2*k. Let q be (-1)\/(-2) + 9\/6. Solve -c*j - 2 = -q*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4989418467?\nAnswer: 3, 11, 4621, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -170362 (base 9) in base 3?\nAnswer: -12100102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 11. Let n be u(-21). Suppose 0 = -38*y + 40*y - n. What is the units digit of -26*((y - 3) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61314 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a**2 + 2*a + (-3 + 4 + 0)*(-12815*a + 252*a**2 + 12815*a) to the form o + d*a + t*a**2 and give t.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 16. Let l be p(11). Suppose 5*s + 5*r + 25 = 0, 4*s + s - 25 = l*r. Let s*v + 0*v**2 + 0 - 1\/3*v**4 + 1\/3*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 3, o: 5, r: 9}. Give prob of picking 1 r and 3 x.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/144)\/(832\/(-7072)*(-272)\/(-16)).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13425962 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:15 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.220768 centuries?\nAnswer: 8664.9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:41 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0.058084.\nAnswer: -5.941916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1266, -1262, -1258, -1254, -1250?\n\"Answer: 4*d - 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.5 (c) -16 (d) -5.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3003, -6007, -9011, -12015?\n\"Answer: -3004*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 = o. Let t be 0 - (1*-3)\/o. Let p(k) = k**3 - 2*k**2 + 1. Let n be p(t). Solve j - 3*j - 6 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 233\/5. Which is the smallest value? (a) -0.2 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2229 - -2429.1. Let j = 191 - s. Round j to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 19*p + 19. Let r be t(20). Suppose -11 + 1 = 2*u. Suppose -7*x + 4*j = -5*x, -5*x - 12 = -4*j. Sort x, r, 1, u.\nAnswer: u, x, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:59 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26574 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -905*o**2 + 630. Let c(j) = 1809*j**2 - 1258. Let l(m) = 4*c(m) + 7*q(m). What is the derivative of l(r) wrt r?\nAnswer: 1802*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p + 2*c - 4, -2*p - 16 = -4*c. Suppose 5 = p*w - 5. Sort 6, w, 4 in increasing order.\nAnswer: 4, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 - -5) - (5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 3*p + 8. Let s be y(-4). Let o = 353 + s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*p + 10, -2*c + 5*p + 12 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - -100100010?\nAnswer: 11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**3 + 19*m**2 + 51*m. Calculate u(-2).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkdk when four letters picked without replacement from dkhkddhhkkdkhhkk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2 + 8, -4*o = -71*r + o - 319 - 148 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8494, -8486, -8478?\n\"Answer: 8*k - 8502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1261496 (base 11) to base 14.\nAnswer: -40b9d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j + 3. Let w be r(3). Suppose -k - 4*k = -w. Solve v - 2 = -u - k*u, -2*v - 1 = 3*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 41027494291286.\nAnswer: 41027494291286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 15*o**2 - 877*o + 15268. Calculate l(19).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 17. Suppose 0 = 5*k - 4*k - 4*m - i, -k - m + 2 = 0. Let n be -4 + 3 - k*-11. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859*h + 832*h = -3915. What is the remainder when 511 is divided by h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 820 - 1355. What are the prime factors of b?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.07425 or -22?\nAnswer: -0.07425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/((-3)\/(-24)*-2). Calculate the common denominator of 18*-1*(-16)\/6 and (d\/126*-6)\/((-16)\/1116).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 81\/(-6)*10\/(-15). Let o be (3\/s)\/((-1)\/(-12)). Suppose o*n = t + 3151, -4*t - 3925 = -3*n - 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 40 + 10. Suppose -3*h + 160 = a*f, f - 6*f = -2*h + 65. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxbjwxwwxbbbk. What is prob of picking 1 w and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + 4?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 17. Solve -5*m + t + 8 = s, -45 = 4*m - 5*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42839390 a multiple of 2101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by -12\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4 - 2\/(-2). Solve 2*c = 2*s - 6, -2*c - m + 2 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*m - 4\/5*m**2 + 4\/5*m**3 + 4\/5*m**4.\nAnswer: 4*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*p + 6*p, p + 5*z = -12. Suppose -5*f + p*f - 12 = -2*h, -5*f = 0. Calculate the remainder when 21 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/360 + t**4\/3 - 2*t. Let d(k) be the third derivative of p(k). Let y(f) = 7*f**2. Calculate y(d(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 5*r)*(-2 + 1 - 1)*(688*r**3 - 39*r**3 - 92*r**3).\nAnswer: -2228*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 34*k**3 + 0*k**2 - 102*k**2 + 102*k**2 - 2.\nAnswer: -34*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**2 + 86*a**2 - a + 32*a**2 + 126*a**3 + 104*a**2.\nAnswer: 126*a**3 + 176*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -512957 - -302957. Round j to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:01 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -9 - 1\/6*j**4 + 0*j**3 - 7\/2*j**2 - 3*j - 14\/5*j**5. What is the third derivative of y(q) wrt q?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/7 - 22*g**4\/7 + 82*g**3\/7 - 122*g**2\/7 + 60*g\/7 = 0. What is g?\nAnswer: 0, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 7*y**2\/2 + 15*y + 1. Let a(s) = 20*s + 45. Let v(c) = 6*a(c) - 17*n(c). Let p be v(-10). Sort p, 0, -3 in ascending order.\nAnswer: -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 1079\/91 - -2*(-25)\/154.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2. Let y be a(0). Let r be -3 - ((y - -1) + (8 - -5)). Let q = 22 + r. What is the second biggest value in q, -5, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + t = 106, -4*t + 49 - 175 = -5*j. What is the highest common divisor of j and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 3. Let w be 7 - (2 - (-2 - -2)). Calculate the lowest common multiple of m(w) and (-50)\/4*12\/(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.1 (c) 69 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - (sqrt(1728) + (sqrt(1728)*2 - sqrt(1728))))\/(-2*sqrt(900))*-4)**2*2.\nAnswer: 384\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2. Suppose o*h - 5 = -3*p, -h - 17 = -0*h - 3*p. Put -3, h, 2, -1 in decreasing order.\nAnswer: 2, -1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**3 - 7*h**2 - 9*h - 5. Let d(i) = 5*i**3 + 4*i**2 + 5*i + 3. Let o(v) = -v**2 - 19*v - 55. Let n be o(-4). Calculate n*d(c) + 3*p(c).\nAnswer: -2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 1 - 8*t**4 + 9*t**4 - 1 - t**3 - 2*t**2 to a + o*t**3 + i*t**4 + l*t**2 + x*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:39 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 28*a**2 + 57*a + 101. What is z(30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 134, 89, 26, -61, -178, -331?\n\"Answer: -g**3 - 26*g + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-525) + (-62)\/112 - (-75)\/472.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (-24 - -9) + 13 + 0 + -1\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298994065 to the nearest integer?\nAnswer: 17291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*p**3 + 7*p**3 + 36*p**3 + (2*p**2 + 5*p**2 - 4*p**2)*(3*p + p - 7*p).\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3827837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n, 4*j - 2*n - 1153610 = -250540. Suppose -29*w + j = -19*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2307.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009823 rounded to 7 decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843.\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 5}. What is prob of sequence uxxu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.12. Let b = 3.02 + d. Let h = -2 + b. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5003 = f - d, -d = -f - 1257. Let x be 296\/370 + f\/(-10). Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924.8121 litres in millilitres?\nAnswer: 924812.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 4*b - 3*b = -15*r - 12*r - b - 110, 3*b - 25 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 4*g**2 + g - 3. Suppose 4*v = 5*v - 2*y - 7, -5*v - 30 = 3*y. Let w be d(v). Solve 3*q + h = -4 - 6, -5 = w*q + 2*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184998*g**5 + 14*g**4 - 6072030*g.\nAnswer: -3699960*g**3 + 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/231*((-21)\/(-24))\/(54\/(-108))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35a + 701?\nAnswer: a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (32\/(-32))\/(1\/(-797)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/((-1)\/4). Suppose 2*y - q*p - 30 = -3*y, 4*y + 3*p = 1. Let t(h) = 0*h + y*h - 3*h. Let r(i) = 3*i**2. Calculate t(r(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*o - 31808 = -74243 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 - 2 - (-1 - 0 - (91 + -82))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 - -1961\/9. What is the second smallest value in -0.53, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*p - 64*p - 67*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 83, 122, 159, 194?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15559050 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from zdnqjttqqtn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 26. Is 26 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*w + 6 = 4*p - 1005*w, 4*p = 9*w - 8*w - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.211 + -0.811. What is the smallest value in 1\/3, -1, -6\/25, l, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/956201 - -337539191\/227575838. Let g = y - -2\/119. Find l such that g*l - 33\/2*l**2 + 117\/2*l**3 + 30*l**5 + 0 - 147\/2*l**4 = 0.\nAnswer: 0, 1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/40 - 51*q**5\/20 - 435*q**4\/8 - 1025*q**3\/2 - 2*q**2 - 529*q. Let m(n) = 0. Calculate n.\nAnswer: -41, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.1 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 38 = 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -2, 25\/11, -8?\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10116 - -10189. What is the highest common divisor of o and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j*k**3*p - 6*j*k**2*p + 63*j*k*p + 688*k**3 - 4*k**2 wrt k.\nAnswer: -36*j*p + 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/2 + 1 + 0. Let t(b) = 431*b - 3027. Let i be t(7). Sort i, u, 3.\nAnswer: i, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282253199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12914 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12) + (sqrt(12) - (sqrt(432) - (sqrt(432) + (sqrt(432) + sqrt(432)*-2 + sqrt(432) - sqrt(432))))))\/sqrt(4))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 + 2*x**2 - 2*x - 2. Determine d(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16*d**2 + d**2 - 10*d**2)*(-2 + 1 - 2) + (-5 - 1 + 4)*(2*d + d**2 - 2*d))*(2 + 3 - 3).\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -2)*2\/4. Let b(j) = -2*j - j + h*j. Let i be (-21)\/(-3) - 11 - (-4)\/(-6)*-9. Let x(l) = 1. What is i*b(f) + x(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*0\/2. Suppose 0*z = z - 15. Let q be ((-5)\/z - 28\/6)\/(-1). Put w, -4, -5, q in descending order.\nAnswer: q, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -19*d**6\/30 - d**4\/12 + 157*d**3\/6 - 89*d**2 - 157*d. Let a(i) be the first derivative of n(i). Differentiate a(b) wrt b.\nAnswer: -228*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 8 = h, 5*h + 133 - 136 = 12*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39520347.\nAnswer: 3, 13173449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1242)\/24)\/9*4. Let f(s) = s**3 - 5*s**2 + 5*s - 2. Let b be f(4). Let m be 1\/(b\/(-96)*2). Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-16392)\/(-9) + 8\/(-6). Suppose 0 = 17*h - q - 1424. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twiw when four letters picked without replacement from twitwtittitti?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1976 and 23\/152.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 304319017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 9*z**2 + 20. Suppose 0 = -0*p + 4*p + 3*t + 78, -2*p = 3*t + 36. Let v be -1*(-6)\/p + (-204)\/21. List the prime factors of s(v).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 0.8. Which is the nearest to -2? (a) 2\/5 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(114)\/(sqrt(150)*4 + sqrt(150)).\nAnswer: 2*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516726933 to the nearest integer?\nAnswer: 22732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 144.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/4 + z**2. Let u(k) = 4*k. Calculate g(u(m)).\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**3 + 32125*c**2 - 51713035*c + 360418835 = 0.\nAnswer: 7, 3209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2)\/((-12)\/(-15)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, 2\/7 in increasing order.\nAnswer: 2\/7, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -49860.22 to the nearest 100.\nAnswer: -49900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*c**3 - 75*c**3 - 71*c**3 - 74*c**3 - 71*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/4 - 1431*k**2\/2 - 11496*k - 46048 = 0 for k.\nAnswer: -8, 2878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 12:06 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d - 3. Let u be l(8). Suppose 4*c + 107 = u*o, 2*o + 3*c - 4*c - 44 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f, -4*h + f + 16 = 0. Suppose -5*j = 5*i - 20, 3*i - h*j - 1 = -3. Suppose a = 7*a - 24. Solve -2 = -a*o + i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (-20 - (-21 + -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 397872?\nAnswer: 1989360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 26*s**3 - 7)*((-s + 2 - 2)*(0 + 1 - 2) + 8 - 8 + 9*s) in the form d*s**3 + w*s**4 + i + c*s**2 + h*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 13710*k**2 + 0*k + 13809*k**2 + 3 + 0*k.\nAnswer: 99*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 142 = 122. Let o = -1.69 - 0.11. Let a = o - -1.5. Sort 0.1, a, j in ascending order.\nAnswer: a, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*a**3 + 139*a**2.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**6 + 0 - 1\/12*f**4 + 0*f**5 + 0*f**7 + 1\/7*f**8 + 0*f**2 - 8*f + 0*f**3. Find the third derivative of v(g) wrt g.\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmllm. What is prob of picking 2 l and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-21)\/(-9)) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 107 + -3bc?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -5*f**4\/72 + 185*f**3\/18 - 6845*f**2\/12 + 33*f. What is d in q(d) = 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-42) + 12\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927202787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/72291 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3693*b - 1900*b - x - 64 = 1837*b, 2*x = 3*b - 37 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 140. Solve g*k + 3 = -3*c, 0 = k + 2*k - 2*c + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {t: 3, d: 6, l: 1, x: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, -37, -19 in increasing order.\nAnswer: -37, -19, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21441128 = 21441134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818*h + 818*h - 94*h**2 - 2 to r + p*h + q*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3777 and 555.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/24 + 21897\/6. Suppose -s + 0*s = -n. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268, 3, 2.\nAnswer: 2, 3, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943903 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 372, -2, 0 in decreasing order.\nAnswer: 372, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*4\/(-48)*-9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691436526 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-5)*(-60)\/24. Let r be (-14)\/(-2) - 7\/42*-6. Calculate the least common multiple of 132\/9 - r\/q and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or -705736?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 9\/13 (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2)\/3*0. Suppose -3*a - 5 = -n, 0 = -3*n + 2*n + 5*a + 3. Let l(v) = v**2 - 7*v - 6. Let s be l(n). Solve z = b - 1 - s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -978 or -609858\/623?\nAnswer: -609858\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13440 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.236 + 1.944. Let r = h - 2.23. Which is the closest to 0.1? (a) r (b) -0.4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -243, -475, -697, -909, -1111?\n\"Answer: 5*z**2 - 247*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1994.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 51*j**3 + 33*j + 102*j**2 + 24*j**3 + 3.\nAnswer: 3*(j + 1)*(4*j + 1)*(6*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = b - 4*l - 148, -5*l = -4*b + 41 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8736.321 litres to millilitres.\nAnswer: 8736321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s. Let n(v) = -v**3 - 4*v. Calculate -3*n(b) + 4*x(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, k: 4, y: 2}. Give prob of sequence kd.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 68. Let p be (4\/(-14) - (-80)\/35) + -2. Suppose -3*m - 6*m + 189 = p. Calculate the remainder when m is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 4, 13, 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:10 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45009 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*n - n + 60, -3*q = 12. Suppose 0*b + b = 2*l, -5*b = -n. Solve m + 6 = -l*g, g + 0*g - m = -6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -447 + 1066*x + 447 as q + n*x and give n.\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x*x)**(-1\/99))**(1\/16)*(x\/x**3)\/(x\/x**(-2\/3))*(x**(-7)\/x*x*x)\/(x*x*x*x**(6\/5)) assuming x is positive.\nAnswer: x**(-36613\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2 + 1 - 2 + 3 + (-2 - 1 - 1)*(1 + 0 + 1))*(2 + 2 + 0)*(0 + 2 - 8)*(-y**4 + 0*y**4 - y**4).\nAnswer: -480*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w - 4. Let l be p(-5). Let d be (1 - 4)\/(9\/l). Solve -5*n - 36 = 4*g, -2*g - d = g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.68382 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6167aa9 (base 11) to base 12\nAnswer: -3791551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 9. Suppose 4*w - 2 = 2*j, 0 = -0*w - w + 3*j - 12. What is the third derivative of -c**2 + m*c + 2*c**2 - 2*c**w - 14*c wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqkq when four letters picked without replacement from {b: 6, q: 7, k: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2)\/(14\/1680). Let n = i + 290. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s**3 - 11. Let w be 1564\/(-8)*14\/(-7). Let n(j) = w - 392 + 2*j**3 - j**3. Give -22*n(b) + 2*t(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751.\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -65 and -67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -54, -84, -116, -150, -186?\n\"Answer: -y**2 - 25*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/45 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15381 - -4?\nAnswer: -15378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -6\/7 (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10698 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**0\/d)*d)\/d*d*d**(-3)*(d*d*d**(-8)\/d)\/(d\/(((d\/(d\/(d**8\/d)))\/d)\/d))*(d**(-2\/5)*d**(3\/4))\/(d**(-2\/11)\/(d**(-5\/6)\/d)) assuming d is positive.\nAnswer: d**(-3499\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - 0.05. Let s = -0.07 + -2.93. Let r = -4 - s. Sort l, r, -4.\nAnswer: -4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000683875173 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -53\/5358 (b) 20 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47858 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6957 - 1.19422. Let o = -2 + 2.5. Let i = j - o. What is i rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 6\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 - 39 + f + (-5 + 2 + 2)*(-4*f + f + 2*f) + (14*f - 6*f + 0*f)*(-6 - 10 - 4).\nAnswer: -158*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3362 - -3362. Let v = -1.6 + 1.6. What is the closest to j in v, 2\/5, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.055 + -301.745. Let r = h + 303. Which is the closest to 1? (a) -1.1 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/165 or -1?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -605, -2120, -3635, -5150, -6665, -8180?\n\"Answer: -1515*j + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 o when three letters picked without replacement from keokdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 + 48414*b - 1889667 = 0. Calculate b.\nAnswer: -48453, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.313 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 173, 170, 165, 158, 149, 138?\n\"Answer: -f**2 + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04186 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 39*f**2 - 131*f - 223. Give j(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-54) - 954\/(-162). Solve -14*q + s = -8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.9. Let l = 0.09 - -0.31. Let x = 0.9 + -4.9. What is the nearest to 1 in r, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5945 + 5940. What is the third smallest value in -3, 0.23, r, 3?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18b674 + -b11?\nAnswer: -190585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-seven fifths of a millisecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2365.\nAnswer: -9460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48 or -103976\/2137?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*(10 + -8). Suppose -i + 175 = 4*n - 31, -4*n - 1030 = -a*i. Suppose -9*k + i = -7*k. List the prime factors of k.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5432 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**7\/840 + u**6\/90 + u**5\/30 - u**4\/4 - u**3\/3 + u**2. Let h(w) be the first derivative of k(w). Is 10 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-48))\/((77\/(-28))\/(-11)). Is 0.1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 4. Suppose -5*d - 3*y = -12, -6 + 1 = -2*d - y. Determine o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66247?\nAnswer: 31, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 4 = -z. What is the remainder when z is divided by -2 + (-4)\/8*-16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 0.1 (b) 517 (c) 9 (d) -7\/4 (e) -5 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469216 = 478*k - 566*k. What is the lowest common multiple of k and 18?\nAnswer: 47988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.201ml to litres.\nAnswer: 0.918201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 189, 281?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2536 - -2540. Solve -2*k + 2*z - 2 = 0, -3*k - 13 = i*z + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -5 - (-7)\/(-7). Let j = 0.3 - -0.7. Let d = j - 2. Which is the second biggest value? (a) d (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 1\/((-6)\/(-3510)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0 - 6. Suppose 0 = 2*g + 3*c + 89, -4*c - 86 = 2*g - 2*c. Is 2\/(l - g\/18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908701361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8*y + 12. Sort y, -1, -0.01 in decreasing order.\nAnswer: -0.01, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 + 174\/12)*(-30 - 0\/3). What is the second biggest value in -1, 25, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130\/7*r**2 - 16*r - 50\/7*r**3 - 32\/7 = 0 for r.\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-11 + r + 11)*(4 - 10 - 3).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/8 + 299*j**3\/6 + 22*j**2. Is 14 a factor of p(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Let i = 0.5 + -0.3. Let s = i - 1.2. Sort -0.2, u, s in descending order.\nAnswer: u, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66360, -132718, -199076?\n\"Answer: -66358*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g - 30 - 42 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 17\/6*j**6 - 100 + 0*j**4 + 1\/2*j**2 + 0*j**5 + 0*j**3 - 9*j. Find the second derivative of u(o) wrt o.\nAnswer: 340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*n**2 - 515*n**2 + 2 + 57*n**2.\nAnswer: -866*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524 divided by -881?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z*z\/((z**2*z)\/z))))\/z**(4\/7))\/(z\/z**3*z\/((z**(-1\/10)*z)\/z)) assuming z is positive.\nAnswer: z**(93\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -210514.3 and -91.\nAnswer: -210605.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0. Let v = -1517 + 1521. What is the closest to z in -3, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from sssssssstts?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -177 + 101 - -31 - -20\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75379.59kg to grams.\nAnswer: 75379590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 38*g + 26. Give c(-16).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 113. Let z be (3\/(-2))\/((-6)\/8). Suppose -z*g + 36 = 2*h, 5*h - 3*g - x = 38. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 16. Suppose -z*d - 8 = -3*g, 3*g + 2*g - 2*d - 18 = 0. Suppose k - 5*n = -k + 62, -3*k = -g*n - 86. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.27859.\nAnswer: 0.055718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*v = -2*v + 963, 3*s + 5*v - 600 = 0. Find the common denominator of (11*-1)\/(18\/(-5)) and s\/4 - 2\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*p = 53, -i - p = 44 + 11. Let r = i + 134. Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1dc?\nAnswer: -1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 2*y - 2. Suppose 0 = 5*a - 8*a - 3*s - 3, -4*a + s + 16 = 0. What is the remainder when g(4) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 24*h + 89. Give v(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -45dc?\nAnswer: -45cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, e: 1}. Give prob of picking 1 e and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3833, -3863, -3893, -3923?\n\"Answer: -30*r - 3803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 2*u - 133. Let c(d) = 4*d**2 - 3*d + 134. Determine 2*c(r) + 3*w(r).\nAnswer: -r**2 - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 273\/26 + (8 - 63\/18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*k = 250*k - 320. Suppose -k*w + 697 = -9991. What are the prime factors of w?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 46.44. Let k = -0.24 + m. Let g = k - -3. Which is the third biggest value? (a) -1\/4 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*x**2 - 139*x**2 + 69*x**2 + 342*x + 81*x - 26*x.\nAnswer: x**2 + 397*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + a642c2?\nAnswer: a642bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**8\/1344 - m**7\/35 - 3*m**6\/32 - 11*m**5\/120 + 1463*m**2. Solve f(u) = 0.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 33030?\nAnswer: -33020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13 - 2*s - 18 + 31 + s. Let q(z) = -2*z**2 - 2*z - 2. Let m(a) = a + 1. Let u = 2 - 1. Let l(p) = u*q(p) + 2*m(p). What is w(l(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -1303?\nAnswer: 12b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -116.35. Is 2\/5 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1639823 and 263558166.\nAnswer: 261918343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.611 - -0.111. Let a = -30 - m. Let l = a + 1.4775. Round l to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 561, 1324, 2379, 3708?\nAnswer: 5293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f**2 + 8*f**2 + 4*f**2 + (3*f + 6*f + 4*f)*(0 - 2*f + 0) - 6*f + f**2 + 5*f - 428 + 426 to the form k*f**2 + r + s*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*j - 20 = t, 2*j - 19 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 1. What is i(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9)*r**8)**(-39))**(2\/13) assuming r is positive.\nAnswer: r**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13447451 and 4479.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 392525, 785034, 1177543, 1570052, 1962561, 2355070?\n\"Answer: 392509*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 77\/15 + 16\/(-120). Let h be (-6)\/(-2)*(-1 - (-60)\/y). Suppose h*s - 37*s + 280 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5938 + -3860. What are the prime factors of m?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 1781, 3956, 6997, 10904, 15677?\nAnswer: 21316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - (3 + -3)) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/(-4)*-2*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**2. Let p(b) = -10*b. Determine p(i(d)).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 40*b**2 + 44*b + 46. What are the prime factors of k(8)?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -323 + 2?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 45\/10 - 3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -3, 0, -14\/37, -1\/8, -2\/5?\nAnswer: -14\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5) - -139*(-6)\/(-30). Let s = v + -49. Let p be s + 19 - (-7 + 1). Solve -p = -0*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 16*j**2 + 35*j + 56. What is the remainder when 73 is divided by b(18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6)*207\/12. Let w(y) = y**3 - 21*y**2 - 20*y + 11. What is the tens digit of w(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhg when three letters picked without replacement from {g: 1, h: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -12076.4011207?\nAnswer: -12093.4011207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -976 * -41.\nAnswer: 40016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298742 divided by 5?\nAnswer: 298742\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/10 - 2*c**3\/3 + 38*c**2. What is the lowest common multiple of 1\/(-4) - 57\/(-4) and i(-2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:48 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010011 - 1001010100010000?\nAnswer: -1001011011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613b (base 13) to base 11.\nAnswer: -a083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4 + 8*v + 24*v - 3*v - 2*v. Suppose -2*n + 6 = 0, 4*n - 8 = -k + 7. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g - g + (9*g - 11*g + 11*g)*(-2 - 5 + 2)*(-8 + 14 - 1) in the form w*g + f and give w.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 - -86. Find the second derivative of -38*l**2 - 87*l**2 + 56*l - s*l - 143*l wrt l.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 366, 346, 310, 252, 166, 46, -114?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 11, r: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 13. Let b be ((-47)\/t - 3)*4. Suppose -b = -j + 4*u, -42 = -0*j - 2*j + u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657781 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**5 + 2*y**4 - 29*y + 2. Let p(d) = -4*d**5 + 5*d**4 - 57*d + 5. Let j(w) = -5*b(w) + 2*p(w). Find the second derivative of j(t) wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**2. Let a(y) = 28*y. Let u(f) = -f**2 + f. Let d(n) = -2*a(n) + 56*u(n). Calculate z(d(b)).\nAnswer: 34496*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 2. Let a be x(-2). Suppose -13*b + 22*b = 225. Solve -3*k = i - 5, a = -0*k + 4*k - 5*i + b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10566 - 10568. Let g be 2\/(((-2)\/(-6))\/1). What is the hundreds digit of (6585\/g)\/5 + (-1)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33121314 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 50 (c) -0.497 (d) -0.07 (e) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5196 - 1714. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 11. Let p(t) = t**2 - 13*t + 5. Let h be p(5). What is the units digit of (-202)\/(-10) - w\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 67 - 10*m + 13*m. Let p(w) = -w + 3. Let c(g) = -4*p(g) + v(g). What is the derivative of c(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2877*s**3 + 1229*s**3 + 1659*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -12. Suppose 3 = o - w. Let i(a) = a - 7 + o - a**2 - a**3 + 0*a**3. Give i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2 + 160929*n + 1073977.\nAnswer: -2*n + 160929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -150880011*y**3 + 14*y**2 - 2*y - 1. Let n be g(1). Round n to the nearest one million.\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 18. What is the tens digit of 22 + (x - 3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349880 is divided by 116564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*w - 556*w + 274*w + 2 + w - 2 + (-3 - 1 + 2)*(w - w + w))*(2*w**2 + 0*w**2 - 5*w**2).\nAnswer: 369*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11046.\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + q + 18 = 0, -2*y + 0*q + 20 = -2*q. Let g(z) = 8*z - 54. What is the lowest common multiple of g(y) and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 + 3271407*l\/4 - 1635705\/2.\nAnswer: 3*(l - 1)*(l + 1090470)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 2*d**3 + 12*d**3 + (-3*d**2 - 2*d**2 - 6*d**2)*(-12*d - 7*d - 5*d).\nAnswer: 277*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 0, 2*h + 0*v - 2*v = -22. Let m = h + 18. Let c be m\/1 + (-2 - -5). Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12199800 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-273)\/182)\/((-3)\/4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 39. Let b be k(-12). Suppose -7 = b*g - 10*g. Solve -3*j + h = -g, -3*h - 2*h = 3*j - 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 15, l: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/18 (b) -2\/11 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11116009286922 and 0.1.\nAnswer: 11116009286922.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let o = f + 3.2. What is the third biggest value in -4\/5, o, 2\/17?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-77)\/11 + (21 - 15). Does o = 4\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11173031509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35 + 31 + 165 + 6*p + 1715*p**2 + 219 - 40 wrt p.\nAnswer: 3430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -7.5. Which is the closest to 0.2? (a) 1\/3 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325) + -1.\nAnswer: -4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 106 + 79 - 80 - 100)*(-1 + 1 - 4*p**2).\nAnswer: 1176*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -57*x + 36. Let g(b) = -17*b + 12. Let s(f) = 7*g(f) - 2*t(f). Let l(o) = -11*o + 24. Calculate -6*l(y) + 13*s(y).\nAnswer: y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 37*r**4\/24 + 29*r**3\/6 + 10*r**2. Let h(u) = -u**2 + 17*u - 46. Let i be h(13). Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553516 (base 8) in base 9?\nAnswer: 313357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/5 - 167\/(-5). Let m = p - 29. Suppose -5*w = -15, 3*v + 59 = m*v - w. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 + s**2 + 10368*s - 10368*s in the form b*s**2 + a*s + o and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 28*a + 62*a - 21*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119388, -118922, -118456, -117990, -117524, -117058?\nAnswer: -116592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -73, -123, -181, -247, -321, -403?\n\"Answer: -4*w**2 - 30*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*g = -502*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 9:53 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {v: 2, w: 7, p: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9918512 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/13 - (17 - 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -29.6. Let f = y - 0.6. Let w = -61733.46 - -61734.16. Which is the second smallest value? (a) 0.1 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5044, 19304, 42802, 75538, 117512?\n\"Answer: 4619*s**2 + 403*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 107.9+-1.472246447\nAnswer: 106.427753553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(99) + -2)*6*-4.\nAnswer: -72*sqrt(11) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -453722?\nAnswer: 453722.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -26, -39, -58, -83, -114, -151?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let k = f + -1. Let o = 0.09779 - -0.10221. Which is the nearest to 3? (a) o (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orx when three letters picked without replacement from {r: 3, o: 3, t: 1, i: 1, x: 3, f: 3}?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 14*n - 58. Let b(w) = w**2 + 16*w - 60. Give 6*b(k) - 7*o(k).\nAnswer: -8*k**2 - 2*k + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6796 + -1?\nAnswer: -6797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 209243 and 209243 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = 2*v, -2*z - 2*v + 8 = 2*v. Suppose z*x + 3*x = 0. Solve 4*u - 20 = -x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/330 - 17*f**4\/66 + 64*f**3\/33 - 1065*f**2. Factor q(i).\nAnswer: 2*(i - 32)*(i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 888343?\nAnswer: 888337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713997983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/1755)\/((136\/6)\/17).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 11 = k, r - 4*k = -10. Suppose -5*o - r*n + 78 = 0, 5*n = 6*o - o - 50. Solve -5*c - o = 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18.9. Let g = 0.1 - l. Let n = -5 + 10. What is the third biggest value in 1, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0*i**2 + 0 + 0*i**6 + 23\/42*i**7 - 1\/2*i**3 + 12*i + 1\/10*i**5 + 0*i**4. Find the second derivative of w(z) wrt z.\nAnswer: 460*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 17*y - 37. Let m be z(15). Let h be (-17215)\/(-35) + -2 - 1\/m. Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 23*y**3 - 2*y**2 + y - 1. Let l be j(2). Let d = 2437\/14 - l. Let c = -18779 - -338125\/18. Find the common denominator of c and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 20*i + (9 - 9 + 6*i)*(2 + 0 + 1) + (3*i + 4*i - 6*i)*(-3 + 0 + 7) to the form r + v*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbej when four letters picked without replacement from jbhhqje?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 3\/5, -3480, -2, -2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72)\/20 + -22*(-2 + (-120)\/(-66)). Let q = -0.1 + 5.1. Put q, 4, k, -0.13 in ascending order.\nAnswer: -0.13, k, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 832924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*l**2 - l**3 + 23698*l - 23698*l + 1 as m*l**3 + q*l + p + i*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Suppose a = h + 1. What is the first derivative of 2*b**a + 4*b + 2 - 4*b wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001111 (base 2) to base 11\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*g - 4 - 4, 4*g - 3*n - 2 = 0. Let k(y) = y - 3*y + 2 + 4*y. Determine k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7783 is divided by 648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2079 and 1512.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (317 - 236) + -4 + -55.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t**2 + 6*t - 1878. Let l be i(0). Is -1876 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9699900 rounded to the nearest ten thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 55*r**2 + 1296*r - 69434. Determine x(56).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 9*u = 111. Suppose u = 4*k + 3*b, 5*k - 113 = 3*b + 46. Calculate the remainder when k + (-6 - -2) - 2\/2 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22449 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 9*n - 10. Let w be f(10). Let k(c) = 4 + 5 + 115*c - 46*c - 68*c. Determine k(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.11566133868 and -0.2.\nAnswer: 10.91566133868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a year?\nAnswer: 268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*v + 15, -3*a + v + 0*v = 13. Let s be (-1 - a)\/3*0. Suppose s = 2*x - 6*x + 56. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/97829?\nAnswer: 4\/97829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 + 2 - 9*z**2 + 3*z**2 as y + i*z**2 + d*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from {h: 2, s: 5, z: 6}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let c be (-3 + 1 - -2) + -3. Let r be (-1 - (2 + c)) + 4. Is k < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:28 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -8377, 5, 65 in descending order.\nAnswer: 65, 5, 2, -1, -8377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (11 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 399219 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkzkzzhkk. What is prob of picking 1 h and 3 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (9299\/2)\/(-14 + (-29)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 950392528556.63 and -0.9.\nAnswer: 950392528555.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -193 - 185. Let n = -21 - -35. Calculate the greatest common divisor of f and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89124.\nAnswer: 2, 3, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -73a7 (base 14) in base 4?\nAnswer: -10313213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 26*h - 210*h**3 - 65*h + 15*h - 238*h**3 + 25*h to d*h**2 + o + g*h**3 + i*h and give g.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11189 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*y - 99*y**3 + 107*y**3 - 54*y + 102*y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 196419?\nAnswer: -2\/196419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23949.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/30 - 9*m**5\/20 - 153*m**3\/2 - 600*m**2. Find the first derivative of w(b) wrt b.\nAnswer: 12*b**2 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, 2\/21, -7\/6, 203?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*f + 195 = -76, 3*k = -4*f - 180. Sort 0, k, 2 in descending order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 122011023?\nAnswer: -122011023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(30)\/sqrt(5)) - 2*sqrt(2541))\/((sqrt(243) + (sqrt(243) - (sqrt(243)*1 - sqrt(243))))*2).\nAnswer: -7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7743 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -359*b + 352*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1062160\/820)\/(-68) + 10 + 9?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/18)\/(4\/(-54)). Suppose -a = 6*a - 35. Suppose 2*p + p - a*b - 42 = 0, 9 = -3*b. Calculate the greatest common factor of l and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34826029 = 57*m - 7558658. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 12. Let n be (-1 + 7)*q\/8. Suppose n*x = 50 - 8. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let r be d(-3). Let v(y) = -11*y**3 + 2*y**2 - 14*y. Let a(z) = 4*z**3 + 5*z - 3 - z**2 + 3. Determine r*v(x) + 8*a(x).\nAnswer: -x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -71 (b) 1 (c) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-18) - (-62)\/3. Suppose 0 = -19*z + 14*z + g. Let n(c) = -c**2 + 7*c + 2. What are the prime factors of n(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (16\/(-4) - 127) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/15)*(r*r**(-13))\/r)\/((r*r*r**(-12)*r)\/r*r**(2\/7)*r) assuming r is positive.\nAnswer: r**(-457\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 + 24\/3 + -11. Suppose -y*a - 1853 = -11555. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a6599 (base 11) in base 2?\nAnswer: -1110100100000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {r: 5, v: 4, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 40. Which is greater: l or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j - 9. Let w = -72 - -76. Let m(q) = 3*q + w + 3*q - 8*q - q. Let h(b) = -4*l(b) - 9*m(b). Let v(s) = 15*s. Calculate h(v(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 - 7*v**2 - 5*v + 4. Let s be h(2). Solve 86*l - s = 89*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 64. Suppose 2*l = 6*l + h. Let g = 4 - 2. Put l, 4, g in decreasing order.\nAnswer: 4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*p + 3*p. Solve 0 = -2*f + p*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = w - 20, l - 5*w + w + 14 = 0. Let j(d) = 2*d + 6. Let c be j(-6). Are l and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6824.649ug?\nAnswer: 6824649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -19, -0.53, 5\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 595584 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15734074152+1\nAnswer: 15734074153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8013 - 1936. What are the prime factors of a?\nAnswer: 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2289 and 752984099?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*p = 10, -p = 3*b - 5 - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*y + 52, -2*i + 5*i = -3*y - 84. Let l(u) = u**3 - 11*u**2 + 1. Suppose 9*f = -4*f + 143. Let p be l(f). Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 4 + 236. Suppose -2*v - a*v - 17 = 0. What is the nearest to 0.1 in -0.4, v, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2\/613 (c) -0.1 (d) -6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 269236931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 387, 760, 1121, 1464, 1783?\n\"Answer: -j**3 + 380*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/3)\/15*0\/189?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8652*s**2 - 17*s + 38. Let h be a(2). Suppose -53*c + h + 25225 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 + 2195159 + 2195158 - 4390316.\nAnswer: -26*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4727575, -4727530, -4727485, -4727440, -4727395?\nAnswer: -4727350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31660.\nAnswer: 2, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2\/13 + 52273246*v\/13 + 52273244\/13 = 0.\nAnswer: -26136622, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 360 + 30 = 0. Solve 16*c - 3 = j*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*94\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 7, -4 in decreasing order.\nAnswer: 7, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927080891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 1. Let r(a) = -5*a**2 - a - 1. Suppose -86*s = -66*s + 80. Calculate s*v(x) - 4*r(x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1372 by -343.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o - 20. Let v(a) = -7*a. Let f be v(-1). Suppose -f*i + 15 = 1. Calculate the smallest common multiple of o and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 45 = 57. Let k(a) = 3*a + 6. Let q be k(-6). Calculate the remainder when v is divided by (3\/(-2))\/(q\/16).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 30 = -3*y. Suppose 0*w = -2*w + y. Suppose -3*s + w = -15. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (138\/21 - 48\/84). Sort x, -5, 424 in ascending order.\nAnswer: -5, x, 424","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -k, k + 3*k - 5*s = 45. Suppose 8780 = k*d + 2485. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/19)*f**(-14\/9)*((f**(-13)\/f)\/f*f)\/(((f\/f**(26\/3))\/f)\/f))**30 assuming f is positive.\nAnswer: f**(-10610\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*c**2 - 2\/13*c**3 + 0 + 2\/13*c - 2\/13*c**4.\nAnswer: -2*c*(c - 1)*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let x be 2 - r*3\/6. Let v(l) = -x*l + l - 2*l. Let f(q) = q**2. Calculate f(v(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 181 * -4\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -3 (c) 0.8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = 0. Suppose -2*s + 16 = 3*w, r*w + 4*w - 8 = -s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.18 + 63.58. Which is the third biggest value? (a) f (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 174*c**2 + 33*c - 4. Let w(z) = 175*z**2 + 34*z - 5. Let r(q) = -5*d(q) + 4*w(q). What is the second derivative of r(h) wrt h?\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**3 - 33*d**3 + 0 + 16*d**3 - 6.\nAnswer: -d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5785931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038668713 rounded to six decimal places?\nAnswer: 0.000387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 31613*s - 31613*s - 2*s**2 + 435 - 11*s**2 as k*s + b + i*s**2 and give b.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 162*g**2 + 529*g - 8789. Calculate m(159).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-90) - 16\/20. Sort 3, x, -4\/7 in decreasing order.\nAnswer: 3, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-3)\/(-3) - 2. Let v = 14 + u. Let z be v\/2 + (-3)\/(-6). Solve -2*b + 4 = 3*d - z*d, -3*b - 4*d - 17 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9197 in -1\/3, -10, 1\/10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + sqrt(3) + -5 + sqrt(3) + 0 + sqrt(3)) - (-3*(2 + sqrt(3) + sqrt(3)*3))**2.\nAnswer: -483 - 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 82*p - 71. Give n(-25).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = 2*g, -2*m - g + 12 = g. Let z(l) = -3*l**2 + 2*l + 0*l + 9*l**2 + l**2. Let u be z(-1). Solve 0 = u*n - m*d + 4*d + 23, -2*d + 7 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*p - 11*p - 904 = -82*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132050409 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40522, -162662, -366416, -651784, -1018766?\nAnswer: -1467362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*c + 33 = 0, 2*g + 0*c - 12 = -2*c. Let j = 13 - g. Suppose 0 = -2*u - 23 + 23. Solve 0 = j*f - u*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 29 - 2*o + 297*o**2 - 296*o**2. What is the tens digit of b(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.046 + -49. Let b = i - -9.954. Let v = 9.9999965 - b. Round v to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 7, o: 7}. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4284)\/210)\/17)\/((-1)\/(30\/(-9))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 + 4*n + 3. Let a = -10 + 4. Let c = a + 4. Calculate m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1079 + -1076. Solve -5*a = -x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9702, 9707, 9712, 9717?\nAnswer: 9722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 1 + 2*m**3 + 0)*(0 + 2 - 3)*(9 - 1 - 4)*(3 + 1 - 2).\nAnswer: 8*m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-2)*574\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/7 - 8\/7. Let j(a) = -a**3 - 5*a**2 - 5. Let c be j(-5). Put c, f, -0.1 in decreasing order.\nAnswer: f, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q. Let w(y) = y**3 - 9*y**2 + 7*y + 11. Let o be w(8). Let b be x(o). Solve -f - 4*f - 20 = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*22\/8*(-7254)\/(-1023)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 141290955?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -124*n*y**3 + 6*n*y**2 - 9*n*y - 215*n + 42426230*y**3 wrt n.\nAnswer: -124*y**3 + 6*y**2 - 9*y - 215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500968747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.3497 rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105075 is divided by 7003?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376857 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*j - 2, -j - 5 = -m - 0*j. Let r be (-2)\/m*(-2)\/(-10). Let f = 54 + -377\/7. Which is the second smallest value? (a) -5 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w - 3. Let p(x) = x + 13. Let h be p(-17). What are the prime factors of v(h)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 1276 - 4372 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800876 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: Is 129883 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -64.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*f + 16 + 24, -7*f + d = -46. Calculate the lowest common multiple of 2040 and f.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/18 and 83\/4893048.\nAnswer: 4893048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkdd when four letters picked without replacement from ddkd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 108735998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-3)\/2)*2. Let z be (-4)\/h - 25\/(-7). Suppose v - 6 = z*n + 8, -5*n = 3*v - 84. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59325, 59327, 59329, 59331, 59333, 59335?\n\"Answer: 2*k + 59323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o - 4 + 1 - 23 - 9. Let v be m(-5). Solve v = -w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:12 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4744, 9475, 14216, 18973, 23752, 28559, 33400, 38281?\nAnswer: 43208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -175 * -1\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 33*s = -7456. Does 57 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3501215 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: Subtract 15820272501 from 1144.\nAnswer: -15820271357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/12 + 5*k**3\/3 + 100*k**2. Calculate p(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, l: 8}. Give prob of sequence hhhh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*6*((2*sqrt(891) - sqrt(891)) + sqrt(891)) - -1*(sqrt(891) + (1 + sqrt(891))*-2)))**2.\nAnswer: -15228*sqrt(11) + 17714007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 3. Let m be 10\/2 - 6\/u. Suppose -m = -2*o + 10. Calculate the highest common divisor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130765981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 + 6*j**3 + 3*j**4)*(j + 2*j + 0*j) - 2*j + 2*j + 2*j**5 - 23*j + 1628 - 1628 - 3*j**5.\nAnswer: 8*j**5 - 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 9 = -15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 = 2*l - 5, -l = -4*j - 9. Suppose -4*r + l*r + 9 = -2*u, -2*u + 3*r = -15. Let g(p) = 3*p**u + 4*p**2 - 4*p**3 + 1 + 3*p + 1. Give g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229222704 less than 57?\nAnswer: 1229222761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-116))\/((-2)\/(-1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*d + 193, -d + 5*p = 4*d - 175. Let t = d + -20. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105189341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqqqqinn. What is prob of sequence inn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*s - 27, -15*s + 20*s = 3*t. Solve -t*y = -4*y - 9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 954.711ml?\nAnswer: 0.954711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6336)\/55)\/18 - -6. What is the second smallest value in 16.6, s, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264471 - 68762587\/260. Find the common denominator of j and 119\/1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jre when three letters picked without replacement from rjvey?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - (-34)\/(-6). Let d(h) = h - 4. Let f be d(c). What are the prime factors of ((-78)\/f)\/(2\/6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/16 and 91\/302?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-19 + 19 - -37)) + 28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74, 120, 154, 170, 162, 124?\n\"Answer: -z**3 + 53*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5269702g in kilograms?\nAnswer: 0.0005269702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r. Let o be -11 + 5 + (-6)\/3. Let x = o - -8. Let c(p) = 0*p**2 + x*p**2 + p**2. Give y(c(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 - 4795*t**2 + 1107760*t + 20242240 = 0 for t.\nAnswer: -17, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -3, -26.9, 12\/7, 4\/7 in decreasing order.\nAnswer: 12\/7, 6\/5, 4\/7, -3, -26.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 37*w + 9 = -4*m, -2*m - 24*w + 20 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2013*k + 2. Let y be d(-9). Suppose 18000 = -2*a - 2*n, -4*n = -3*a - y - 8881. What is a rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/993*((-5)\/(-2) + 1*2). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 0 + 1)*(3*g - 2*g + 0*g) - 3 - 3*g + 3 + (-2 + 0 + 1)*(-2*g + 3*g - 2*g))*(-1 + 1 + g) to r + o*g + k*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + 11 + -7 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 523.5 - 524. Which is the third biggest value? (a) -6 (b) -3\/7 (c) -17 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a - 4 + 11*a + 3. Let f = 3 + 14. Let m(i) = 22*i + 3*i - 3 - 5*i. Give f*h(p) - 6*m(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13953*h**3 - 13939*h**3 + 3 - 13809*h**3 - 3 + 41695*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382395 is divided by 109?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356338661 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115, -218, -321, -424, -527?\n\"Answer: -103*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:28 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 - -104. Let a = b - -94. Suppose -2*r + 36407 = a*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 4*m + 3. Let t(r) = -1 - 186*r + 96*r + 91*r. Calculate -k(x) - 3*t(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 5\/2, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 4*y**2 - y**2 - 5*y + y**2 + 0*y + 4*y + (-2*y**2 + 0 + 0)*(-6 + 1 + 3) in the form l + j*y**2 + z*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by (-15)\/(-10)*4*(-2 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00161227554 rounded to six dps?\nAnswer: -0.001612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7699, 7722, 7745, 7768, 7791, 7814?\n\"Answer: 23*s + 7676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 72*x**3 + 13*x**2 - 37*x + 19. Is a(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34962698069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 26, 5, -16.\nAnswer: -19, -16, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 471948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -11, 78, -3, 0 in decreasing order.\nAnswer: 78, 7, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (320*d - 426*d + 283*d)*(3*d**4 - 3*d**4 - 2*d**4).\nAnswer: -354*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110010001011111100 (base 2) to base 6\nAnswer: 4223404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 41 = 3*j, -j = -2*f + 4*f - 7. Solve 0 = 4*s + 5*q - j, -2*s + 2*q + 4 = -0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 35. Let i(u) = u - 3. Calculate -i(b) - n(b).\nAnswer: -5*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 3*b - 3. Let f be c(2). Let x be (-2)\/5 + (-12)\/f. Let k = x + 8. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 564*y**2 - 5*y - 4. Let p be 4\/(-1) + 3 + 12. Let g be (2 - 4) + (p - 5). Let r be w(g). Round r to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = -2*l, 4*l = 4*v + l - 24. Let f(o) be the first derivative of -1\/3*o**3 - 5 - v*o - 3*o**2. Suppose f(t) = 0. Calculate t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13742*d - 1020903 + 141415 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*g*q**2 + 90*b*g*q*z + b*g*z - b*q*z - 44*b*z + b + g*z with respect to q.\nAnswer: 4*b*g*q + 90*b*g*z - b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1508*s - 163 = -1507*s - 9*i, 2*i = 36 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**5\/5 + 7*l**4\/12 - l**3\/3 + l**2\/2 + 3*l + 13. Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -7 - q**2 + 73\/4*q**4 + 44\/3*q**3 + 0*q. Find the third derivative of b(m) wrt m.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 746691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/154)\/(2\/(-98))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 1100799660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2820308 (base 9) to base 6\nAnswer: 53105355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x + 1. Let r be (-18)\/6 + (-7)\/x. Suppose -11*v**4 - 16*v**2 + 4*v**5 + v - 5*v**r + 3*v + 24*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3 - 21294*q**2 - 39610080*q - 6392834400 = 0. Calculate q.\nAnswer: -3460, -178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c = -59219164 - 6438211 - 47347825. Round c to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 5\/2011, -4, -2\/15, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 + 253. Suppose -4*d = -5*v - 168, 2*d - v = 98 - 14. What is the greatest common divisor of u and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.100169 - 7.1. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-321)\/(-12) + (-2)\/(-8). What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2536581 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - 0. Let m = -0.1 + 0.1. Which is the nearest to m? (a) u (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -21*y - 32 + 32 - y. Let n(p) = p**2. What is n(t(r))?\nAnswer: 484*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14928.359908 - 14928. Let v = 0.01 - 0.37. Let k = v + i. Round k to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 88. Let y(z) = -28*z + 356. Let b(a) = 18*u(a) + 4*y(a). Let q be b(14). What is the highest common factor of q and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 62*s + 233. What is the hundreds digit of j(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-45))\/((-2)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 14 = -i, 3*p + 12086*i - 12090*i = 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 207*x**3 - 4014*x**2 + 14208*x + 18432 = 0.\nAnswer: -1, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15689.85nm?\nAnswer: 0.01568985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/4 - 34594375*x\/4 + 11531459\/2 = 0.\nAnswer: -11531459, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730 divided by 100703.\nAnswer: 730\/100703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 16 (c) -53 (d) -2204 (e) 4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -161. Solve -4*r - u = 17, 1 = -p*r - 4*u - 31 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1985277*v - 1985730*v - 225 + 225.\nAnswer: -453*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55581 is divided by 110?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-9)\/(-72)) + -2 + 1. Does 18 divide (-279)\/(((-2)\/14)\/(2\/z))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 750449?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 61206\nAnswer: -24482.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t + 2*t + 4*t - 6*t - 1 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {t: 3, h: 4, i: 11}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377) + -4*sqrt(1377) + 2)*2.\nAnswer: -36*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -30, -65, -114, -177, -254, -345?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/36 - z**3\/6 - 19*z. Suppose t(q) = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -114, -146, -224, -366, -590?\n\"Answer: -3*v**3 + 4*v**2 + 5*v - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 53?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 - 128b557?\nAnswer: -128b49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151196113039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*2*471\/(-12560)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*x. Suppose x = -2*j + 3 + 1. Solve 6*z - j*z = -8, -2*k = -4*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2969*p - 8. Let c be b(1). Suppose 0 = -4*y - 4*x - c - 2395, 3*x = -5*y - 6699. Let q = y + 2108. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 3*j + 10. Determine s(-10).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/226? (a) 4 (b) 0.5 (c) 22 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1314\/(-12)*(-12)\/(-18). Let h = -107 - s. Put -2, h, 5 in decreasing order.\nAnswer: 5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-22) - (2268\/(-495) + 2))\/((-36)\/(-480))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m - 2 = -18*m. Let r be ((-20)\/(-50))\/(m\/(-430)). Calculate the remainder when 38 is divided by (-8 - -2)\/12 - r\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-20)\/((-40)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 + 0*p**2 + 2*p**2)*(-p + 4*p + p)*(-1 - p + 3 - 1) to a*p**3 + j + s*p**4 + n*p + g*p**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**3\/3 + o**2\/2 - 2*o + 1. Suppose f = -5*i - 25, 2*f - i - 5 = -3*f. Suppose f = 2*t + 3*t. Give p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, 4.\nAnswer: -29, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 11 + 16)*(6 - 4 + 5)*(1 + 1 - 4)*(a + 2 - 2)*(3*a**2 + 2 - 2) in the form h*a + n + s*a**2 + q*a**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 26*h - 4 + 4 - 38*h. Let m(l) be the third derivative of -11*l**5\/60 - 1169*l**2. What is m(z(v))?\nAnswer: -1584*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 2. Let l be (n - 37\/(-3))*114000. Round l to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.671, -5\/3, -0.14?\nAnswer: -0.671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46410849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqqxllyllyl. What is prob of picking 1 y, 1 l, and 1 q?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -20 - (-2 + (-1 - 18) - -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.49155 nanograms?\nAnswer: 0.03149155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 2, y: 1, o: 1, u: 1, x: 1}. Give prob of sequence xojy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 3*i + j + 8, -2*i + 14 = 5*j. Suppose -4 - 16 = -5*t. Suppose -s - 3*s + t = 0. Solve -3 = r + v - s, 10 = -5*r + i*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 3}. What is prob of picking 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 29 + 13 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u**2 + u - 3. Let t be b(-2). Let i = t + 61. Suppose 416 = -6*s + i*s. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45238.\nAnswer: 2, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 105\/13 (b) -0.613 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*b - 208, -338 + 28 = -3*d + 5*b. Find the common denominator of (12\/44)\/((-10)\/d) and -71\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 30 = -6. Calculate the least common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*v - 2958*v - 98413 - 320824 = -560*v for v.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 57 = 2*o - 537, -3*u + 56 = -2*o - 5*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)\/z*z**(-2\/7)*z)\/(z**6*z*z**(3\/5)*z)*(z*z\/(z\/((z**(2\/3)\/z)\/z))*z\/(z**(-4)*z*z)*z)**(-35) assuming z is positive.\nAnswer: z**(-14387\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -4.3. Let p = -20 + 19.6. What is the nearest to 0 in p, q, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16521 and 68611713.\nAnswer: 16521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-5))\/(-5)*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) 3 (c) 5 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, o: 4}. Give prob of sequence oggg.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10817700 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -2*i, 16 = 2*m + 4*i. Let v be ((-5)\/m)\/(6\/24). Suppose 0 = -3*s + v + 2. Which is the second smallest value? (a) s (b) -0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*i*k**4 + 18*i*k**3 + 303*i*k**2 wrt k.\nAnswer: 1440*i*k + 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -949, -746, 107, 1934, 5059, 9806?\nAnswer: 16499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hehm when four letters picked without replacement from {e: 1, t: 6, w: 4, m: 2, h: 7}?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.077 - -3.477. Let y = -0.01 + -6.99. Let v = -6.92 - y. Which is the second biggest value? (a) 0.3 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(272))*6 - -6*(0 + sqrt(272)))*5.\nAnswer: 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 53. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 43477.4 milliseconds?\nAnswer: 43477400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {o: 1, g: 2, k: 4, d: 5, a: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -2. Suppose 2*b - 3*x - a = 4, -3*b + 2*x = -5. Let w = 3 + b. Solve -1 = -h - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68, 59, 30, -31, -136?\n\"Answer: -2*n**3 + 2*n**2 - n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/8 + 11*o**5\/24 + 5*o**4\/12 + 4*o**3 - 7*o**2. Let b(t) be the first derivative of w(t). Factor b(p).\nAnswer: 5*(p + 1)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (2 + (6 - 78) - -29).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1357, 1559, 1763, 1969, 2177, 2387?\n\"Answer: b**2 + 199*b + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmccohy. What is prob of sequence yhco?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 86 = 4. Suppose 3*f - 33 - s = 0. Calculate the remainder when (0\/1 - 7)*-7 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-11731.3.\nAnswer: -23462.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1418 less than or equal to -1422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135050.\nAnswer: 2, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -299.8 - -301.2. What is the fourth smallest value in -0.15, 1\/2, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -235 in increasing order.\nAnswer: -235, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69164368 and 475030?\nAnswer: 345821840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/6 + 4585*a**3\/6 + 6868*a**2 + 54920*a\/3 + 36608\/3 = 0?\nAnswer: -4576, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*k + 71, -2*i = 2 + 2. Calculate the remainder when 68 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/39 (b) -0.083 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 27, -65, -247, -549, -1001, -1633?\n\"Answer: -5*a**3 + 3*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.408?\nAnswer: -0.5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655407 is divided by 327700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 12, -2*a - 4*s + 2*s = 216. Let g be a\/(7\/(42\/(-9))). Is 9 a factor of 14\/7*g\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (3 + (-4 - (4 + -4))). What is the remainder when 3*(141\/z - 2) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114*h**4 + 1465 wrt h.\nAnswer: 456*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.01, 0.1, -0.42, -18\/31?\nAnswer: -18\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19703 or -807850\/41?\nAnswer: -19703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -479 or -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 + 5 = 6*g - 4*v, -4*g + 9*g = 5*v - 100 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2212?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.2. Let r = -19 - -19. Which is the biggest value? (a) i (b) -2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 + -0.0236?\nAnswer: 884.9764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/151 (b) -18 (c) 5 (d) 1 (e) 2\/9 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370.5 - 490.5. Sort j, 2, 1\/6 in ascending order.\nAnswer: j, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1222386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 139, 269, 439, 649, 899?\n\"Answer: 20*w**2 + 30*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + -234. Let v = 445 + n. Round v to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 20*o**2 + 48*o - 40. What is the units digit of v(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 8*a - 12 = 11*a, -3*d - 5*a + 32 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 861? (a) 3.8 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 4, 26, 68, 136, 236?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.84 - -113. Let w = c + -2.1. Let g = -0.9318 - w. What is g rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 116?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4156 + -6217?\nAnswer: -20a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043169 rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(50\/(-54)) + 35280\/(-1302)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nskkjsm. Give prob of picking 1 s, 1 k, and 1 n.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -27 + (-1 - 0) + 1. Let w = x + 38. What is the highest common factor of 99 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 4 + -9 + 2 + (1 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 32 = -6. Let j = -63 + 41. Let w = j - d. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101044*k**4 + 3*k**3 + 1094957*k wrt k.\nAnswer: 1212528*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1. Suppose 2*v + v - 27 = -3*y, 0 = -v + 6. Let z(n) = -2*n - 7. Let h(w) = w + 3. Let u(k) = -13*h(k) - 6*z(k). Calculate y*l(o) + u(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 - 2*a + 16. Suppose -4*b = -2*b. Let s be k(b). Let t = s - 13. Is t at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 8. Let u = -15077\/15 - -1005. Let m be (1\/(-5))\/(70\/(-25))*2. Which is the closest to u? (a) -0.4 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0456167 times 329\nAnswer: 15.0078943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-51)\/(-4))\/1)\/(-21*49\/74088*-27).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(4\/(-8)*3\/12). Let w(u) = u**3 - 16*u**2 + u - 14. Let p be w(n). Solve 0 = -p*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66055, -66056, -66057, -66058, -66059?\n\"Answer: -s - 66054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3)*x**6)\/(x*x*x*x\/x**6*x*x**(-5)) assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - -1)*(1 + 166\/4). Suppose -100*r = -95*r - y. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 5*t + 8. Let k be b(6). Suppose -k*z + 2 = -2. Suppose -257*a = -265*a + 176. Calculate the smallest common multiple of a and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20 + 2)*6\/9. Let l(m) = -4*m - 26. What is the tens digit of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:47 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 17 - (2 - (-1 + 4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-522)\/(-27) - (4 + (-2)\/((-18)\/(-33)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*t - 5, 2*t + 3 = -n + 8. Let v = n - 4. Suppose 0 = -2*l + 3*x - 3, 0 = l + x - v - 0. Solve 2*w + 2*i + l*i + 2 = 0, 5*i = -2*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5583126318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {a: 1, s: 2, c: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = 0. Does 4 divide 4 + -1 - k - -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 906542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:03 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -557, -165, 227?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64)\/(-3) + (-1)\/3. Let p = -4 + o. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308\/77*((-26)\/9)\/(-13)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4565746007 to the nearest integer?\nAnswer: 67570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -513204 + 5?\nAnswer: -5131dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)\/(-5) + 6\/(-83). Let r = -397\/6640 - g. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107127 divided by 2.\nAnswer: 107127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 875*u**4 + 2*u**3 + 145*u**2 wrt u.\nAnswer: 21000*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/23 - -32\/69. Let x be (10\/42)\/(150\/(-14) + 11). Let h = 8\/65 + 1\/13. Sort r, x, h in descending order.\nAnswer: x, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 77256893*v**2 - 154513783*v + 77256891.\nAnswer: -(v - 77256891)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 - -19) + 3 + 0. Let w = -7 - -19. List the prime factors of 464\/z - (0 - (-8)\/w).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from aaaqmajaxmjma.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 296+6149410551\nAnswer: 6149410847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n + 5. Let m(d) = d**3 + 7*d**2 + 8*d + 8. Let b be m(-6). Is t(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11524 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfdf when four letters picked without replacement from tddyfkftkkvd.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-110))\/((-120)\/(-132)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2599 divided by -8\nAnswer: 2599\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 14) in base 11?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -d9f (base 16) in base 15?\nAnswer: -1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 3, u: 1}. What is prob of picking 2 v and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*o + 2 + 5*o + 6*o)*(2 - 2 + 2)*(-2 + 0 + 1).\nAnswer: 24*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 96125784 * 4\nAnswer: 384503136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 28*i = 3024. Calculate the greatest common factor of i and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1327793 - 29*t + 1327793 + 117*t.\nAnswer: 88*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**3 + q**3 + 0*q**3)*(2*q - q + q) + 4*q**4 + 0*q**2 - 2*q**4 - 5*q**2 in the form t*q**2 + z + c*q + l*q**3 + p*q**4 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7745399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138 - 4*q**3 + 286 + 61 + 203 - 828*q + 420*q**2.\nAnswer: -4*(q - 103)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 1034 = 1178 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6. Let j = -2 + 3. Let n = -1.2 + 1. Which is the closest to j? (a) n (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/2)*f)\/(f*f\/(f\/(f**(-6)*f))))\/((f*f\/(f\/(f*f**(-8)*f)))\/(f*(f**(4\/5)\/f)\/f)) assuming f is positive.\nAnswer: f**(113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 181?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l + 6. Suppose 0*m = 3*k + l*m - 36, 3*k = 2*m + 56. What is the highest common factor of 112 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 102007\nAnswer: -19\/102007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 235077, 469369, 703663, 937959, 1172257, 1406557, 1640859?\n\"Answer: x**2 + 234289*x + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-2 - 2) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -6544311.\nAnswer: -6544311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 8*h**2 - 6*h - 38. Let i be f(-8). Suppose 0 = i*o - 140 + 100. Solve -11 = l + 2*s, l + 4*l + o*s = -31 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/5 - 234\/(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*k + j + 11, -5*j + 22 = 2*k. Let p = -250 - -421. Suppose -p*q + 164*q = -7. Calculate the smallest common multiple of q and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*d = 557*d - 286*d - 220 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/7, 0.4, 717 in increasing order.\nAnswer: -2\/7, 0.4, 3, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 281 - 911. Solve -5*c = -105 + q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3 = -3*k - m, 4*m - 6 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 56, 124, 218, 338, 484, 656?\n\"Answer: 13*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1128*v - 4891*v**2 - 2196*v + 1068*v to p*v**2 + b + a*v and give p.\nAnswer: -4891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126*93\/(-279)*(-5)\/15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1535257*i**4 - 2*i**3 + 7072011*i**2?\nAnswer: -36846168*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 3, x: 6, i: 3, s: 2}. Give prob of picking 1 s and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2583 - -2569. Which is the closest to 0.2? (a) v (b) -2 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2*h + h + 0 + 0 + h + (-2 + 3 + 1)*(-1 + 1 - 2*h) - h - 3 + 3)*(3*h**3 + 2*h**3 + 2*h + h**3).\nAnswer: -30*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - y + 4. Let t be f(4). Let b = t - -21. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -77. Let d = -0.8 + -0.2. Which is the third biggest value? (a) d (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*(-495)\/66*8 - (-57 + 66).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = p, -4*h = -3*p + 6*p + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 532\/115, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-33 - 0) + -1210 + 1299 + 10 + 0).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5073809 centuries to decades.\nAnswer: 5.073809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 9394.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 60. Let i = -22 + o. Let c be i\/(-1*(-8)\/(-20)). Calculate the highest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -56. What is the closest to r in -1\/3, -2\/5, -0.06?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w + 5*w + 2)*(-40510*w**2 + 1133*w**4 + 40510*w**2).\nAnswer: 4532*w**5 + 1133*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z + 12 = 0. Find the second derivative of -2*t**2 + z*t**2 - 4*t**2 + t + 4*t**2 wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/21*-5*27*4\/(-840)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19341252)\/(-7027722) - 16\/13*2\/8?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/99 and 48\/147301?\nAnswer: 1325709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/360672 and 71\/221952.\nAnswer: 2885376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21244 - 1042?\nAnswer: -22341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -900.18 + 908. Let z = 4.52 - c. What is z rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578.51 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 3. Suppose 2 = n - 3*n + 2*r, 4 = -4*n + 2*r. Let y be f(n). Suppose 4*v = -a + 20, 3*a - 36 = -5*v - 4. Is y greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -1\/3, -21, -0.1 in increasing order.\nAnswer: -21, -1\/3, -0.1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22945 and 954865?\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)*3 + (sqrt(76) - (sqrt(76) + (sqrt(76) + sqrt(76) + -3)*4)) + 4)**2 + -2.\nAnswer: -380*sqrt(19) + 2259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011 + -11000110011000101000?\nAnswer: -11000110010101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-10)\/(-5))*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -17. Is 21 a factor of 2*((-396)\/(-8) + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 12) to base 7.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 3, u: 1, m: 5}. Give prob of picking 1 d, 1 m, and 1 u.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 922?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -666*s + 4064 - 25376 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-d - d + 0*d) + 1 + 2*d - 1 + (-d + 0*d + 3*d)*(1 - 2 - 1) - d - 2 + 2 + 2*d - d + 0*d - 17*d + 6 - 6.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-15))**(-3\/16)*(o**8\/o)\/o*o*o\/(o\/((o*o**(-34))\/o)*o)*o)**17 assuming o is positive.\nAnswer: o**(-6579\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 6*b + 2. Let t be (6\/(-4))\/3*8. What is the remainder when q(t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*-2)\/(63\/(-144)*4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3 - -1))\/((-19)\/(-38))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-10)\/(-4))\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 225351681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = -4*l + 270 - 202, 4*l + 4*v = 48 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 26 - -5) + -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491729 is divided by 6430.\nAnswer: 6399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-2450)*5\/3)\/(2\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18391e (base 15) in base 5?\nAnswer: 300122204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5103499.\nAnswer: 31, 193, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-17)*y**(-29) assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*((-476)\/(-1275))\/14.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304 + 1108 - 307 - 3*j - 193 - 4*j - 304.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-4) + 1\/((-4)\/8). Let x(q) = 672*q**2 - 3*q - 255*q**y - 5*q + 10. Let w be x(4). What is w rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 187751060 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/999 and 53\/486?\nAnswer: 17982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 - 12?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34284\/17 - -366565\/136. Let n be (-1 - 0)\/2*1366. Let p = c + n. Calculate the common denominator of p and 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.44 + 14.44. Let q = g - 13.00076. What is q rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573050 is divided by 101.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 5. Let m be z(0). Suppose -6 = -10*f + m*f + 3*s, 3*f + 2*s = -4. Let q = -51.7 - -52. What is the biggest value in q, -2\/5, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352525 divided by -5\nAnswer: 70505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44344*f**2 + 3*f**3 - 18693*f + 18693*f + 44344*f**2 - 2.\nAnswer: 3*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 7. Let d = g - -10. Let q = -303 + 308. What is the third biggest value in q, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 + (2 - 24). What are the prime factors of (8\/(-10))\/(s\/575)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1720*u + 3*u**2 - 2*u**2 + 1 + 1725*u. Suppose 5*f = -2*g + 6*g + 35, -g - 5*f + 10 = 0. What is w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44745 + 104427. List the prime factors of i.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**6*j + 367*h**6 + 697*h**2*j + 4*h**2 wrt h?\nAnswer: 960*h**3*j + 44040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*(-6)\/5. Suppose 5*f = -3*w + 35, 4*f + 42 = t*w - 38. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**4 + 12*a**4 - 46*a**4)*(-a - 2*a + 4*a) - 33*a**5 + 115*a**3 + a**4 - 229*a**3 + 116*a**3.\nAnswer: -74*a**5 + a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64637214 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283537, -567082, -850627, -1134172?\nAnswer: -1417717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) -0.05 (c) -5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*d**6 - 2*d**2 - 13 wrt d.\nAnswer: -13320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-2))\/((-8)\/108). Let f = 28 - w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 - 3*t + 7. Let l(n) = -3*n**2 + n - 3. Let w(k) = k**3 - 3*k**2 + 3*k - 4. Let g be w(3). Let h(q) = g*l(q) + 2*r(q). Determine h(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178*(4 + 0)*7\/(-336)*-54?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86426, 86415, 86404?\nAnswer: 86393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44686?\nAnswer: 2, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3\/3 + 68*d**2\/3 - 24*d = 0. Calculate d.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1935 divided by -5\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.9, 23, -0.4, 5 in descending order.\nAnswer: 23, 5, 0.9, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -284 (b) -25668\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-9)\/((-153)\/(-221)))\/((-12)\/99)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 + -5 - (-19 + 21)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p**11)\/((p*(p\/p**(-3))\/p)\/p**7) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:04 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 522571177\/32 - 16331996. Let q = -1647 - g. Find the common denominator of 69\/8 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 144 = 4*j - 0*j, -14*t - 760 = -10*t + 150*j for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -345 (base 9) to base 12\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7002*q**3 + 13994*q**3 - 6999*q**3 + 0.\nAnswer: -7*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2770717 and 3.17?\nAnswer: 8783172.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -8, 0*l + 5 = 3*l + g. Is 21 a factor of (0 - 4\/(-24)*l)*362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(4 - (-80)\/(-24)). Sort -8, 3, m, 5 in ascending order.\nAnswer: -8, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623058972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.689715 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/3 - 49*y**4\/3 + 76*y**3 + 28220*y**2\/3 + 106352*y\/3 = 0. Calculate y.\nAnswer: -34, -4, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 2. Let y be s(4). Suppose 0 = -2*t + 4*x + 2, -x + 10 - 3 = y*t. Suppose 2*p = -3*z + 16, 2*p - t*z - 16 = -8*z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 2035?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1 + y - y + y. Let x(s) = -s - 1. Let b(r) = 2*r + 4. Let l(c) = -b(c) - 3*x(c). Let f(q) = -4*l(q) + 3*p(q). What is f(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-25)\/(-10))\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-9 - -3) + 0 + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 320*v**2 - 13933*v + 497. Give q(268).\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -122. Let q(s) be the second derivative of 0 + 17\/6*s**4 - s + 28\/15*s**6 + 2\/3*s**3 + 43\/10*s**o + 0*s**2. Let q(k) = 0. What is k?\nAnswer: -1, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 + 8*l + 11. Give h(-6).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/(((-8)\/(-6))\/(-2)). Let q(v) = -9*v**2 + 2*v + 3. Let y be q(x). Put -5, 5, y in increasing order.\nAnswer: y, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11*i**18 assuming i is positive.\nAnswer: i**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 193*d - 129 = -807 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55937215.2 rounded to the nearest 10000?\nAnswer: -55940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 9*d - 2. Let i be j(9). Let q(n) = 4*n**2 - 4*n - 3. Does 7 divide q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-105)\/(-6)))\/(34*(-22)\/(-22440)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9149*a + 28 = 9144*a - 18291*a, 5*l + 2*a - 33 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 57*x**2 - 1008*x - 6. Let z(d) = -21*d**2 + 336*d + 2. Give -4*a(o) - 11*z(o).\nAnswer: 3*o**2 + 336*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -7)*3\/6. Solve s*m - 2 = 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 3}. What is prob of sequence yyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -20. Suppose -n + 3*n - 8 = d. Solve n = -b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*j + 4 + 596*j - 4.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/3)*a**2)\/(a**(-2\/7)*a*a\/(a\/a**(2\/9))*a))**36)**(-2\/87) assuming a is positive.\nAnswer: a**(-200\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 17 = 189*t - 188*t, -t + 6*i - 18 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 + 4*x**3 + x**3 + (-2*x**3 + 2*x**3 + 2*x**3)*(-5 - 30 + 3).\nAnswer: -63*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r + 8. Let b(q) = 7*q - 4. What is -13*b(l) - 6*j(l)?\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/5, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by -2\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 713*l + 473 wrt l?\nAnswer: 713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 2*g - 2. Let v(x) = -4*x**3 + 11*x - 11. Determine -2*v(h) + 11*y(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 3720 - 3684 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000434006 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 969, 1361, 1755, 2151?\n\"Answer: r**2 + 389*r + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/567 and 16\/9002763.\nAnswer: 81024867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) -3 (c) -0.8162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9840.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1353.656 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808519829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -4.4\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h + 8. Let v be k(-3). Suppose p = -5*l + 297, 0*l - 1413 = -v*p - l. Suppose -5*z - 2 = -p. What is the greatest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 424*t - 1766. List the prime factors of a(64).\nAnswer: 2, 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + s**2 - 1. Let l = 6 + -4. Let v be r(l). Let y be (16\/40)\/((-1)\/v). Solve 0 = -0*a - y*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Calculate o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2\/71, 6, -77, 1, -0.109?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-17)\/(x**6\/x)*(x\/(x*x*x**(-2\/15)))\/((x**15\/x)\/x) assuming x is positive.\nAnswer: x**(-538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.251949 * -8.\nAnswer: -2.015592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4717 + 1163 = -2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 129344 = -3*v + 30*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 182\/3 + 4\/(-6). Let i = d + -29. Let n = i + 9. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 95 + 42 + 43*n**2)*(-n**2 + 2*n**2 + n**2).\nAnswer: 86*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18200 + -59?\nAnswer: 18152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3400860345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 481*k - 8. Let m be g(5). Is (-2)\/((-3)\/(m\/2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(4\/7))\/y)\/((y**(-4)\/y*y)\/y))**(-24))**21)**50 assuming y is positive.\nAnswer: y**(-111600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 3*u + 3. Let i(y) = y**3 - 2*y - 2. Let o = 129 + -133. Give o*s(m) - 6*i(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -56 + 8. Sort -3, -7, v in ascending order.\nAnswer: -7, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-99) + (-963)\/(-99) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 4:05 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 682721069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/2)\/d)\/(d*d**3))\/(d**0*(d*d\/(d**(-2\/9)\/d)*d)\/d) assuming d is positive.\nAnswer: d**(-103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539) + 5)**2 - (1*(1 + sqrt(475) - sqrt(475)) + sqrt(475))**2.\nAnswer: 80*sqrt(19) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 357 or 7\/3?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {d: 5, i: 8, j: 2, l: 1}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 3*h**4 + 4*h**4)*(0 + 0 - h) + 0*h + h**5 + 0*h.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -17*i - 2*a + 104, 0 = 2*i - a - 38. Calculate the lowest common multiple of i and 9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let v = 5879 - 5876. Solve -v*f - j*f = 5*y - 40, 3 = -4*y + 3*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -1 + 18*a + 0*a**3 - 14\/5*a**5 + 0*a**2 + 0*a**4. What is the first derivative of o(d) wrt d?\nAnswer: -56*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9000 - -36079\/4. Find the common denominator of y and 21\/3302.\nAnswer: 6604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4 - 85*h**3 + 2895*h**2 + 85*h - 2890 = 0. What is h?\nAnswer: -34, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -240730, -2 in decreasing order.\nAnswer: -0.4, -2, -3, -240730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = c + c. Suppose 0 = 3*r + 2*o + 11, 10*o + 1 = r + 6*o. Is (r - 87)\/(c\/(-24)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -0*d - 0*d - 4*f, 5*d = -73*f + 71*f - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2300627.4 and 0.4.\nAnswer: -2300627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let n(g) = -20*g**2 - 2749*g - 1. Determine x(n(p)).\nAnswer: -20*p**2 - 2749*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -32. Let x be 1\/(1 + g)*-1. Let f(l) be the first derivative of l**4\/2 + l**3\/3 - l**2\/2 + 10. What is f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 6*w - w - 12 = 0, 4*w = -50 + 38 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*m*x**2 + 6*m*x - 2*x**4 - 562529*x**2 + 3089243*x wrt x?\nAnswer: 146*m - 24*x**2 - 1125058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605302 is divided by 121050.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545796.\nAnswer: 2, 11, 57859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66129, 66128, 66127, 66126, 66125?\n\"Answer: -u + 66130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/7, 11.5, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 57\/(((-117)\/(-114))\/13). What is the second derivative of 7*w - 47*w + w**3 - 687*w**2 + i*w**2 + 0*w**3 wrt w?\nAnswer: 6*w + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t - 42. Let s(b) = 7*b + 23. Give -3*k(p) - 5*s(p).\nAnswer: p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312832?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 632*p - 592*p + 12*p**2 - 42*p**2 + 11*p**3 - 6*p**3.\nAnswer: 5*p*(p - 4)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 3 - -15 - 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120106 + -1?\nAnswer: -120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide (189\/15)\/((-66)\/(-130790))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.9519*-10\nAnswer: -259.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 5*q + 15*q + 16*q + 6 - 4*q.\nAnswer: 16*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*(-15 - 9). Let s(x) = x**2 + 2*x - 6. Let u be s(r). Solve u*o - 15 = 39*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55005454 + -45?\nAnswer: -55005543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -28*w + 168. Is 3 a factor of ((-762)\/w)\/((-162)\/(-432))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 362791*g**2 - 6*g - 6. Let r be x(-4). Let j = r + -1604674. Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z. Let a(l) = 5243321*l**2. Calculate s(a(d)).\nAnswer: 15729963*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4964781\/11 - -451345. Suppose -v*x**3 + 296\/11*x - 96\/11 + 144\/11*x**2 = 0. Calculate x.\nAnswer: -2, 2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.46 + 2.9. Let v = l + -0.04. Let i = -55\/24 - -13\/8. Which is the closest to i? (a) 0 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -a4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30187141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.334 + 4.134. Which is the smallest value? (a) 10\/51 (b) p (c) 2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w. Let s(n) = -n**2 + n. Suppose 3*v = -2*p + 7, -20 = 12*v - 17*v + 5*p. Determine v*s(j) - l(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75041714697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 m, and 1 d when four letters picked without replacement from ymmdymm.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 3489132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5255 - -2?\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 384381*l**5 + l**3 + 57*l**2 - 18*l + 7 wrt l.\nAnswer: 23062860*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 27. Suppose -5*j + d + 22 = 0, -5*j = -0*d + b*d - 16. Let n = -2 + j. Solve 3*a = 5*l + 11, -10 = -n*a + 5*l + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519.286t in grams?\nAnswer: 9519286000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 96.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/14 and -7\/1092652?\nAnswer: 7648564","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(6\/52) - 12\/18. Solve -4*d = -28 + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-91)\/(-14))\/(2\/8). Calculate the common denominator of (9\/24)\/(18\/w) and 35\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 2)*(-11*v**2 + 179 - 179)*(1 - 1 - 3*v) to the form i*v + p*v**2 + r + d*v**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507804779*i*z**3 - i*z + 2*i - 58563280 wrt z?\nAnswer: -3046828674*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 1\/5, 1\/6, -7\/4, 2\/3, 1\/11, -0.24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -23293*v + 14954108. Give i(642).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4*u)\/(u\/(u*u\/(u*(u\/((u\/(u*u\/(u\/u**(-1\/7)*u)*u*u))\/u))\/u)))*(u*u**(-3\/10)*u)\/u**2)\/((((u**(-2\/9)*u)\/u)\/u)**(-46))**43 assuming u is positive.\nAnswer: u**(-1525679\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*j - 5 - 2, 0 = q - 5*j + 16. Is -2\/21 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-3654)*(8 - 14)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2*n = 5*k, 0 = -5*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:53 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*3 + sqrt(1008))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 5\/6*g**3 + 0 - 1\/42*g**7 + 1\/12*g**6 - 5\/12*g**4 + 0*g - 27*g**2 + 0*g**5. Factor o(f).\nAnswer: -5*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 13*n**2 + 24*n - 5. Let v be i(10). Let f = v - -71. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -820, -812, -844, -946, -1148, -1480, -1972, -2654?\nAnswer: -3556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(73\/280 - 348\/1218)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2845, -559 in decreasing order.\nAnswer: 3, -559, -2845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, g: 1, v: 7, m: 1, c: 5}. What is prob of picking 2 b?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2465 in descending order.\nAnswer: 2465, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. Let g(f) = 2*f**2 - 5*f + 2. Let d be g(u). Suppose 0 = 2*k - 4*z - d, -2*k = -z + 2*z + 1. What is the highest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62680 at least as big as 338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (0 - (2 - 4)). Let s = 6 - q. Solve -p + 0*p - 4 = 2*h, s = -p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -34749732 to the nearest 100000.\nAnswer: -34700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 + 6*w - 1. Let x be f(-6). Let k = 0 - x. Suppose 2*g - 5 = -3*g. Is k less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 3*h**2 - h - 4. Let p be m(-3). Let r(o) = -3*o**2 + 2*o + 6. Let d(a) = 2 + 4 - 8 + 4 - 3. Give p*r(n) - 6*d(n).\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*f + 3)*(-f**2 - 5*f + 5*f) + 6 - 6 - 7*f**3 - 2*f**3 + 7*f**3 + 3*f**3 to the form x*f**3 + o*f + y*f**2 + g and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:28 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n + 228 = -5*x, -304 = -4*n - 5*x. Let v = -67 + n. Solve -4*q = -b - 9 - 2, -5*b = 3*q + v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -587207 (base 9) to base 12\nAnswer: -150351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7584632114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/(((r\/r**(-8\/7))\/r)\/r*r))\/((r**(-1\/9)\/r)\/r*((r*r**(4\/3))\/r*r)\/r) assuming r is positive.\nAnswer: r**(40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.1 - -8.9. Let s = 33.7 - c. Let d = -2.5 - s. Which is smaller: d or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93241, 186488, 279737, 372988, 466241?\n\"Answer: w**2 + 93244*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-12 + -6 + -4 + -7 + 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-35))**(-35)*(w**(-1\/2)\/(w*w**(-5\/6)))**(-27) assuming w is positive.\nAnswer: w**1243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179 * 1.3.\nAnswer: 232.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20990 (base 13) to base 6.\nAnswer: 1132012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d + 43*d - 12*d - 13*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q - 4. Let b be c(-4). Suppose 4*o + 2*v = 60 + b, v - 130 = -5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(30\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31282 and -31048.\nAnswer: -62330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*r**5 - 10993*r**4 + 7320*r**3 + 37180*r**2 + 2880*r - 4032 = 0.\nAnswer: -4\/3, -2\/5, 28\/97, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*r - 13, 2*z + 1 = 2*r + 3. Let b(k) = 1 - 3*k + 7*k**3 - 3*k**2 - 9*k**3 + 3*k**3. What is the units digit of b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:51 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0586? (a) -1\/3 (b) -0.3 (c) 2\/9 (d) -3 (e) -1.417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/5)))**22*(a*a**(-1\/3))**(-2\/5))\/(a**2\/(((a**4\/a*a)\/a)\/a)*(a**1\/a)**(-16\/9)) assuming a is positive.\nAnswer: a**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.97 - -11. Let x = q - -0.47. Let t be 1\/4*8\/(-6). Which is the nearest to -2? (a) x (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 1. Suppose 5*t = 3*q + i, -2*t - t = -5*q + 9. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -2 in increasing order.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/6 + 14\/(-42). Let z be (i + -4 - 16)\/(-1). What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*r + 99*r - 57 = 0. Factor -6*x**2 + 5*x**2 + 0*x**2 - 16*x + 0*x**2 - 45 - r.\nAnswer: -(x + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899106.\nAnswer: 2, 3, 13, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*u - 27*a**2 - 348*a*u**2 + 5*a + 39 with respect to u.\nAnswer: -3*a**2 - 696*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 48. Let y be ((-18)\/z)\/(3\/1). Find h such that 0 - 1\/2*h**2 + y*h + 1\/4*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 253 - -59. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.206 - 0.196. Sort p, 0.2, 5, -5 in descending order.\nAnswer: 5, 0.2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**8\/168 - 51*q**7\/35 + 149*q**6\/60 + 457*q**5\/30 - 25*q**4\/2 - 304*q**3\/3 + 2*q**2 - 65. Let l(h) = 0. Calculate h.\nAnswer: -1, 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*u**2 - 218*u - 189*u - 190*u - 4453*u**2 + 597*u.\nAnswer: -4801*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26761 or -26768?\nAnswer: -26768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 + 3*s. Let a(y) = -7*y**2 + 4*y + 1. Suppose -98 = 20*f + 22. Give f*o(k) + 5*a(k).\nAnswer: k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -466, -681, -874, -1039?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*r - 12, -r + 0*j = 3*j + 14. Let o be 3 + 1*(2 + -5). Put o, 20, r, 3 in descending order.\nAnswer: 20, 3, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 - 7*i - 4. Give t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 9 - 21. Put -7, 3, a in ascending order.\nAnswer: -7, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g - 1835 = -693 + 874 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 3750905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iziizziizi. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28523*u = -22812*u + 45688 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569.10424 minus -5?\nAnswer: 3574.10424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2*10\/4. Suppose 4*n - 10 = -u*v, -v - 19 = v - 3*n. Let y = -5 - v. Which is smaller: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 189615*l**2 - 87089850*l.\nAnswer: -5*l*(l + 465)*(l + 37458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2. Let a(p) be the first derivative of -5*p**3\/3 - 11. Give a(j(q)).\nAnswer: -45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 15*b**2 + 52*b + 40. Let h be t(18). What is the highest common factor of 23 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7054 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(3074 + 41*a - 3074) to s*a + i and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/48 and -107\/54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Let y be (-4 + -1)*k\/(-2). Suppose -5*i + 69 = -4*i + 2*m, -i = y*m - 84. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5210 + -5210. Let h be (-3)\/(2 + -5)*-1. Put -4, s, h, 2 in ascending order.\nAnswer: -4, h, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - sqrt(704)*-3)**2 + (sqrt(110)\/(sqrt(10)*-3) - sqrt(11)) - (sqrt(11) - (sqrt(825) - sqrt(33))\/sqrt(3) - -2*(2 + sqrt(11)))) + 0.\nAnswer: -sqrt(11)\/3 + 11260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/10)\/((-3)\/6). What is the nearest to 0 in 2, -1\/2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 4*g**5 - 65*g**4\/4 + 55*g**3\/3 - 5*g**2 + 24. Find y such that q(y) = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/((-12)\/(-8)))\/(46\/46). Let t = 14 + 5. Suppose 5*v = -2*p + 39, 0*v + t = 3*v - p. Solve -5*k - 18 = v, c*k + 7 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let w = 1039.17998 + -1042.18. Let p = w + k. Round p to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 6089*m - 37075921\/2 = 0. Calculate m.\nAnswer: -6089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k. Let d(n) = -n**3 + 13*n**2 - 40*n - 16. Let f be d(7). Put f, k, 5, -1 in decreasing order.\nAnswer: 5, k, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**8\/42 + n**4\/4 + n**2. Find the second derivative of g(y) wrt y.\nAnswer: 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*j**3 + 6*j**2 - j*r**2 + r**2 + 13*r wrt j.\nAnswer: -111*j**2 + 12*j - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31806 and 21882528.\nAnswer: 21882528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000033151 rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-7\/2))\/f*f*f**(-3)*(f**(2\/17)\/f*f)**(-13\/6) assuming f is positive.\nAnswer: f**(-587\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x - 4 - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - 3*v**2 - v**2)*(-5*v - v + 2*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 710999459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Product of -22335 and 0.04.\nAnswer: -893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 9) in base 14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 50. Let b be s(-11). Suppose 0 = b*f - 4*f - 4*x - 7, -3*x = 0. Solve 4*o = 3 - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -15 (c) -1 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 696 - 693. Suppose k*l = 2*t, 5*t = -0*t - 5*l. Suppose 16 = 4*p + 4*h, -4*h - 4 = -p - 0*h. Solve -6*q + 2*f = -2*q - 22, q + p*f - 1 = t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3438 and 379890.\nAnswer: 72558990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 13056?\nAnswer: 13056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (-14)\/(-6) + 4 - 2\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 577, 1327, 2375, 3715, 5341, 7247?\nAnswer: 9427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 13. Let t be i(-7). Let h(y) = -3*y + 3. Let s be h(t). What is the greatest common divisor of 147 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/492 and -55\/1312.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-62)\/(-10)*5*(-2)\/(-3). Let l = 239\/12 - n. Put 0.4, -12, -0.1, l in decreasing order.\nAnswer: 0.4, -0.1, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 8*g**2 - 141*g - 1336. What is y(-14)?\nAnswer: 1814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005202524 to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 664370 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 15) to base 7\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*o**3 - 246*o + 246*o - 4*o**2 + 3*o**2 in the form q*o**2 + b*o + d + v*o**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(405) + 0 + 2 + 1 + ((sqrt(110)*-1)\/sqrt(2))\/(sqrt(55)\/sqrt(80)) + -2).\nAnswer: 4 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 20*y**2 + 134*y - 40. Give u(-9).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 661\/2712 + -4\/113. Let c(d) be the third derivative of 1\/3*d**3 - 1\/120*d**6 - k*d**4 + 2*d**2 + 0*d + 0 + 1\/15*d**5. Factor c(g).\nAnswer: -(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 190 = 5*q, -43*o = -44*o. Calculate the remainder when 150 is divided by q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396)*-3 - sqrt(396)*1*-1)*5 + 5.\nAnswer: 5 + 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 - 22310*y**2*z + 23*y*z + z + 896453 wrt y.\nAnswer: -8*y**3 - 44620*y*z + 23*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbjjbbbbbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/15 + (-12863)\/(-285). Let g = -1596 - -1623. What is the greatest common divisor of g and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/4 (b) 2.8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33\/8 - 21\/8. Which is the third biggest value? (a) i (b) 1\/7 (c) -0.4 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-54) + (-2)\/9. Let m(o) = -o**p - 20 + 20. Let l(r) = 5*r - 4*r + 0*r. Calculate l(m(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2. Let f(g) = g**3 + 9*g**2 + 8*g - 2. Let t be f(-6). Let x(r) = t*r**2 + 1123*r - 2248*r + 1125*r. What is c(x(d))?\nAnswer: 13456*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 96829362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1374, 2746, 4116, 5484, 6850, 8214?\nAnswer: 9576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) + (sqrt(1539) - (sqrt(1539) - (5 + (-1*sqrt(1539) - sqrt(1539))))) + sqrt(1539) + (sqrt(1539) - -2*sqrt(1539)) + -4)**2.\nAnswer: 54*sqrt(19) + 13853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcccxxxx. Give prob of picking 2 x and 2 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(10)*2)\/(sqrt(32)*5).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 95*z. Let u(v) = -2*v. Calculate u(s(d)).\nAnswer: -190*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10436821 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: Collect the terms in -38*b**2 - 75*b**3 - 39*b**2 - 15 + 108*b**2 - 30*b**2.\nAnswer: -75*b**3 + b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1081132*w**3 + 332216?\nAnswer: -3243396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*s + 3 = 4*w, 5*s = w - 29. Suppose -p + 5*n + 37 = 0, 5*p + 2*n = 68 + 9. What is the lowest common multiple of p and w?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -614.08301 - 0.01699. Let x = -584 - w. Let a = x + -29.843. Round a to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403180 divided by -80636\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.00778 or 4309?\nAnswer: 0.00778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o - 140. What is the remainder when n(-26) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*(-2)\/(-30)*(-1030)\/(-309).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28\/3, 22, 5, -5?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15657 is divided by 179?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13101201131 (base 4) in base 5?\nAnswer: -442004111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127999*m + 1 - 1 - 4326*m**2 + 4328*m**2 - 771617*m.\nAnswer: 2*m**2 - 643618*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.444 + -30.944. What is the fifth smallest value in -570\/11, 3\/2, x, -2\/19, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.2. Let g = -35 - -57. Let j = g + -20. What is the third smallest value in 0.4, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 4*u)*(-6 + 4 + 1)*(-1 + 2 - 2).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**8\/1680 - z**7\/2100 + z**6\/360 + z**5\/300 + 3*z**3\/2 - 10*z**2. Let q(u) be the first derivative of n(u). Factor q(r).\nAnswer: -r*(r - 1)*(r + 1)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*a - 1, 7*a - 3*a - 4*v + 44 = 0. Suppose -5*x = -3*c + 23, -4*c + 5*c - 13 = 3*x. Let q be (-1)\/2 - a\/x. Is -2\/3 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 3*c + 2*x, c = -3*x + 4. Put -3, 4, -10, c in descending order.\nAnswer: 4, -3, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5202 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(5) + -1 + sqrt(5)) - (sqrt(125)*-1 + 1).\nAnswer: -3 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u - 5*y, -u - 4*u + 2*y = -16. What is the units digit of (1 + u + -2)*21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/7 - 124578*s**4\/7 + 3879670358*s**3\/7 + 15520051816*s**2\/7 + 2771513463*s + 7760337362\/7 = 0.\nAnswer: -2, -1, 62291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z. Let u be 0\/(-6 - -2) - 5. Let b(x) be the second derivative of -x**4\/2 + 4*x**2 + 5*x. Let v(h) = u*i(h) - b(h). Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11967\/2 + -5989. What is the second biggest value in -1\/5, 4, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 416473198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 47240*o**2 + 188900*o + 188880.\nAnswer: 5*(o + 2)**2*(o + 9444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 16. Let b be (-18)\/(-48) - 11\/8. Let a(i) = -1. Give b*t(h) + 12*a(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126492 divided by 83.\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1\/2, -0.3, -0.2, -2\/29.\nAnswer: -0.3, -0.2, -2\/29, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1337414331 and -30.37.\nAnswer: -1337414361.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1652*m - 432 = -1706*m. Calculate the lowest common multiple of 35806 and m.\nAnswer: 143224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (1 + -5 + 2). Let f = 11 + c. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 198. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*v - 20. Suppose -4675 = -5*q - 5*n + v*n, 0 = 4*n. List the prime factors of q.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24748482 is divided by 421?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 209a56 + -1?\nAnswer: 209a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.62982 meters in centimeters?\nAnswer: 6162.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3317*b - 6 + 9139*b + 1786*b.\nAnswer: 7608*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 18*g**2 - g + 23. Let v be y(-18). Suppose 11 - v = -2*u. Calculate the remainder when 59 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16823 divided by 1?\nAnswer: 16823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165147 is divided by 691.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(90))\/((sqrt(225)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37384 (base 9) in base 11?\nAnswer: -17953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30472947 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 5\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 239*f**3 - 261*f**2 + 292*f - 294. Give w(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 9*d**4 - 9*d**3 + 3*d**2.\nAnswer: -3*d**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.03 - 0.03. Let h = -110.54 - -139.546. Let o = p - h. What is o rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 886572 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.2. Suppose 0 = i - 2*i + 3*u + 14, 2*i = 3*u + 13. What is the second biggest value in g, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -47, 7, -889, -6 in decreasing order.\nAnswer: 7, -2, -5, -6, -47, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 3. Let f(q) = -q - 1. Let n(i) = -3*f(i) - y(i). Let a(g) be the first derivative of -1\/2*g**2 + 2 + 0*g. What is a(n(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 245171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -632 or -2805?\nAnswer: -2805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {d: 4, c: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -736 divided by 46?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595211.\nAnswer: 431, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.0029.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18264618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4\/3 - 34*q**3\/9 + 16*q**2\/9 + 10*q\/9 - 4\/9 = 0 for q.\nAnswer: -1\/2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhpphrh. Give prob of picking 2 h and 1 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14*h\/(h*h*h*h**(-13)*h*h)*((h**(1\/2)*h)\/h)\/h*h**(10\/7) assuming h is positive.\nAnswer: h**(335\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*f - 538784 = -2*g + 122*f, 3*g + 2*f = 808143. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 - 3 + 1 + 2*i**3)*(-31118 - 11187 - 52804 - 25635 - 12924) in the form m*i**2 + w*i**3 + n + d*i and give w.\nAnswer: -133668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5516\/(-80) + 17 + -8. Let g(p) = 59*p + 1. Let m be g(1). Let l = n + m. Is l >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638877 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n**(-7))\/(n**(-4)*((n\/n**(-1\/10))\/n*n)\/n))**(1\/43) assuming n is positive.\nAnswer: n**(-91\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*f**3 + 7002*f**3 - 8030*f**3 + 518*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -33. Suppose -5*d + 27 + m = 0. Let c = 307 - 299. Solve -d*n + c*n = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (33\/((-25080)\/(-16)))\/(1 + (-879)\/15) and -13\/1520?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534, 1058, 1580, 2100?\nAnswer: 2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, u: 1, c: 3, k: 5, i: 1}. Give prob of sequence huc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*w + 8, -3*w - 2*k = k + 21. Let l = w + 12. Solve 2 = -5*r - l*o - 0*o, 4 = -2*r + 2*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)*168\/(-8)*-1. What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -11*y**6\/30 + y**4\/12 + y**3\/6 - 124664*y**2. Let w be (-1)\/(1\/(1 + 0)). Determine b(w).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/30)\/(((-70)\/(-6))\/7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008206 to six dps.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2645 + 2643. Sort -5, 4, 137, x in descending order.\nAnswer: 137, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from ddddddddnnd?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/(22\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(6)*6)\/(sqrt(6)\/(sqrt(15)\/sqrt(5))) - ((sqrt(1088) + sqrt(1088)*1)*-5*2*5)**2.\nAnswer: -10880000 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 126 = 0. Suppose 3*a = 2*a - 2*j + 30, 2*a + j = g. Let t = a - 95\/3. Sort 0.5, 1\/5, t in descending order.\nAnswer: 0.5, t, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -1\/2*d**2 - 2*d + 0 - 1\/3*d**4 - 2\/3*d**3. Let p(s) = -11*s**2 - 11*s - 3. What is -6*p(v) + 17*y(v)?\nAnswer: -2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3476 + -3471. Suppose -27 + 3 = -4*a. Let o be a\/9 + 7\/3. Solve -14 + c = -o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-22)\/(-28) + -1). Suppose x - g = -5, 2*x + 2*x - g = -k. Is (-3 - (x + 3))*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -37. Solve m*h - 24*h - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*w - 11, 0 = -4*u + 2*w + 195 - 209. Let r = -2 - -2.1. What is the nearest to r in -5, 0.07, u?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -485. Let v = -453.7 - r. What is the biggest value in -0.3, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1804697mg to tonnes.\nAnswer: 0.0000000001804697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 15 = 7*c. Suppose -l + 3 = 2*x, l - c*l + 6 = 2*x. Solve x = u - 4 - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/21 and -29\/88816650?\nAnswer: 621716550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 27 = 5*m. Let c(y) = -y**3 - 6*y**2 + 6*y - 2. What is the remainder when m is divided by c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.99999866 - -32. What is v rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = -5*d, -n - n = -2*d + 14. Let o be 11\/1 + -1 + n. Suppose -3*u - 2 = -o. Solve 0*x + u*x = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**2 + 28268788*h - 5653758.\nAnswer: 2*(h + 2826879)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12261442 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41321 - 41320.9999975603. What is k rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2112 + 1200. Let l be t\/(-15) - -2 - (-9)\/45. Calculate the greatest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0618415 to 3 dps.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5683538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2278 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440094?\nAnswer: 2, 19, 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -2) + -7 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -180, -188, -198, -210, -224, -240?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005210276 rounded to 5 decimal places?\nAnswer: 0.00521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.727 plus -191592605?\nAnswer: -191592598.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -693b8 (base 12) to base 7.\nAnswer: -1123511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6831120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjchjchoccjchhc. What is prob of picking 2 j and 1 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) - (sqrt(162) + -1)**2*-2) - (5 + 1 + sqrt(162) - sqrt(162)) - ((-5 + 0 + sqrt(162) - sqrt(162)) + -3)**2) + 5 + 2.\nAnswer: -389 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-198)*-16)\/(2\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.513018747 + 8.513. Round j to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 - 107*s**2 + 474*s + 3672 = 0. Calculate s.\nAnswer: -4, 9, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 332360 and 1.\nAnswer: 332360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.4 + 38. What is the closest to 1 in -0.3, 15, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*f + 7429 + 8412 = -679. What is the remainder when f is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 5. Let t(h) = 3*h - 3. Calculate 5*r(z) + 8*t(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.31 + 0.31. Put 4\/11, r, -4\/7, 0.3 in descending order.\nAnswer: 4\/11, 0.3, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278481a (base 11) to base 12.\nAnswer: -1732314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + w**4 + (w**4 - 2*w**4 + 2*w**4)*(0 + 4 - 5) - 2*w**2 + 2*w**2 + 2*w**4 + 11*w**4 - 11 + 11 as j + s*w**2 + b*w**3 + y*w**4 + z*w and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -0.35, 5, 1\/6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, and 1 b when three letters picked without replacement from {l: 4, x: 6, m: 1, r: 1, b: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114117200 and 496.\nAnswer: 114117200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 2. Let w be d(-1). Let t(u) = u**2 - u. Determine t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*g = 2. Let x = 6 + g. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, -4180, 0.0762.\nAnswer: -4180, 0.0762, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*u**2 - 1369 + 74\/3*u.\nAnswer: -(u - 111)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from xxxxxxxixinnnxxxii?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b + 17. What is the remainder when 67 is divided by k(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 2*g + 5. Let m(a) = 7*a + 17*a**2 + 6 - 13*a + 8. Let s = -5 + -6. Give s*f(b) + 4*m(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 238*z**2 + 264*z**2 + 131*z**2 + (2*z - 2*z + z)*(-2*z - 4 + 4) as f + c*z**2 + w*z and give c.\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 32*a + 13341. List the prime factors of y(-33).\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1 + 51*c - 23*c - 27*c. Let i(g) = -10*g + 10. Let k(j) = -2*i(j) - 22*m(j). What is k(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329211 by -2403.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460\/(1*(1 + (-6)\/(-12))) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/149 or -1?\nAnswer: -45\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.007 in -18327, -1\/3, -3\/7, 5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(2\/136). Let a = t - 18. What is the lowest common multiple of 12 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-303)\/(-2241) - (-6)\/216*-4. What is the closest to -0.08 in -0.3, 1\/3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46\/29? (a) -1\/4 (b) 0.06 (c) 142 (d) -3 (e) 4\/7 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -28\/15369 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -128\/9*z + 20\/9*z**4 + 32\/9*z**3 - 4\/9*z**5 + 256\/9 - 176\/9*z**2 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/120 + o**5\/30 + 5*o**4\/24 + o**3\/2 - 6*o**2. Determine n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(3\/20)*(a*a*a\/((a\/a**(5\/2))\/a))\/(a*(a**(-5\/2)\/a)\/a))**23 assuming a is positive.\nAnswer: a**(14421\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 - 2*y + 10. Let g be n(-5). Let t = -27 + g. Let r = t - 24. Let s(f) = f**2 + 5*f + 5. Calculate s(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-42))\/(136\/(-2142)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.847 and -1.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 9*k**2 - 12*k - 30. Let o be m(-8). Suppose -10*f = -8*f - o. Which is smaller: f or 19\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.3, 2, 10, 0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 0 + sqrt(1539) + sqrt(1539)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 16*k + 32. Let i be g(18). Does 16 divide i*(270\/(-4) + (5 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 >= 635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117973.\nAnswer: 117973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4 + (-33)\/22. Suppose 4*c - 88 = -4*s, -2*c + 104 = 3*c + j*s. Suppose -d + c = 15. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000062451837 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367120.46 days in weeks?\nAnswer: 52445.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/20 + g**4\/2 + 17*g**2. Find the second derivative of l(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1318*c**3 + 291*c?\nAnswer: -7908*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-45) + 4160\/(-1300).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 83. Which is the nearest to 1? (a) 1 (b) d (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -676 - -987. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*p**6 + 19*p**2 + 25*p**6 - 3*p**2 wrt p.\nAnswer: 1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q + 6*q**4 + 1 - 8 + 7 wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10627, -14575, -18527, -22483, -26443?\nAnswer: -30407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6633989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172403*s*w**3 - 3*s*w**2 + s*w - s + 623*w**3 + 9874102*w**2 + 2*w - 2 wrt w.\nAnswer: -1034418*s + 3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1660890 and 70?\nAnswer: 1660890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885200 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -0.01. Let p = 120.3474 + -0.0474. Let k = 120 - p. Put k, -0.5, -1\/8, m in decreasing order.\nAnswer: m, -1\/8, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(2\/49)*z)*z**(3\/10)*(z**(2\/37))**(-6\/11) assuming z is positive.\nAnswer: z**(-137341\/199430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*b + 93, 2*b + 2*k - 67 = -b. Suppose -39 = -3*f - 0*j - 3*j, -5*f + 63 = 3*j. What is the remainder when b is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5 - 42520*f**4 - 2989664*f**3 - 67753728*f**2 - 443860992*f + 1183334400 = 0. What is f?\nAnswer: -24, 2, 10700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-411)\/(-5754)*(-1)\/(2\/(-20))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 344*n**3 - 24*n - 24. Let l = -29814 - -29790. Let t(h) = 69*h**3 - 5*h - 5. Calculate l*t(p) + 5*y(p).\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*x**5 + 7*x**2 - 117*x - 5?\nAnswer: -1400*x**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41564*k**2 + 196*k + 162555*k**2 - 196*k.\nAnswer: 204119*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13401*b - 3 - 2091*b + 3 - 2364*b - b - 5*b + 4*b + (-4*b + b + b)*(2 - 2 + 2).\nAnswer: -17862*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsssylllls. What is prob of sequence ly?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.025 - 9.225. What is i rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2724 = 20*y - 7244. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 1)*(11*n - 19 + 19) + 0*n + 0*n - n)*(6*n + 7*n - 2*n)*(0 + 0 - n**2) in the form i*n**3 + h*n + l*n**2 + s + r*n**4 and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875448590 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*z = 3589 - 460. Solve 19*i + 3*n = z*i, 2*n - 1 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and -3.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d + 42*d**2 + 2260387 - 2260387 to the form m + g*d**2 + k*d and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/((-26676)\/(-2184)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710567839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 960*g**2 - 4 + 304*g**2.\nAnswer: -656*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhhvhjvlhjjlljhhhl. Give prob of picking 2 l and 1 j.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3399*t + 642420. What is q(189)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 88*q. Let a be 28\/(-7)*(-88)\/16. Let x be t(a). Let v be (10\/8)\/(1\/4). Put x, -6, 1, v in increasing order.\nAnswer: -6, x, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, b: 6, a: 3}. Give prob of sequence abaa.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 8. Let s = k + 4.96. What is s rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 491.4005 hours?\nAnswer: 29484.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-16)\/12)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2753 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66150 = -25*y - 20*y. Let o = 2586 + y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o\/o**(-33) assuming o is positive.\nAnswer: o**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 52*s - 2. Let w(c) = c**2. Give w(a(q)).\nAnswer: 2704*q**2 - 208*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = -5*i - 8, 2*u = 2*i + 14. Let d be -2 + 4 - (-43)\/i. Do d and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4751 - -57013\/12. Sort g, -2\/399, 1\/3.\nAnswer: -2\/399, g, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)*w**(-32)*w*(w\/(w*w*w*((w*w*(w*w**(-1\/8))\/w)\/w)\/w)*w)\/(w*w*w**(16\/5)))**(4\/19) assuming w is positive.\nAnswer: w**(-1923\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-8)*(2 + 0 + 76). Suppose 5*i = 4*w - 260, -5*w = 3*i - 89 - p. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064*b*l**2*s + 22*b + 36*l**2*s + 1661*l*s + 7*s wrt l?\nAnswer: -2128*b*s + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(196)\/sqrt(7)*5)\/sqrt(4).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -324*l - 2348. Let s(d) = 59*d + 427. Let z(c) = -5*b(c) - 28*s(c). Give z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-15))\/(-5 + 260135\/52005). Let q = 332\/5 + w. Let b = 34675\/18 - 1928. Calculate the common denominator of q and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3. Let q be u(-4). Calculate the highest common divisor of q and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) + 384\/10. Suppose -s = c - 12. Let u = 4447\/3 - 1491. Calculate the common denominator of c and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*y - 1071 - 262, -2*y + 886 = 4*p. Let a = -160 + y. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/4, 0.2, 2\/9, 38, 63.\nAnswer: -1\/4, 0.2, 2\/9, 4, 38, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/11))\/u)**(-6\/7)*(u**10)**(-9) assuming u is positive.\nAnswer: u**(-6924\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110292 by 36764.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 0*r + r + (-r + 3*r + r)*(3 + 0 - 2)*(1088 + 1038 - 2273) to the form a*r + f and give a.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 12\/133, 1\/2, -169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Which is the closest to -3\/4? (a) -1 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*((u*u\/u**(-10)*u)\/u*u)\/u)\/u)\/u*u)\/(((u*u**7)\/u)\/u))\/((u*u**(-1)*u)\/u)**34)**28 assuming u is positive.\nAnswer: u**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-4))\/((-129)\/344). Suppose -y = 35 - 5. What is the smallest common multiple of (-255)\/y - 1\/i and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnn when three letters picked without replacement from {n: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:06 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 n when three letters picked without replacement from {t: 2, x: 1, q: 1, n: 6, d: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*p + g, -5*g + 145 = -4*p - 4*g. List the prime factors of ((-7701)\/(-85))\/((-3)\/p).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 1\/3*q**3 - 3\/2*q**2 - 3*q + 1. Let w be k(3). Sort w, 3, 2 in increasing order.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -208*b**3 - b**2 - 2*b. Let i be f(-1). Calculate the highest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 7.6252467.\nAnswer: 7.9252467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 9*(-7)\/(-3). Suppose -n - n = 2*y - 218, 3*y = 2*n - 223. What is the highest common divisor of p and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 10, s: 4, l: 1}. What is prob of sequence srsl?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 14 + -9 + 2 + (2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -141137248 and 46.8.\nAnswer: -141137201.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 0*t**2 + 138*t**3 + 4*t + 0*t**2 + 352 - 105 - 148.\nAnswer: 138*t**3 + 4*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 31, 0.2 in ascending order.\nAnswer: 0.2, 15, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = -8. Factor -5 + 16*h**2 + 8*h**3 - y*h**3 + 3 - 2 + 6*h.\nAnswer: 2*(h + 1)*(h + 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.4 - 205.4. Let j = s + 186. What is the closest to -0.1 in j, 2\/9, 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from eeeerwfweawcc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -138. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 47*n - 212 - 40 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*g + 4, -g - t + 0*t + 4 = 0. What is the derivative of 2 - 2*h**2 + 2*h**2 + 2 + g*h**2 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-5)\/(50\/20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**14)\/(o*o**(-3\/5)))**(-14) assuming o is positive.\nAnswer: o**(938\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*b**2 + 2*b - 167?\nAnswer: 62*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 114 + 432. Let p = 236 - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*30\/528 - (7 + 228\/(-32))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t - 3. Let m = -35 + 50. Suppose -m = -3*a + 3. Calculate c(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 859948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -934\nAnswer: 117\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 2*p + 4. Let r be c(-3). Let z be (-6)\/8 - (5 - 6). Let g = 2 + -2. What is the nearest to g in z, 0.5, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59435 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339880?\nAnswer: 2, 3, 5, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/8)\/(((-6993)\/84)\/(-37))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331101023 (base 4) in base 15?\nAnswer: -a2069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + 11*z. Let w(g) = -g. Suppose -y = 5*n - 3*y - 6, 4 = 2*y. Determine n*f(k) + 22*w(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 297513165 to the power of 1\/3, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*p + 8 + 32, -4*s = -5*p - 65. Solve -s*j - 60 + 20 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247667 (base 9) in base 14?\nAnswer: -3c93a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274 + 191306?\nAnswer: 191032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 0, 4 in increasing order.\nAnswer: 0, 4, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 433 (base 5) to base 9\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 1 - 3. Let v(y) = -2*y**3 - 80*y**2 + 260*y + 88. Let i be v(-43). Sort i, k, 0 in decreasing order.\nAnswer: i, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, -125?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-33))\/(((-1)\/1122)\/((-461)\/(-2766))).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922103.\nAnswer: 3, 257, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2781831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b**3 - b - 14. Let g(u) = 5*u**3 - 5. Calculate -4*f(m) + 11*g(m).\nAnswer: -m**3 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.5, 9, 5, -4, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -c68a20 (base 14) to base 8\nAnswer: -31456144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.96070123 to 2 dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.93 minus 1.2?\nAnswer: 9.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1251571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180520 is divided by 1842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-455))\/(9\/(-39))*((-7)\/(-175) + 0)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20260, 40518, 60780, 81046, 101316, 121590?\nAnswer: 141868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n**3 + 2*n**3)*(0 + 4 - 6)*(52*n + 129*n - 324*n).\nAnswer: 858*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*q**2 + 18*q**3 - 36*q**2)*(3*q + 5*q - 2*q)*(-q - 3*q + 2*q + 1).\nAnswer: -216*q**5 + 108*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = -5. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*z**3 - 224*z**3 + 113*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110 + 11100101000100?\nAnswer: 11100111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287 and 90391142.\nAnswer: 632737994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4229.619 millennia to years.\nAnswer: 4229619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6597, 26502, 59699, 106188, 165969, 239042, 325407?\n\"Answer: 6646*b**2 - 33*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = 2. Suppose -5*u - 34 = -4*b, -2*b - 3*u + 4 = -2. Let f(g) = 3*g**2 - 19*g + 12. What is the remainder when f(b) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 17*d**5\/60 + d**4\/6 + d**3\/3 + 189*d**2. Let u(c) = 8*c**2 + 2*c + 1. Calculate -6*o(z) + 13*u(z).\nAnswer: 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/((-2)\/5). Let p(a) = -a**3 - 4*a**2 + 4*a + 4. Let m be p(-5). Suppose m = 3*i - 0*i. Solve -i*g - w*v = 3, -4*g + 8 = g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2152906*v**3 + 11*v**2 - 135331722 wrt v.\nAnswer: -6458718*v**2 + 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221343 and 1607431.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -17\/24*g**4 + 1\/60*g**5 + 23*g**2 + 6*g**3 + 0 + 0*g. What is the lowest common multiple of x(18) and 14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -26*y. Let u(j) = j + 14. Let h(p) = p + 12. Let o(q) = 7*h(q) - 6*u(q). Calculate o(l(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 297. Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 4, 0, -3.6, -0.3, 2 in descending order.\nAnswer: 4, 2, 3\/2, 0, -0.3, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Let r(m) be the second derivative of m**3\/3 + 2*m**2 - 5*m. Let g(y) = -y - 3. Let c(w) = 4*g(w) + 3*r(w). Determine c(z(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83737 + 2*s - 83737.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -2378, -61, -4, -2 in descending order.\nAnswer: 15, 3, -2, -4, -61, -2378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 15. Let y be a(0). Let n = 25 - y. Solve r - n = 6*r - 5*f, 2*f + 16 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - 3) + -3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 28, 45, 78, 133, 216?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 7 + -7)*(-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*s - 71*s = 3762 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfa when three letters picked without replacement from ammmggmmfgfmaagmgaf.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 7461, 0, -56 in increasing order.\nAnswer: -56, 0, 21, 7461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -157495167.4 to the nearest 10000.\nAnswer: -157500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 10) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 27*r - 159. What is s(27)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*r - 3*f - 2, 2*r - f = 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28937 divided by 11?\nAnswer: 28937\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from {m: 3, u: 2, r: 15}?\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + c + 23 = 0, 15 = 3*c. Suppose -3*p = -f - 2. Let h(x) = 3*x**3 - 4*x**2 + 4*x - 4. Is h(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 20. Calculate the remainder when (-675)\/(-12) + 1\/y is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:56 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2\/4 - 843*v\/4 + 15351\/2 = 0.\nAnswer: 43, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.6, 2\/5, -4\/49?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 30916\nAnswer: -2\/7729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065384226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i**2 + 2*i)*(2*i - 6 - i - 1).\nAnswer: -2*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/15263 + -1662897\/2350502. What is the common denominator of 18\/(-3) + (16\/(-16) - 794\/(-112)) and d?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 1212?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 9*h + 21 = 0. Find the third derivative of s**4 - 2*s**3 + 0*s**h - 6*s**4 - 14894*s**2 + 15008*s**2 wrt s.\nAnswer: -120*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:36 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 2. Let a(p) = 0 - 11*p - 8 + 14 + 2. Let w(n) = -a(n) - 4*c(n). Let i(m) = -10*m**2. What is w(i(l))?\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*w + 54, 43*w = 39*w + 2*j + 156. Which is the biggest value? (a) w (b) 0.7 (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/6*x**3 + 0*x + 1\/12*x**4 + 1\/20*x**5 - 4*x**2 + 0. Let n be p(-1). Solve 2*q = -a + 7, -n*q + 3*a - 1 = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 815.4 - 819.5. Which is the nearest to z? (a) 16 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**2*k)*k*k**(-4\/7)*k**(-3\/7)\/k**(-2) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 3*a**5\/70 - 165*a**4\/7 - 384*a**3 - 16224*a**2\/7 + 4165*a. Solve v(i) = 0 for i.\nAnswer: -4, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3292*a**3*v**3 - 415*a**3*v**2 + 12*a*v**3 + 3*a*v wrt v.\nAnswer: 19752*a**3 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3683.5*-7.\nAnswer: -25784.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -307*h**5\/10 + h**3\/6 + 360*h**2 - 1239*h. What is the second derivative of x(u) wrt u?\nAnswer: -3684*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -698, -1010, -1288, -1526?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -48. Let a(z) = -5*z + 19. Let y be a(-10). Let d = k + y. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - -169 - 148 - -111?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2451*l**2 - 2450*l**2 - 1285 + 525.\nAnswer: l**2 - 760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/(-57)*(-6)\/4. Sort 11, -1, 3, b in decreasing order.\nAnswer: 11, b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3446356 (base 7) to base 4\nAnswer: -1221132121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 2. Let a be 2\/(2\/(-3))*(-4)\/6. Calculate f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, y: 3, j: 7}. What is prob of picking 1 j and 2 y?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6472152, 2\/7, 0.2 in ascending order.\nAnswer: 0.2, 2\/7, 6472152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*o - 30, 0 = -2*t - 0*o - 4*o. Suppose k = -5*b + 40, 0 = 2*b + t*k + k + 7. Calculate the remainder when 25 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*((2 + sqrt(1216)*-1 + (sqrt(1216)*-2 + sqrt(1216))*-6 + sqrt(1216))*5 + -1)**2*2.\nAnswer: 207360*sqrt(19) + 52535088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 824744 times 0.2?\nAnswer: 164948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*p = -11, -5*p + 18 = -621*i + 616*i - 2*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1417*v - 596568. Determine x(421).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.031855 rounded to two dps?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1898908*15.\nAnswer: 28483620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 13*p + 3. Let d be k(-12). Let v = d + 12. Let r(n) = -n**2 + 2*n + 1. Give r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 - (-15)\/105*511\/12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -85*h**2 - 31*h - 268. Let i be z(-23). Round i to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*2)\/(29392\/(-62458)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51847 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57328515 and -0.4?\nAnswer: -22931406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1452 by 46663.\nAnswer: 1452\/46663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 176079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3)*-11 - 2\/(-6). Let b(p) = 35*p - 17*p - 16*p - 5. Determine b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -583 + 8?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3800) - sqrt(3800)*2*1)*3)\/((-1*(sqrt(14) - -2*sqrt(14)))\/(sqrt(567)*2 + sqrt(567) + sqrt(567) + sqrt(567))).\nAnswer: 450*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i. Let r(o) = -o - 91*o**3 - 3*o**2 + 93*o**3 + 2*o**2 - o. Determine r(s) + 4*z(s).\nAnswer: -2*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*-200*(-28)\/9408)\/(-15)?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.437964l?\nAnswer: 2437.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-1\/8)\/a)\/a)**(11\/6)\/(((a\/(a*a**5))\/a)\/((a*a**(5\/4)*a)\/a)) assuming a is positive.\nAnswer: a**(99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/19 - -438\/209. Let j = 13596 + -7966. Let p = j - 140698\/25. Find the common denominator of c and p.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*j + 264, 0 = 2*j - 4*j. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-448 + 65*t + 448)*(3*t**4 - 3*t**4 + t**4).\nAnswer: 65*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176*q**2 - 110940 - 39560*q - 40*q**3 + 35*q**3 - 629*q**2 - 634*q**2 + 212*q**2.\nAnswer: -5*(q + 3)*(q + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from {n: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11613?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2*r**2 + 4*r**2 + 930*r**3 - 1023*r**3.\nAnswer: -93*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-13) + 62\/403. Determine b so that 0 + 6*b - 30*b**u - 33*b**4 + 15\/2*b**5 + 99\/2*b**3 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3160 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -189*z + 351. Let x be h(-3). Calculate the highest common divisor of x and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*b - 227*b + 11103 + 11945 = -301*b for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159739042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*m**4*s + 2*m**2*s + 7*m**2 + 526*m*s - 2*m - 2 wrt m?\nAnswer: 228*m**2*s + 4*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 6. Calculate the remainder when (-60)\/(530\/(-60) + 8) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/10)\/(8\/(-40)). Let n(o) = 8*o + 5. Let t be n(8). Suppose y + i*k - t = 0, -2*k + 70 = y + 3*k. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 5, -3, 0.5, -0.3, 6.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3114 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -4\/7*d**2 - 12\/35*d**5 + 13 - 1\/21*d**6 - 8\/7*d**3 + 0*d - 13\/14*d**4. Factor s(m).\nAnswer: -2*m*(m + 1)**2*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjeggegljnjjjhjg. What is prob of picking 1 g and 1 n?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Let l(f) = f**2 - 6*f - 3. Let q be l(5). Is 8 a factor of (z\/q)\/(3\/(-228))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9 = 4*a. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 - 355*p**4 - 120*p**2.\nAnswer: -60*p**2 - 8520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 9 = -4*d + 5*l, 0 = d + 3*l + 2. Solve 0 = -5*j + m - 3 + 5, -2*j = 5*m + d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 - 2*i. Calculate n(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18, -0.1, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 22. Suppose 25 = -l + y. Let j be (-7 - -1)\/(12 + l). Solve -2*z = w - 3, -3*z + 0*z = 3*w + j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/3, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 335*t**2 + 12*t + 11. Let c(k) = 59*k**2 + 2*k + 2. Let u(d) = 34*c(d) - 6*l(d). Let v(g) = g**2 + g - 1. Calculate u(n) + 6*v(n).\nAnswer: 2*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*a + 45*a**3 + 6*a**2 - 15*a + 0 + 2 + 16*a**3 - 21*a**3 to the form j*a + d*a**3 + l + x*a**2 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -407.146.\nAnswer: -410.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 5*g. Let l(r) = -2*r**2 + 2*r. What is -7*l(x) + 4*s(x)?\nAnswer: 2*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**5 - 57*c**4 - 371*c wrt c?\nAnswer: -140*c**3 - 684*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Suppose -2*x - 3*x = -q. What is the remainder when ((-60)\/16)\/(x\/(-4)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -20. Suppose -4*h + f = -0*f + 2, b = 5*h - f + 2. Suppose 0 = -c - 2*c. Solve p + h*p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from rkrkeuk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8716255 tonnes?\nAnswer: 871625500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c82 - -a?\nAnswer: -c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 + 5*w**4\/12 - w**3\/6 + 7*w**2\/2 + w. Let p = -89 - -164. Suppose p*b - 79*b + 20 = 0. Calculate v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35 and 14354.\nAnswer: 14319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4294 = -2*x - 6*j + 4244, 4*j = -28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -31. Suppose a*g = -m + 122, 3*g - 70 + 1 = -2*m. Suppose -g = -5*y - 5. Solve r + 17 = -3*p, 5*r + 6 + y = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*o - 12*o. Let w be -4*(2 + 33\/o). Differentiate 26 - 21*z**w + 15 - 7*z**3 with respect to z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 55. Let v be h(-6). Suppose 3*b + 197 = -17*g + v*g, -3*g - 2*b = -263. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42860233, -42860232, -42860231, -42860230, -42860229?\n\"Answer: g - 42860234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*h, 5*z + 3*h - 1773 = 0. Suppose -3*m - 2*m + 340 = 0. Suppose -2*t = m - z. Calculate the highest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -38.6. What is z rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 u when four letters picked without replacement from ououoocoououo?\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50008 and 146076.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 - (26 - 340\/12). Suppose -5*i + 31 = 1. Solve -k + i = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -0.23?\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41571831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12699?\nAnswer: 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020301121012 + -2?\nAnswer: -1020301121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60310041 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-63) + (-27)\/(-7). Suppose 15 = -h - 4*q, -r*h = 3*q - q - 10. Factor -4 + j + 0 + 1 - j**3 - 2*j**2 + h.\nAnswer: -(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2506059 and 100116?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1583 divided by 145\nAnswer: -1583\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwlllwglwdlglllll. Give prob of sequence dgwl.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000571669823 to five decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -152*f + 22979. Calculate y(151).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5827.412 kilometers?\nAnswer: 5827412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/9 - 128928*j - 18700232832 = 0.\nAnswer: -290088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*f = d - 140*f + 80, 17*f - 78 - 22 = d for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 37. Suppose 838 = 4*l - r*i, l + 2*i - 404 = -l. Let h = l + -114. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - (6 - 3))*2\/2. Let n(a) = a + 1 - 1 - 3. Give n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 8. Let u be (11 - -1)\/4 + -3. Let v be m(u). Solve -2*d + v + 1 = 3*p, -4*d = -p + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j + 1. Let p be b(1). Let x(a) = -a**3 + 11*a**2 + 11*a + 8. Let h be x(12). Put 3, p, h in descending order.\nAnswer: 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 2*f = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 622176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 698 + -650. Let z be (-6)\/8*(-16)\/2. What is the highest common factor of v and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*y**5 - y**4 + 573*y?\nAnswer: 4680*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 187322258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62568 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30810 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/16 and 13\/1384.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 26 + 0 + 2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -42 + 52. Suppose 3*v + 2*x - 36 = 0, 60 = m*v - 3*x - x. What is the remainder when v is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 40*p - 4 - 9*p**2 + 12*p**2 - 9.\nAnswer: 2*p**2 + 40*p - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2. Let c(v) = 12181*v. Give c(k(l)).\nAnswer: 73086*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20522526 or 20522524?\nAnswer: 20522524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9*p = 9*p - 5586. What is the highest common factor of 98 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233920 is divided by 745?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3295992711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y*y**(-1))\/y))\/y)\/y*y**(3\/5))\/(y**(-2\/7)\/y)**(2\/33))\/((y\/y**(-1\/2)*y)**(13\/5)*(y*y*y**(-6))\/(y*y*y\/y**6*y)) assuming y is positive.\nAnswer: y**(-2943\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*t - 118*t = -6. What is the third derivative of -24*n**3 - n**2 + 8*n - 98*n**t + 31*n wrt n?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 + -174. Let m = 1.2 + -1.2. Which is the fourth smallest value? (a) -1\/8 (b) m (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, a: 7}. Give prob of sequence fa.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 179*j**2 + 10*j + 28. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6332, 2, 0, 1, 96.\nAnswer: 0, 1, 2, 96, 6332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-708)\/(-59).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/8 - -13\/24. Let l(t) be the first derivative of -1 + 0*t + 0*t**2 - p*t**4 - 2\/9*t**3. Factor l(w).\nAnswer: -2*w**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 + 2.83. Let k = l + -3. Which is greater: k or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 83\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 33 = 9. Which is the biggest value? (a) f (b) 0.3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001000110100110 (base 2) to base 11\nAnswer: -26017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.26405+0.049\nAnswer: 0.31305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -55*u**2 + 39261*u + 6439. What is j(714)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (95 - 167) + 118 + 54\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48935 - -14.\nAnswer: 48949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 + 5*z**2 - 42. Let p(x) = -3*x**3 - 2*x**2 + 21. Determine 2*o(c) + 5*p(c).\nAnswer: -c**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057424051 to six dps.\nAnswer: 0.057424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 36 (b) 0.2 (c) -1 (d) -5 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130d6 (base 14) to base 16.\nAnswer: b6f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-1)\/(5\/(-2)). Suppose o*t = 3*t - 4*i - 8, 3*t + 5*i + 3 = 0. Let c = 23 - t. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 88246990?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/720 + t**5\/15 + t**4\/3 + 8*t**2. Let w(y) be the second derivative of c(y). What is w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 + -195. Calculate the remainder when 179 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1) + 5)\/1. Let i = -145\/6 + 49\/2. Which is the biggest value? (a) i (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 109, 586, 4, 0, -3, 2 in descending order.\nAnswer: 586, 109, 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u. Let m(w) = 3*w - 44. What is d(m(h))?\nAnswer: 21*h - 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 11942899 + 24446074 = 59*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 5*u + (-1 + 1 + 1)*(2*u - 5*u + 4*u))*(-u + 5*u - 2*u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c*c)\/(c**(-3\/7)\/c)*c**(1\/7)*c*c\/((((c**(-1\/6)*c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(535\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7\/59 (b) 0.4 (c) -5 (d) -7\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -585 - -1089. Suppose 0 = 11*b + 10*b - r. Calculate the highest common divisor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1384?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40470 and 26980?\nAnswer: 80940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 758130369*s**3 - 116*s + 2595618 wrt s.\nAnswer: 4548782214*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1249644\/66269)\/((-4)\/14)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s - 1\/15*s**5 + 0 + 2*s**3 - 4*s**2 - 1\/3*s**4. What is o in q(o) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 2637 = 7*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403 + 8*a**3 + 13 + 522.\nAnswer: 8*a**3 + 938","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/13)*m*m)*(m*m**2)\/m)**(-2\/17) assuming m is positive.\nAnswer: m**(-30\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 73.7.\nAnswer: 368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w - 30 = -30*w. Is 9 a factor of (1\/2)\/(w\/(-216))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 11*a - 15. Suppose -6*f + 39 = -a*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 348)*(-424)\/13568?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**3 - 6*x**2 + 12*x + 33. What is n(-2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 825, 818, 811, 804?\n\"Answer: -7*d + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/30*6*155\/93?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-8 - (-4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 - 184. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 9:24 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3420)\/(-1539) + 2\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*c + 251*c + 136*c + (-6 + 4 + 1)*(2 + c - 2).\nAnswer: 447*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -5 - (-4 - (-6 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 661 and -8452.09.\nAnswer: -5586831.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/15*(96 + -81).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Is c at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.864 + 21.894022. Let m = -0.01 + -0.02. Let l = m + n. What is l rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30340822*b**2 - 17749677 wrt b.\nAnswer: -60681644*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 105814*j\/9.\nAnswer: 2*j*(j + 52907)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -1179.48?\nAnswer: 2123.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4124*g - 792. Let m(x) = 1375*x + 254. Let n(s) = -7*m(s) - 2*p(s). What is the derivative of n(l) wrt l?\nAnswer: -1377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**3\/6 + 16*x**2 - 132*x. Let j be p(-5). What is the highest common factor of 90 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*w - 12 = 0, 6*w = -2*z + w - 20. Let t = 27 - 13. Suppose 3*m - 4 = -3*p + t, 0 = 3*m - 15. Sort 5, p, z.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172475*y - 24*y**3 - 6 - 172483*y - 122*y**3 wrt y.\nAnswer: -876*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Let r = 221 + -217. Suppose 0 = -5*f + 25, -r*p + 3 = 2*f - 15. Solve -p*t = y*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let x(w) = -5*w**2 + 5*w - 5. Let g(r) = -5*k(r) + x(r). Suppose c + 6*c = 7. Let y be g(c). Is y greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - h - 4 + h - 1 + 1 + (-2 + 7 + 0)*(h - h - 2*h) + 0*h - 3*h + h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d40 (base 15) to base 12.\nAnswer: -1889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-1 - -7 - 10))*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -5, 10175, 6.\nAnswer: -7, -5, 4, 6, 10175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 5*l + 2. Let h be m(4). Suppose 3*d + 72 = h*d. Let x = 59 - d. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(32) + -3)**2*-2.\nAnswer: -594 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -31. Let g = 16 - s. Solve -4*a + 18 + 2 = g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**(-3))**17*(d**4*d*d**(1\/2)*d*d)\/(d\/(d\/(d\/(d\/d**(-1\/4)))))**9 assuming d is positive.\nAnswer: d**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 16. Suppose 32 = -4*c - 0*c. Let m(g) = -28*g - 49. Let v(t) = c*f(t) + 3*m(t). What is the derivative of v(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.756 - 0.244. Which is the nearest to -0.3? (a) 0 (b) t (c) 2\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298960 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: Let s(z) = 2*z**3 - 11*z**2 + 30*z - 125. Let o be s(5). Sort o, -5, -12, -1, 3 in ascending order.\nAnswer: -12, -5, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -22400 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 7. Let n(b) = 190*b**3 + 2*b**2 + b. Let u be n(-1). Let o be (-6)\/(-39) - u\/39. Let w be l(o). Solve -v = v - w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56155.\nAnswer: 5, 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 - 5*k + 6. Let o be y(6). Suppose 2*p - 88 = w + w, -w + o = 4*p. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {r: 1, j: 2, o: 1, l: 2, s: 2, v: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*y = 4*y + 34, -2*u + 3*y = 9 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25599.75 > -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 15. Suppose -4*i + 0 = -r. Is i smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48276 and 456775443?\nAnswer: 12069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/4 - 435*s**2\/4 + 213*s\/2 + 216.\nAnswer: 3*(s - 144)*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 6*h**2 - 9*h + 10. Let r be i(2). Suppose r = -2*s - 10, -5*b + 0*s + 1035 = -4*s. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -40*n**2. Let l(d) = -2*d. What is a(l(u))?\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 5*i**2 - 3. What are the prime factors of z(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1183767 and 49\/3048?\nAnswer: 9470136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11294*q = 11268*q. Suppose -2\/17*u**4 + 4\/17*u**3 + q*u + 0 - 2\/17*u**2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 9*l + 0*l + 12*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 96632 divided by -24158\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(-86) - (0 - (-1)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/22 + (-175)\/(-55). Suppose 2*c - 900 = -3*y, -c + 457 = -5*y + f*y. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 63*i. Which is smaller: -2\/2175 or i?\nAnswer: -2\/2175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4790 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(3\/5)*w)*w**(-2\/3)*w**(-7\/3)*w**(-7))**(-24))**(2\/25) assuming w is positive.\nAnswer: w**(2784\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/85 (b) 2\/5 (c) 4 (d) -8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525652 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21904691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*c*k**2*l**2 + 2*c*k**2 - 24*c*k*l**2 + 4*c*k - 87*c*l**2 - 2*k**2 - 2*l + 414266 wrt l?\nAnswer: 328*c*k**2 - 48*c*k - 174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**8\/24 - r**7\/35 - 2*r**6\/35 - 2*r**5\/105 - r**2 - 3. Let m(o) be the second derivative of y(o). Find w such that m(w) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 480978*p**2 - 1061772*p?\nAnswer: 961956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11271832 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + (-5236)\/(-8). Suppose -4*k - 8 = -5*y, 0 = 3*k + 2*k + 10. Suppose y*c + c = r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:42 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5 - (-38)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5632 divided by -176?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66678 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(130)*-2 - (-4*sqrt(130)*-2 - sqrt(130) - sqrt(130)))\/(1*(sqrt(10) - (sqrt(80)*5)\/sqrt(8))) + 2))**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmz when three letters picked without replacement from {t: 1, n: 1, z: 4, y: 2, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 281 or 943530?\nAnswer: 943530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -42. Suppose w*l + 6*l = 824. List the prime factors of l.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from aputm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11748222.\nAnswer: 2, 3, 41, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 52. Which is the third biggest value? (a) 0.2 (b) 0.5 (c) 1\/8 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(52))**2 + sqrt(208)\/sqrt(4).\nAnswer: 2*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81225*y**4\/4 + 974415*y**3\/2 - 11682721*y**2\/4 - 20514*y - 36.\nAnswer: -(y - 12)**2*(285*y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581364213.\nAnswer: 3, 587, 330133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/((-78)\/(-120)*4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*r**4 + 36*r**3 + 327*r**2 + 90*r.\nAnswer: -3*r*(r - 5)*(r + 3)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2542, 32, -0.5 in decreasing order.\nAnswer: 2542, 32, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 1\/2*g**3 + 11*g + 0 + 17\/2*g**2. Differentiate q(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 8. What is the remainder when a(4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(sqrt(121) + -6*-2*sqrt(121)))\/((sqrt(704) + 4*(sqrt(704) + 2*sqrt(704) - sqrt(704) - sqrt(704)))*-5).\nAnswer: -39*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d + 10 = 0. Let u = -7 + d. Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 15. Let q be t(-5). Suppose q = -8*j + 13*j. Solve j*n - 5*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 2646b4?\nAnswer: 2646b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2958976*i**2 - 1479487*i**2 - 1479486*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -46, -77, -112, -151?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/22 and 107\/182136?\nAnswer: 2003496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) -1856 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -u + 5, -2*u + 19 = 126*o - 125*o for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*y - 825 = 1455 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(-1*sqrt(176) + sqrt(176)) - (-1 + sqrt(396) + 3) - (5*2*sqrt(1331)*-1 + -2)).\nAnswer: 624*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 193996815 divided by -184935\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*v - 35659 = -23867 for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (2*sqrt(171) + sqrt(171))) + -4)**2.\nAnswer: 64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j**3 + j**2 - 3*j**2 - 8*j**3)*(2*j + 0*j + 0*j).\nAnswer: 4*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -4*p**5\/5 + 68*p**3\/3 - 72*p**2 + 80*p + 27. Factor g(w).\nAnswer: -4*(w - 2)**2*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/2 + 471*d**2 + 147894*d + 15479572 = 0?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 3032 = -1495 - 1177. Do 7\/2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*n**4 + 4*n**2 - 3*n**2 - 3*n**2 - 2*n**2 in the form h*n**3 + a*n**2 + z*n + x + i*n**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1473 and 4419?\nAnswer: 4419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5.8\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -caa9a + 5?\nAnswer: -caa95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 25698?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 + -281. Suppose b*i - 376 = -c + 39, -2*i = -5*c + 2185. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (126\/30 + -4)*-2. Which is the nearest to -3? (a) s (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/2 - 151104765*o**2\/2 - 1902721211570625*o\/2 - 9513602280234375\/2 = 0. What is o?\nAnswer: -25184125, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 + 11.6. Which is the third smallest value? (a) 0.4 (b) -5 (c) y (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h + 1. Determine m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499841?\nAnswer: 61, 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)\/k)**(-35))**(-6\/19)\/(k**0*k*k**6\/k)**39 assuming k is positive.\nAnswer: k**(-4656\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + 2 - ((sqrt(32) + 1 - sqrt(32)) + 0 + sqrt(32)) - -6*(0 + sqrt(1568))**2)*4.\nAnswer: 48*sqrt(2) + 37636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(sqrt(152) + 1*sqrt(152))*-4)\/(6*(sqrt(72) - (sqrt(72)*-2 + sqrt(72) + sqrt(72)))*-4).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 - (-2 - -2). Let m(y) = 0*y + 1 + 0*y + 4*y**j - 3*y**2 + y. Let n(a) = 2*a**3 - a**2 - 1. What is m(l) + n(l)?\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 12290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/60 - o**4\/12 - o**3\/3 + 23*o**2. Let x(w) = 3*w + 3. Calculate -3*i(d) - 2*x(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:10 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnn when three letters picked without replacement from {b: 1, r: 2, w: 1, n: 11}.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -249595366, -249595365, -249595364, -249595363?\n\"Answer: g - 249595367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2\/5, -2\/123, -9\/4, 2.\nAnswer: -9\/4, -2\/5, -2\/123, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*r = 248*r - 8236. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0, -5\/2, 1.9, -2130\/13, 2, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)*q)**(-41) assuming q is positive.\nAnswer: q**(-369\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038 * -492.\nAnswer: 18.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let v(m) be the first derivative of 3\/2*m**2 + 5\/4*m**4 + 22 - 3*m + 0*m**3. What is v(h) + 3*z(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 + 12*v + 1. Let h be i(4). Calculate the greatest common divisor of 25 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1033 by 23855.\nAnswer: -1033\/23855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*l = 5*l, 3*l - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 111*l - 196. Let z(j) = -48*j + 98. Determine 3*p(h) + 7*z(h).\nAnswer: -3*h + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21983905.\nAnswer: 5, 4396781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009775405 to six decimal places.\nAnswer: -0.009775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1070 times 0.06736\nAnswer: -72.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 7) in base 13?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4 + 28850*j**3\/3 - 57748*j**2\/9 - 192376*j\/9 - 25648\/3 = 0?\nAnswer: -4809, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*f + 10, 3*m + f + 0*f - 16 = 0. Suppose 0 = 2*d + m - 4. Let j = d + 16. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 3 (c) -3\/4 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Let s be (-12 - -8)\/((-5)\/355). Let b = -274 + s. Put b, -3, i in ascending order.\nAnswer: -3, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/4 - 6781941*h\/2 + 94947321\/4 = 0. Calculate h.\nAnswer: -4521301, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -681942 greater than -681942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -2.6. Let p = -1 - 0. Let o = 77.34 - 77.04. Which is the second smallest value? (a) p (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 - 9*g + 8. What is the tens digit of k(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1516911*s**2 - 3033948*s**2 + 1517037*s**2 - 10*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287589\/4 + 71900. Suppose -3\/4*o + m*o**2 - 1\/4*o**4 - 5\/2 + 3\/4*o**3 = 0. Calculate o.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-6)*32\/(-56)*(0 - 1953\/(-90))\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27 - 1) + (9 - 11). Let f be (-20)\/(b\/(-24)*4\/(-10)). Let j = 61 - f. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 0 - (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -62, -61, -58, -53, -46?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448326411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 670?\nAnswer: -7\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7 = -15. Suppose 6*p - b*p - 17 = -s, 13 = -4*p + 5*s. Put -0.2, p, -1\/9 in decreasing order.\nAnswer: p, -1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - r**3 + 5*r**3)*(r - 5*r + r + (4 - 3 - 2)*(2*r - 5*r - 3*r)) in the form j + a*r + m*r**4 + f*r**3 + b*r**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1805, 3856, 6381, 9620, 13813?\nAnswer: 19200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((-6)\/64*-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9881*u - 1647*u - 113678 = 750892 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -47.06.\nAnswer: -235.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 25*m + 1 = 5*g, 0 = m + g - 1. Let i(c) = -53*c**3 + c**2 + 1. Calculate i(m).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 909 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -569.\nAnswer: -3\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118790 and 3?\nAnswer: 356370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 1752135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 11*v + 22*v - 304 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20215 and 3110.\nAnswer: 40430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12716771.56174 and -0.32.\nAnswer: 12716771.24174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 8. Let x be 2\/(-4)*(-12)\/y. Let l be -2*((-3)\/x)\/(-4). Which is the nearest to l? (a) 2 (b) -1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/156 and ((-8)\/(-156))\/((-7)\/((-12726)\/48))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-306)\/85)\/((-18)\/(-107040)*-4).\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 15*x - 8. Suppose -r = 4, 2*r + 28 = x*c - 3*r. Is 18 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 400. Let i = z - 262. Let x(v) = -2*v**3 - 2*v**2 - 5*v - 4. What is the remainder when i is divided by x(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 18. Let p = t + 1. Let k = -21\/2 + 11. Put 1, k, p in decreasing order.\nAnswer: 1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 - 634 = -101*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53284 and 3114?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1847, -1852, -1869, -1904, -1963, -2052, -2177, -2344?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.58 + 51. Let f = x + 0.08. Let q = 29\/105 - -2\/35. Sort f, q, -3 in descending order.\nAnswer: q, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 <= 178\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 15*r - 5. Let u be f(15). Let h be (-3776)\/(-40) - (-2)\/u. Let k(a) = h - 2*a - 89 - a**2 + 2*a. Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050253.\nAnswer: 4050253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6359 is divided by 6315.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 7}. What is prob of sequence kk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 337 = -6*n + 3*m, -3*n + 199 = -m. Let a = 73 - n. Suppose 0 = 5*y - 5*w - 590, 5*w = w + a. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a - 9. Let y(p) = -12*p + 9. Give 6*q(b) + 7*y(b).\nAnswer: 6*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15391299 and 693.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let t(h) = 4*h - 4*h + 7*h**m. Let b(j) = -23*j + 2*j**2 + 23*j. Calculate t(b(p)).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 257, 509, 761?\n\"Answer: 252*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -l + 6*l. Suppose -2*n + l = 2*n. Suppose n*f - 5*h = 114, 0 = -h - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*(-168)\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + r - 3. What is j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 3, j: 2, l: 2, w: 7}. What is prob of sequence al?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s - 3. Let y be 5\/150*6 + (-21)\/5. Determine g(y).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.649 to 1 decimal place.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**6 + k**3 + 1. Let f(t) = 2*t**6 - 3*t**3 + 3*t**2 - 3. Let j(v) = -2*f(v) - 6*y(v). Find the third derivative of j(p) wrt p.\nAnswer: -1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from {o: 1, a: 2, w: 6, c: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-49)*20832\/4464.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -110, -124?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258195545.\nAnswer: 3, 5, 37, 331, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482436 is divided by 160436.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0, -28 in decreasing order.\nAnswer: 16, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = u - 6027, 0 = -r + 203*u - 204*u + 3016. What are the prime factors of r?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -149, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16385 - -16391. Solve 0*d = -z*d + 48 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6254 - -6254. Factor c + 1\/4*j**2 + 1\/4*j.\nAnswer: j*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4347 - -4351. Let g(v) be the second derivative of -1\/20*v**5 + 0 - 1\/3*v**3 - 20*v - 5\/12*v**n - 5\/2*v**2. Determine g(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 7. Let y(m) = -14*m**2 - 5*m - 4. Let k be y(-2). Let l = k + 41. List the prime factors of d(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50362434 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 10*o - 4*o - 3*o. Suppose -5*y + 22 = 2*n + 2, 0 = -2*y + 2*n - 6. Let l(d) = -y*d**2 + d**2 - 7*d**2 + 2*d**2. Determine l(x(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 = 30296*u - 30265*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -12*s**5 + 164*s**4 + 1384*s**3 - 7376*s**2 - 13024*s + 11520 = 0.\nAnswer: -8, -2, 2\/3, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1))\/((-9)\/(-117)). Let t = 72 - c. Let h = t + -853\/14. Calculate the common denominator of 97\/20 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2348\/10*10*1\/4. Let n = -4097\/7 + f. Let i(o) = o**3 + 7*o**2 + 7*o + 9. Let s be i(-6). Which is greater: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11)*(-2 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 244\/93203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(170) - ((sqrt(170) - (2*sqrt(170) + sqrt(170))) + sqrt(170)) - sqrt(170)) - sqrt(170))*-3)\/(sqrt(20)\/sqrt(3200)))**2.\nAnswer: 2203200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) -5\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 2791090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3276 by 63.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5*6\/((-60)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2. Let h(q) = 138321610*q**2 - 86415*q - 28805. Let p(o) = -28811*o**2 + 18*o + 6. Let k(r) = 6*h(r) + 28805*p(r). Calculate k(y(d)).\nAnswer: 115220*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/16*(12 - 0). Let n(o) = o**2 - 5 + 4 + 4 + f*o. Let t be n(-4). Calculate the highest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-9) + (-2)\/(-3). Let p be (0 - 0)\/(z\/(-1)). Suppose o = 29 - p. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let g(m) = -m**3 + 4*m**2 + m - 4. Let i be g(4). Let d(n) be the first derivative of -2 + i*n**3 - 8*n**3 - n**3 - 18. What is a(d(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/60 + x**4\/6 + x**3\/6 + 2*x**2. Let d = -25 - -47. Calculate the remainder when d is divided by w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = -3*g. Let h be (-6)\/9 - 16\/g. Solve -3*k = -4*t - 4, 2*t + h*t + 4 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*b + 132*b = -120*b - 884 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-150)\/240))\/(2\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 - 99*q**2 - 197*q - 456. Give b(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 129, 262, 395?\n\"Answer: 133*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12 + 18*t**2 - 3 - 20 - 44*t**2 + 14 - 4*t. Give x(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*u = 11*v - 49, -6 = 3*u. Solve 0 = -v*k + 11*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38148881 divided by -166589.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**3*u**2 + 3*m**3 - m*u**5 + u**2 + 35*u wrt u?\nAnswer: 12*m**3 - 20*m*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -2.6. Let r be 3*(-2 + (-1276)\/12). Let u be (-2)\/(-13) - 80\/r. Which is the third smallest value? (a) m (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16c + -4?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let k = 0 + v. Suppose 13 = -k*f + 37. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 8*x**2 - 9*x + 11. Suppose -5*m + 4*m + 8 = 0. What is the remainder when y(6) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 25 = -5*g, 0*g - 4*g = -2*k - 8. Suppose k*b = 7*b. Suppose -4*l - 20 = -3*x + x, b = x + 2*l + 6. Solve x + 2 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**3 - n**3 + n**3)*(-6 + 3 + 1) + n**3 - n**2 + 6 + 14984*n - 2*n**3 - 14995*n to the form c*n + h + x*n**2 + m*n**3 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 82*n - 48. Let i be f(-28). Let h be 4\/(-2) - (-24)\/i. Let l be (-3)\/1 + 0 - 2. Which is the nearest to -1\/3? (a) h (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/42 + 10*q**3\/21 + 3*q**2 + 44*q - 82. Let i(w) be the first derivative of m(w). Find u such that i(u) = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7089990*i - 20. Let s be a(2). What is s rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 4)*(-4)\/(-10). Let t be u\/4*(-2 - 0). Let h be 0 + t*(-1)\/(-6). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 - 3198*l**4 - 573873*l**3 - 570678*l**2 = 0?\nAnswer: -838, -227, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 4}. What is prob of sequence ddd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380193*w + 80340 = 1381223*w for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 14*h - 12. Let c be l(15). Solve i + 4 = c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9066940 and 1860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(u*u**3)))\/u*u)\/(u\/u**(-27\/4))*(u**1)**(1\/4))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816513039?\nAnswer: 3, 373, 243227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/5 + s**5\/4 + 130*s**3\/3 + 384*s - 1. What is the second derivative of l(g) wrt g?\nAnswer: 72*g**2 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((75\/(-18))\/5)\/(4955\/(-49550))*12\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48044, -48049, -48054, -48059?\nAnswer: -48064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**2*v**3 + d**2*v + 50*d*v**2 + 44*v**3 wrt v?\nAnswer: -18*d**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1760, 1697, 1640, 1589, 1544, 1505?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -86, -167, -248, -329?\n\"Answer: -81*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190627 is divided by 958.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 + 1832*d**2\/7 - 7302*d\/7 + 5472\/7.\nAnswer: -2*(d - 912)*(d - 3)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -945*a**2*p**2 - 152*a**2*p - 9115*p**2 + 4*p - 5 wrt a.\nAnswer: -1890*a*p**2 - 304*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 947 + 1753. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088870 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5\/3 + 4978915*q**4\/3 + 1239477239395*q**3\/3 - 1239487197235*q**2\/3 - 413159079800*q + 413160739440 = 0. Calculate q.\nAnswer: -497892, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110445750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99\/28 + -13\/4. Sort u, -0.3, 6\/7, -4 in decreasing order.\nAnswer: 6\/7, u, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 11. Which is the nearest to -11\/5? (a) 0 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9\/7)\/q**(-16))\/((q*q**4)\/(q\/(((q*q*q*q*(q**(-2\/7)*q)\/q*q*q)\/q*q)\/q))) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*d = 819*d - z - 5, 3*z + 3 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:03 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*z = -10, -4*h + 4 = -3*z + z. Solve h = -x - x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 5717*h + 34257. Determine t(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 2 q when four letters picked without replacement from kkcqqwx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 294 + 9. Let z = 144 + o. Calculate the highest common divisor of z and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let o(c) = 15 - 15 + 3*c. What is o(n(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 260642674*f*g**3*z - g**3*z - 4*g**3 + g**2*z + 990*g*z - 2*g + 1046*z wrt f?\nAnswer: 260642674*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-71 + (19 - -58) + -33)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.39 + 4.39. Let i = -0.1 - 0.1. Let w = 47\/2 - 24. Which is the third smallest value? (a) w (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 4*b + 24, 5*a - 3*b - 25 = 0. What is the units digit of (-12)\/8 + 95\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/51072 and 139\/141696.\nAnswer: 18845568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.8 - 7. Let x = -1.5 - z. Let m be ((-2)\/3)\/(1 + 0). What is the third smallest value in 0.15, m, x?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/13)*v**0*(v**(1\/2))**3 assuming v is positive.\nAnswer: v**(35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1584) + 1) + sqrt(1584) + -5 + (3*sqrt(1584)*-1 + sqrt(1584) - sqrt(1584))*-1 + -3)**2*3.\nAnswer: -2520*sqrt(11) + 232923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -4. Let g(s) = -5*s + 26. Let h(x) = 5*x - 25. Let d(o) = 4*g(o) + 3*h(o). Let v be d(i). Is v greater than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o - 12*o**3 - 2*o**4 - 1 - o + o + 5*o + 2*o**2 to k*o**2 + y*o**4 + r*o + m*o**3 + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 7, o: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.1082 + 0.0082. Let o = d - -47. Let s = o - 0.9. Which is the third smallest value? (a) s (b) -0.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - -62. Suppose -5*q - h = -5*x - 0*q, 4*x = -4*q + 120. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55628 times 0.2?\nAnswer: -11125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.113 and -0.9.\nAnswer: 0.1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*t - 125*h - 166*t**3 - 4 with respect to t.\nAnswer: -3*h - 498*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*l - 37 = -7*d, 4*d + l - 55 = 0. What is the remainder when 25 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**3 - 5*m**2 - 5*m - 31. Let z(b) = -3*b**3 + 2*b**2 + 2*b + 16. Suppose w = 14*t - 15*t + 7, 9 = t + 2*w. Calculate t*z(c) + 2*u(c).\nAnswer: -3*c**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f. Let x(v) = -16429639*v. What is x(h(c))?\nAnswer: -49288917*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1, 62, 0.4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 90 = 12*n. Suppose -b + n = -1. Calculate the lowest common multiple of (28\/12)\/((-1)\/(-3)) + 2 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*i - 10, -n - 4*i + 4 = n. Let a = 8 - n. Suppose 2*w + v = 45, -a*v + v = w - 45. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 2 (c) -1.9 (d) 1 (e) -0.108\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.94 - -0.68. Let j = o - 1.52. Let t = 0.6 + -0.7. Which is the smallest value? (a) -0.2 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32564.5 millilitres to litres.\nAnswer: 32.5645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 + 8*a. Let c(r) be the second derivative of -1\/2*r**3 + 2*r + 0*r**2 + 0 - 1\/20*r**5 + 0*r**4. Let i(m) = 11*c(m) + 4*o(m). Factor i(j).\nAnswer: j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/7 - 30532*q\/7 - 122096\/7 = 0. What is q?\nAnswer: -15262, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - p - 4*p + 1632 = 0, 5*p = 5*i - 2040. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -43*r - 6. Let s(y) = 153*y + 25. Let i(q) = -7*d(q) - 2*s(q). Let j(w) be the first derivative of -w**2 - 1. What is i(j(l))?\nAnswer: 10*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2 + 3*(-3)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.111 rounded to 2 dps?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*v + 4 = 0, 3*o = -0*o + v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5885807 - 8478924.\nAnswer: -14364731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31883, -63761, -95639, -127517, -159395?\nAnswer: -191273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 551?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -413*a + 1236*a - 409*a + 9 - 409*a. Let u(k) = -6*k - 10. Calculate -4*r(z) - 3*u(z).\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-36456)\/(-756) + (-8)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y**2 + 7*y**2 + y**4 + 2*y + 2*y**2 in the form m + d*y**3 + a*y**4 + w*y**2 + k*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1891*q**2 - 1338*q + 671*q + 667*q)*(-5*q**2 + 3*q**2 + 4*q**2) to i*q**3 + z*q**4 + c + k*q + h*q**2 and give z.\nAnswer: 3782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1859*w - 1948*w - 89 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose -4*d + 10 = -2*d, j*d - 40 = -5*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -751? (a) -5 (b) -3 (c) 3139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2\/45*k**5 - 1\/9*k**4 - 4\/27*k**3 + 2\/9*k + 1\/9*k**2 + 1\/27*k**6 - 2. Factor p(z).\nAnswer: 2*(z - 1)**2*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24))\/((-15606)\/(-22032)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152444241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 12*o**2 + 14*o. Let g be k(-10). Suppose -8 = n - 2*s - 39, -3*n - 5*s + g = 0. What is the highest common factor of 200 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105.3083 + 0.1083. What is u rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-111)*((-48)\/(-30) + -4). Let c = s + 1354\/11285. Is 1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -0.27, -24, 1, 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-48)\/(n**(2\/13)*n**8) assuming n is positive.\nAnswer: n**(-1354\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -2.3?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (465\/(-62))\/(6\/(-88)). Let y be (-1)\/3 - (-447)\/(-9). Let z = a + y. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/42 - -163\/210. Let n = s + -19\/30. Which is the third smallest value? (a) 2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 4*g + 2*g)*(111 + 74 - 84 + g) to the form w*g**2 + l*g + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from oddy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -13. Let y(v) = v**3 - 5*v**2 + 2. Let l be y(5). Let z be 1*l*(-3)\/60. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 - 344*i**2\/5 - 1352*i\/5 - 1344\/5.\nAnswer: -2*(i + 2)**2*(i + 168)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 78 = 4*f, -4*f + 2*g = -2*f - 36. Suppose i = x + 28, -2*i + x + f = 6*x. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2533 + 5196. List the prime factors of o.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. Suppose -4*n = -3*n + 1, w*s - 2*n - 136 = 0. What are the prime factors of s\/2 - 15\/(-30)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f7 + -13d4?\nAnswer: -16cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 450896 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(2\/5)))**(-6\/29)*(z\/z**1)**(1\/7))\/(z\/(z*z\/(z\/(z*z*z**(-4\/7)))*z)*z\/(z\/(z**(9\/4)*z*z)))**(-7) assuming z is positive.\nAnswer: z**(7443\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*o - o = 2, -l - 18 = -5*o. What is the third derivative of c**3 - 32*c**2 + 27*c**l + 1 - 1 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*w - 50, r - 3*w - 2 = -0*r. Suppose -8 = 2*i, -4*o + 0*i + 104 = 3*i. Let x = r + o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:07 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207 + 620\/3. Let i be 36805\/(-118020) + 3\/9. Let q = -4\/281 - i. Is q < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 756 + -409. Suppose 2*i = -67 + b. What is the highest common divisor of i and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118463 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-2*(-28)\/84?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -14*u - 250\/7*u**5 + 1150\/7*u**4 + 6\/7 + 572\/7*u**2 - 1380\/7*u**3 = 0.\nAnswer: 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 32. Suppose -3*g = y - 2 - n, 3*y + 2 = -g. Let s(b) = b + g*b - 7*b - 7. Let i(d) = -d. Calculate i(s(v)).\nAnswer: 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n - 5. Let f be j(4). Suppose -4*h = 5*b - 3*h - 91, -b - 5*h = -f. Calculate the greatest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10494, 20889, 31150, 41241, 51126?\nAnswer: 60769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/81229200 and -49\/1300.\nAnswer: 81229200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21182 - 63559 + 21192 + 21185 + 13*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nappkanaapkaaak. What is prob of picking 1 a and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100010011111110 (base 2) in base 3?\nAnswer: -1012112021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273533707 and 19083747.\nAnswer: 820601121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -447566965797 plus 0.38?\nAnswer: -447566965796.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 2. Let z be i(-13). Let t = z - -17. Solve w - 3*w = -t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 - (-5 - (-1 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = -40*c + 15*c. Let a be 2\/(-10) + c\/(-10). Solve 3*q + 9 = 3*z - 0*z, a*q + 13 = 5*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 16.9952. Let o = -0.002 + w. What is o rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.5527 millimeters in nanometers?\nAnswer: 881552700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 - -387. What is the common denominator of -17\/18 and (1 - p\/(-8)) + -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 4 - 0) + 43 + -367 + 363\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -9*j + 923. Is 0.1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i. Let j(l) = 3*l**3 + 2*l**2 - 7*l + 2. Let s(m) = -3*j(m) + 12*p(m). Factor s(g).\nAnswer: -3*(g - 1)*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 563327613 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**2\/2 + i. Let p(x) = x**2 - 3. Give 3*f(r) - p(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/(-9)*(-2 - 1). Let m = s - -73. Suppose 0 = -2*w, -6*w + 68 = 4*y - 2*w. What is the remainder when m is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1)\/(1\/(-9)). Let n = w + 11. Suppose 4*z = -z + n. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + 5*v**2)*(98*v**2 - 85*v**2 - 95*v**2 - 154*v**2).\nAnswer: -1180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 267 - 1063\/4. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1817 divided by -79\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0 + 0)*(26 - 26 - 6*o) + 16*o**2 + 3*o - 3*o to p*o**2 + d*o + f and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*h - 2*c + 7*c, 2*c = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/(20\/(-8) + 4). What is the common denominator of 4*(-2)\/k + 69\/(-76) and 39\/7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5713.788cm to micrometers.\nAnswer: 57137880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001011011100001001100 (base 2) to base 5.\nAnswer: -11304122042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x - 5*x + 2*x**5 - 4*x - 1 - 4*x**5. What is the first derivative of b(j) wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-20))\/1 + ((-170)\/(-25) - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 287, 121, -13 in decreasing order.\nAnswer: 287, 121, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17118, -17086, -17056, -17028, -17002?\n\"Answer: -h**2 + 35*h - 17152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a3 - 3c?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 1 - 5. Let y(n) = 17*n**2 - 649*n + 257. Let q be y(38). Is 8 a factor of -5 + w\/(1\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + (2\/2 - 1). Let p(r) be the third derivative of -r**4\/24 + r**3\/2 - 8*r**2. Let f(k) = 2*k - 5. Determine u*p(c) - 6*f(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 1. Calculate w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t**3 - 6*t - 131. Let g(j) = 35*j**3 + 19*j + 392. What is 19*a(f) + 6*g(f)?\nAnswer: f**3 - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -5*j**6\/72 - 13*j**5\/24 + 5*j**4\/4 + 2*j**3 - 32. Let a(d) be the third derivative of y(d). Suppose a(m) = 0. Calculate m.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (2 + 0 + 7)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9237.02 - 9237. Which is smaller: a or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppnpppppppppppn. What is prob of sequence np?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 20\/(-6))*-129. Suppose -r = -3*b - b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (112 + -99) - -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-75))\/(2*(-87)\/20)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {l: 4, e: 8, r: 8}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z*z**(1\/9)*z)\/z)\/z))\/(z\/z**(-31))*(z**1*z)\/z*z**(-2\/11))**(2\/85) assuming z is positive.\nAnswer: z**(-5998\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-15)*18*(-2)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufafyafbfybblufbbfy. Give prob of picking 2 y and 1 l.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/(sqrt(12) + sqrt(24)\/sqrt(2) - sqrt(12)))\/sqrt(5) - (-1 + sqrt(33)\/sqrt(3) + 1 + sqrt(11) + -4))**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 4, q: 1, y: 1, c: 2, h: 3}. Give prob of picking 1 h, 1 d, and 1 q.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/17)\/(g*g**(4\/9)) assuming g is positive.\nAnswer: g**(-203\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 2. Let r be k(5). Let a(c) = c**3 + 2*c**2 - 8*c - 15. Let w be a(4). Let o = w + r. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 2}. Give prob of picking 2 c and 2 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Suppose -4*g + 4 = -2*g. Let p(i) = 11*i**g - 27*i**2 + 14*i**2. What is x(p(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -16275\nAnswer: -1\/16275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2 - 173*i - 42. Let w be a(-17). Solve -o + w = -2*j - 1, j = 2*o - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 17724?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t)**(-1\/13)\/(t\/(t*t**0))**4)**(-35) assuming t is positive.\nAnswer: t**(175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(-3 + 4 - 2)*(-8*a - 2*a - 9*a).\nAnswer: 76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2088546 divided by 3522\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*3*((-16786)\/990 - -17)*-48.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 89183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4798 + -54?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1471 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/20 + 2\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -39. Let j = 65 - n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 5 + 1 + 6*u - 3*u**2 - 2*u**3 - 2*u - 9*u. Let y(a) = 4*a**3 + 5*a**2 + 5*a + 7. Let c = -4 - -9. Calculate c*d(g) + 3*y(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4fa (base 16) in base 15?\nAnswer: 59e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:00 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 614\/21 + -206\/7. Sort 2, 5, z, 3.\nAnswer: z, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, 2585.\nAnswer: -24, 5, 2585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 1. Let h(z) = -z**2 - 5*z + 5. Let b be h(-5). Let n(k) = -4*k - 3. What is b*w(i) + 2*n(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 1, n: 2, h: 4, i: 2, k: 4}. What is prob of picking 1 r and 1 h?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7109803, -7109798, -7109791, -7109782, -7109771, -7109758?\n\"Answer: a**2 + 2*a - 7109806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(-4 + 2*z**2 - 3*z**2 + 3).\nAnswer: -z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-17)\/(-85)*165)\/(1 - 3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 29*x**2 - 24*x + 124. Let w be u(-28). Solve w*v = -2*v - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30998336 and 3776.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 247. Let f be o(0). Let m = f - 135. Suppose 7 = q - m. What is q rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from {h: 2, w: 3, e: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x + 5*z + 1428515 = 0, -3*z = 9. Round x to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102221 (base 3) to base 10.\nAnswer: -3238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 32 = 19*k. Let b be (6\/(-192)*28)\/(2\/k). Solve -b = 2*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -181 and 55569917.\nAnswer: 55569736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202071071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62542820 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996357?\nAnswer: 11, 97, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 9. Let t(r) = -r**2 + 8*r + 30. Let c be t(-4). Let s(x) = -x - 2. Let z(y) = c*s(y) + 4*n(y). Let d(f) = 55*f. Determine d(z(o)).\nAnswer: -110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -216, -384, -592?\n\"Answer: -20*s**2 - 68*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0*t + 4 + 3*t**2 + 0*t**6 + 1\/12*t**4 + 1\/12*t**5 + 0*t**3 + 2\/35*t**7. What is the second derivative of z(j) wrt j?\nAnswer: 144*j**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -19633000*s. Let d(v) = -10877*v. Give -5416*d(l) + 3*q(l).\nAnswer: 10832*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - 10*(-4)\/8. Let j be 2 - 3*(2 + c). Suppose j*q - 5*p - 620 = -p, 580 = 5*q + 4*p. Is q a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 30 + 8*v - 22 - 2*v + 61. Does 11 divide z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 10*d**3 + 6*d + 0*d**3 + 28*d**3 + 39 - 16*d**3 to u*d + y + h*d**3 + q*d**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 9*m**2 + m + 14. Let o be h(-9). Solve 3*q - 4 = -w - 0, -8 = -o*q - 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/100 + (-65)\/25)\/(2\/11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 92*o**3\/3 - 139*o**2\/2 - 675. Find the second derivative of u(t) wrt t.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a3 + 41db?\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*z + 17, 4*z - 11 - 19 = 2*m. Does 9 divide (-7)\/(z\/(-108)) - 36\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c + 381 = -11 + 150 - 183 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6057928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v - 3. Let j be ((-20)\/(-3))\/(-4)*-3. Let o be q(j). Suppose 2*x = -o*x + 108. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24757, 49388, 73981, 98536, 123053?\nAnswer: 147532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4 - 3*i**3 - 9*i**4 + 5*i**3 = 0. What is i?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60\/529 or 8\/3425?\nAnswer: 8\/3425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/(-455)*(224 + (0 - 77\/(-7))).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 1. Suppose -4*d - 5 = d. Let k(a) = a**3 + 7*a - 1. Let t(q) = q**3 + q + 1. Let l(u) = d*k(u) + 4*t(u). What is l(p) - 5*w(p)?\nAnswer: -2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 + 3*o - 2*o**2 - o**3 + 0*o**2 + 4. What is the remainder when 11\/(110\/(-128))*-5 is divided by i(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-49))\/((-186550)\/8036)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -5*o**3\/3 + 5*o**2\/2 - o. Is g(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5 + 5. Let w = z + -9. Let k(n) = -n**3 - 6*n**2 + 3*n - 6. What are the prime factors of k(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31088 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62664 is divided by 121.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 = -7*t. List the prime factors of 20 - (-1 + t + 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = -2*w, 3*w = -3*c + 24 + 12. Calculate the remainder when 22 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -954315 divided by -3\nAnswer: 318105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 5*s**2 + s - 4. Let o be c(4). Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438426 divided by 146142.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - f**3 - 3*f**3)*(419*f - 447*f + 1 + 355*f).\nAnswer: -654*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 10*v + 10. Let u be f(12). Let s be ((-6)\/20)\/(7\/u). Which is the smallest value? (a) s (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - -12 - (5 + 3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - 0.2. Let d = n + 2.95. Let k = -2 + 2.2. Which is the closest to k? (a) -1 (b) 3\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 2. Let x be i(-3). Suppose -x*m + 5*m - 2 = 0. Suppose -m*s = -6*s + 56. What is the remainder when 40 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.332 to 1 decimal place.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + 2 + sqrt(68) + -4 + sqrt(68)*-3 - (sqrt(68) + sqrt(68)*2 + 5 + 2*(-3 + sqrt(68) - sqrt(68)))))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 44*i + 4. Let u(b) be the third derivative of 133*b**4\/24 + 13*b**3\/6 - 2*b**2 + 258. Give 7*l(v) - 2*u(v).\nAnswer: 42*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - -1*(-1 + sqrt(468))) + 4)**2 - (2*sqrt(91)\/sqrt(7) + -4 + 1 + sqrt(13)).\nAnswer: 69*sqrt(13) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 6. Let s be i(4). What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + 0*y + 0*y)*(-7 + 4 + 9) + 5*y - 5*y - 4*y**2 as c + z*y**2 + h*y and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482 = 5*c - 19*f + 863, -c - 5*f + 91 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 6. Let m(u) = -5*u + 7. Let f(p) = 6*m(p) + 7*o(p). Let v(c) = -6*c + 7. Let n(b) = b - 1. Let h(i) = -28*n(i) - 4*v(i). Determine h(f(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(275) + -2 - sqrt(275))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 12. What are the prime factors of u*4*(-11)\/2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562107 is divided by 10907?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-p**2 + 2*p**2 - 3*p**2) - 6*p + 6*p + 3*p**2 + (-2*p + 3*p + p)*(3 - 3 + p) + 0*p**2 - 3*p**2 + 4*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:35 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*a - 25 = 0, -2*x + 53*a = 48*a - 10. Let -2\/3*t**2 - 2\/3*t**3 + 0 + 14\/9*t**4 + 4\/9*t - 2\/3*t**x = 0. Calculate t.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 7. Let o be i(-7). Let b(f) = f**2 + f - 6. Let m be b(-6). Suppose o*r - m = -4*r. Solve v - r = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttiiiittiii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7 - 16*r + 0 - 61 + 2. Let x(n) = 3*n + 11. Let q(o) = 2*l(o) + 11*x(o). Give q(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*w - 2 = -8, -4*z = -5*w - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1133*o**4 + o + 4009 wrt o.\nAnswer: 13596*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-39 + 150 - 73) + (31 - -2)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*o**4*s - 4*o**3*s**3 + o**3 + 15*o**2*s**3 - 6*o**2*s**2 wrt o?\nAnswer: -432*o*s - 24*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16211.051 + 0.21.\nAnswer: 16211.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let b be ((-3)\/9*d)\/3. Which is smaller: -0.5 or b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51248, 102411, 153574?\nAnswer: 204737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = -22. Let v(q) = -q**2 + 8*q. Calculate the remainder when p is divided by v(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4*w + 203*u**2*w**2 + 88*u*w**2 + u - 2 wrt u?\nAnswer: -12*u**2*w + 406*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 4. Suppose -14 = -2*n + 4*n + z, -2*n - 2 = -2*z. Let l be f(n). Let h = l + -2. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109147054 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*u - u**3 + 14*u - 25*u wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -424929.\nAnswer: -2\/424929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*l - 3 + (2 - 2 - l)*(1 + 0 - 2) + 28*l - 94*l + 35*l + (-3*l + 5*l - 4*l)*(3 - 3 - 1) to the form x + f*l and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69132314 by -82.\nAnswer: -843077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**5 - 684*y**4 + 6*y**3 - 10724*y**2 - y + 3 wrt y?\nAnswer: -360*y**2 - 16416*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.76\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9737*j**2 - 8067 with respect to j.\nAnswer: -19474*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + 0 + -7765 + 7665?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 12 (c) 0.05 (d) 174 (e) 3\/5 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6577 and 113\/216.\nAnswer: 1420632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*q + 6 = -0, 8 = 2*m + 2*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1065, 5, 8, -1, 19.\nAnswer: -16, -1, 5, 8, 19, 1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 3*y**3 + 4*y + 0*y**3)*(9*y + 22*y - 4*y)*(-2*y + y + 3*y)*(-2 + 2 - 1).\nAnswer: -162*y**5 - 216*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -31*o + 2. Let t be j(-2). Let w = 702\/11 - t. Suppose 2*q - 64 = -62. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 117892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.15, 80, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220481 is divided by 73022?\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 40 = -3*c. Suppose c*n = 5*n + 10. Solve y**3 + 2*y**2 + 5*y**3 + 0*y**3 - 4*y**4 - 4*y**5 + 2*y**4 - n*y = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9703 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36356, -72715, -109074, -145433, -181792, -218151?\nAnswer: -254510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.43627 decades to centuries.\nAnswer: 4.843627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 22*w**2 - 21*w + 12. Let v be d(10). Let x(z) = 13*z**2. Let c(h) = 3*h**2. Calculate v*x(t) - 9*c(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.971 + -0.029. Let j = 0.98 - -0.02. What is the biggest value in -0.5, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-20)*(-1196)\/598.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 + 7*p + 6. Let s be 14\/(-2)*(0 - -1). Let h = 0 - -16. Calculate the remainder when h is divided by o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwvvueivvv. Give prob of picking 1 w and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/((-88)\/3432)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 539077?\nAnswer: 539077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 19 + y**2 + 12)*(y**3 + 5*y**3 - 5*y**3).\nAnswer: y**5 - y**4 + 31*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*k + 41 = 0, -5*k = 4*b - 10 - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10133124 (base 5) in base 3?\nAnswer: 11020121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11008599?\nAnswer: 3, 7, 524219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2507?\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7122 divided by -238?\nAnswer: 3561\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4265, -12595, -26485, -45941, -70969, -101575?\nAnswer: -137765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**3 - 16500*d**2 + 331524*d - 315020 = 0.\nAnswer: -4145, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 1002 + 154. Let r = g + 442. Solve -d = 5*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.49 + -89. What is t rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 360 - (6 - (4 - 6)). What is the first derivative of -739 - 13*h**2 + b + 344 - 113*h**2 wrt h?\nAnswer: -252*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10331 (base 6) in base 3?\nAnswer: 1221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 4*r + 12. Suppose -137*h + 100 - 70 = 578. Determine m(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05356 + 0.14644. What is the closest to -1\/2 in -4, h, 2\/9, -30?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 c when four letters picked without replacement from {j: 4, c: 10}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323.000656 + -323. Round u to 5 dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = 3*n - 64, 0 = -4*n - 4*v + 80. Suppose q - 20 = -n. Let m be (-603 - -3)\/(q\/(-9250)). What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -7\/17 (c) -0.05 (d) 3 (e) 0.25 (f) 4 (g) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**3\/2 + w**2\/2 + 8*w. Find the first derivative of s(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -96*d + 223 + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - 0.05. Let q = 3 - 2.8. Let z be (2 - (-48)\/(-27)) + (-80)\/(-72). What is the third biggest value in k, q, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) 4 (c) -0.4 (d) 4\/309 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 1. Let y(c) = 13*c + 6. Let p(a) = -6*i(a) + y(a). Let n(r) = 62*r - 5. Let k(z) = -62*z + 3. Let l(b) = -3*k(b) - 2*n(b). What is p(l(x))?\nAnswer: 62*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**2 - 239*b + 709*b - 233*b - 259*b**2 - 234*b.\nAnswer: -243*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 2. Let c be (-79)\/(-1) - (l - -1). What is the tens digit of c\/14*(1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 21*q + 18*q in the form i*q + b and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 524520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855 divided by -467.\nAnswer: -855\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -13\/3. What is the closest to 1 in f, 1\/9, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let s(y) = -522*y**2. What is x(s(r))?\nAnswer: 544968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10 + -57*28\/210.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1628509642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -1\/3*z**2 - 4*z + 15 = 0.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1525, 13\/2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4122\/171 - 60\/570 - 2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 4, i: 4, o: 2}. What is prob of sequence ieem?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*l**2 - 394*l**2 + 785*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19931 is divided by 9915.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 0 + 0 + (-s - 2 + 2)*(-3 - 1 + 2) + 4*s + s - 4*s + s - 3*s + 3*s - 47*s - 9*s + 6*s as q*s + o and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21*3\/9*234\/(-21). Let w = n + 20. Let t = w - -71. What is the greatest common divisor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -28*o**2 + 336*o - 11. Give k(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71840.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2*k**2 - 86*k + 65. Differentiate s(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b + 43 = 59*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4) + 1 - (115 + -110)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**15)\/(i\/(i*i\/i**20)*i*i))\/(i**(8\/9)\/i*i*i**(7\/4)\/i*i))**(2\/5) assuming i is positive.\nAnswer: i**(-1319\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1041348 and 127\/1518?\nAnswer: 1041348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*m + 27, -3*m + 3 = -3*w - 0*m. Suppose u - 3*d = 9, 2*u + w*u + 3 = -d. Solve 8 = 4*l - 2*h + 6*h, u = 3*l - 5*h + 34 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(640) + sqrt(10))*-4*4)\/(-5*(sqrt(288) - (sqrt(288) - (sqrt(288) - sqrt(288)*-1)))*5).\nAnswer: 6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14271 (b) 459 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 - 176. Suppose 0 = f*u + 58 - 502. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -87. Calculate the greatest common divisor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11678 * -0.05\nAnswer: -583.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 4*m**2 + 7*m**2 + (-5*m**2 + 2*m**2 + 2*m**2)*(2 + 4 - 5) + (0 - 1 + 3)*(3*m - 4*m - m)*(m - 3*m - m).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749*j + 2748*j - 50 - 47 + 97.\nAnswer: 3497*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -123858c + 3?\nAnswer: -1238589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -417 + 5?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 104304. Let t(v) = 35*v**2. Calculate i(t(g)).\nAnswer: -70*g**2 - 104304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36948 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101 - -1 - (117 + -144 - (2 - 29))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 102 = 3*k, 0*d - 2*d - 4*k = -72. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let l(u) = -2*u**2 - 4*u - 43. Give -l(o) - 4*t(o).\nAnswer: 2*o**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 996 and 6966\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -1\/12*l**4 + l**3 + 32*l + 0 - 3\/2*l**2. Give g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/4 - 395*w**4\/12 + 775*w**3\/6 - 385*w**2\/2 + 2724*w. Factor x(b).\nAnswer: 5*(b - 77)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*sqrt(1088) - sqrt(1088))*-2 + sqrt(1088) + 1 + 3)**2.\nAnswer: -64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -5, 5\/8, 3, 29?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 - 4*t + 8*t**2 + t**4 - 12*t**2 to k*t**4 + j*t**3 + w + p*t + r*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.84 - -10. Let l = 1.64 + f. Let q = l + -2. Which is the second smallest value? (a) 0.3 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -j + 104 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 70*n - 424. Calculate the remainder when v(15) is divided by 110.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8536, -34174, -76914, -136756, -213700, -307746, -418894?\n\"Answer: -8551*i**2 + 15*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 7, m: 8, d: 3}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85533241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 19 = 2*c, 3*g - 8 = -4*c - 11. Suppose c*u = -0*u + 3153. What are the prime factors of u?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65659 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 15. Let j(y) = -4. Let l be ((-90)\/(-24))\/((-2)\/(-16)). Let f = -8 + l. Let a(t) = -15. Let i(w) = f*j(w) - 6*a(w). Determine 14*i(b) - 2*s(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11499*t - 1. Suppose 0 = -8*f + 14*f - 192. Suppose 27*k + 5 = f*k. Let a be r(k). Round a to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - -8 - -3 - (-1 - 1). Let l(f) = -f**3 + 6*f**2 + 3*f - 3. What is l(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 64*u**4 - 144*u + 10*u**4 - 131*u + u**3 - 3 + 270*u in the form i + l*u**4 + v*u**2 + n*u**3 + g*u and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1081)\/92 + 14)\/((-4)\/10 - -1).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 7*k - 4. Suppose i + 0*i = -4*q - 25, q - 4*i = 15. Give l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-31 - (-40 - -15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 23*q - 2. Let p(a) be the second derivative of 0*a**3 + 0*a**2 + 30*a + 1\/3*a**4 + 2. Determine p(x(g)).\nAnswer: 2116*g**2 - 368*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 17*h - 5*h, 4*h - 44 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 70*s**3 - 5*s**2 + 3*s + 1. Give u(1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + l + 8 = 0, 3*z = -l - 2*l + 6. Suppose -6*j = -z*j - 80. What is the lowest common multiple of j and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygcgugglgcggugygtg. Give prob of sequence uu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*r + 69*r**3 - 71*r**3 - 17 to q + j*r**2 + a*r**3 + f*r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 8*g**2 + 8*g + 28. What is r(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v = -a - 10, -2*a - 6 = 0. Let i(x) = 8*x**2 + 10*x - 12. What is the units digit of i(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 10*s - 8. Let h be n(11). Suppose h*r - 44 = a, 2*r + 32 = 5*r + 5*a. Let v = r - -6. Solve 7*t - 2*t = -v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002297 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -20, 0 = -4*a - a + 4*k + 41 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v**2 - 3*v**2 - 3*v**2)*(4 - 7 + 1) - 1 + 1 + 2*v**2 - 33*v**2 - 33*v**2 + 2*v**2 - 59*v**2 to the form b*v**2 + l*v + x and give b.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112841713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rttrt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/8 - (14 + -7 - 5). Factor 9\/2 + c*d + 3\/4*d**2.\nAnswer: 3*(d + 2)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 7151568?\nAnswer: -786672.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1205\/964)\/(-1*2\/40)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14617770823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/1*(-251)\/(-251)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096697.5284 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 11*g**2 - 2*g**2 - 10*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -241*w. Let l(m) = -66*m + 1. Give u(l(i)).\nAnswer: 15906*i - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:13 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4888, -4878, -4866, -4852?\n\"Answer: f**2 + 7*f - 4896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Suppose 0 = -2*r - 3*r - 10, -3*b = 3*r + 6. Let w(q) be the second derivative of 0*q**2 + 1\/3*q**3 + b + 2*q. Determine y(w(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 5*d**2 - 3*d**2)*(-d**2 - 2*d**2 - 2*d**2) + (0 - 2*d**2 + 0)*(3 - d**2 - 3).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16801691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4228 - -7297. Is 99 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 491*z - 191 = -492*z, -2*f + 3*z = -99. Solve -4*i = 2*c, 46*i + 12 = f*i - 5*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687.602mg in micrograms?\nAnswer: 2687602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 780*z + 3 - 1 - 1 - 768*z to l*z + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -643*u - 1121. What is the remainder when i(-10) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -10)\/(12\/16). Let f = -19 - h. Let w(s) = -s**2 - 6*s + 8. Give w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 6. Let p = r + 1. Which is bigger: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10748 and -10738 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*k + 1653, -33*h - 1023 = -30*h - 4*k. Which is bigger: h or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2272\/50268*6\/16*2?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219 - -221. Suppose w*d + 4 = -5*c + 5, 18 = 5*d - 3*c. Solve 3*z + d*x = 0, 5*z + 13 = 4*x - 32 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271865*p = -2271190*p - 2700 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -2*n, n + 0*z + z = 5. Suppose -h - 4*h = -3*j + 6, -2 = -j + 3*h. Solve 2*s + 21 = y - j*s, n*y - 12 = -2*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 744520.475 to the nearest ten thousand.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2071? (a) -1\/2 (b) 23 (c) -2\/15 (d) 14 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 6*o - 32\/3.\nAnswer: -(o + 2)*(o + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(22\/231*7*2\/76).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 17 - 39 + (-2 + 4 + 0)*(62 - 93 + 86))*(-2*h + 4 - 4) as d*h + b and give d.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/a)\/a*a*a*a\/(a**(-2\/17)*a*a)*a*a*(a**(1\/16))**(-13\/2) assuming a is positive.\nAnswer: a**(4739\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.211 + -12.511. Let o = 12.249 + m. Let p = o - -0.051021. Round p to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 62 = 2*a, -31*w + 83 = 3*a - 36*w. Let s = 4 - 18. Let l be (6\/(-16))\/(a\/s). Are l and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/60 - 13*n**4\/24 + n**3\/6 - n**2 + 97*n. Give m(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1884 + 1882. Sort -3, a, 6, -18.\nAnswer: -18, -3, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667027240 to the power of 1\/2, to the nearest integer?\nAnswer: 40829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8938351?\nAnswer: 29, 308219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1904*i**2*s - 49*i**2 - 2*s**4 + 5 with respect to s.\nAnswer: -1904*i**2 - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*v + 527 = v, 3*v + 115 = h. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/872764 and 65\/28?\nAnswer: 6109348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*p**2 - 100*p + 35 = 0. What is p?\nAnswer: -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + 6 - 6)*(-3*o + 4*o - 4*o) + (-1 + 1 + 2*o)*(4*o - 2*o - 5*o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*g - 4 = 0, 123 - 108 = -4*x + 3*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -840*o**3 + 5*o - 5*o - 1830*o**3.\nAnswer: -2670*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 4*k - 1, 3*k + 30 = 4*x. What is the units digit of 3\/x + 240\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1666395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.8. Let y(s) = -s**2 - 1. Let d(p) = -p**3 + 10*p**2 + 8*p + 2. Let h(j) = -d(j) - 4*y(j). Let c be h(7). What is the smallest value in 2, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 - 1958 = -b. Suppose 5*u = 2*n + n - 810, 2*u = -5*n + b. Is 108\/n*(-3)\/(6\/(-20)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*o**3*r + 100*b**2*o*q*r - b*o**3*q + 2*b*r + 2*o**3*q*r - 5*r wrt b?\nAnswer: -2*o**3*r + 200*o*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2053 + 2129. Solve -80 = 39*g + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.239752693 to three dps.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-7)*f*f))\/(f\/(f**(-9)\/f)))**(-3) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/65 - 144\/455. Sort 2, -22\/3, x in descending order.\nAnswer: 2, x, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5 + g - 22*g**2 + g**2 - 2*g. Let y(d) be the first derivative of -4*d**3\/3 + d - 1. Let a = -6862 + 6864. Give a*i(t) - 11*y(t).\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 4475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 1. Let c be (-2)\/(2\/(-31))*m. Let i = c + -9. Calculate the lowest common multiple of i and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301638.671 rounded to the nearest 100?\nAnswer: -301600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83441?\nAnswer: 181, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 - 28018*d\/5 - 28017\/5.\nAnswer: -(d + 1)*(d + 28017)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -203 - -192. Let d(x) = 0*x**3 + 11*x**2 + x**3 + 9 - 3*x + 4*x. Let u be d(h). Sort -1, u, -4 in decreasing order.\nAnswer: -1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/3, 2\/3, 2.117?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - 6\/(-28). Let x = 50.387 + -52.387. What is the second smallest value in 32, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7997, -7998, -7999, -8000?\n\"Answer: -p - 7996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1838*b - b**2 + 3950*b - 1341*b - 1849*b + 1.\nAnswer: -b**2 - 1078*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Suppose -16*s + 11*s = 2910. Let i = s - -13392\/23. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0 (c) 6036 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12757331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152325783 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-23) - ((-8)\/(13248\/3260) - 42\/252)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n = 3494 - 976 + 2714. Calculate the remainder when 1126 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.17. Let n = 270.3 - 338. Let x = -68 - n. Which is the biggest value? (a) -18 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -225*d**4 - 735*d**3 + 395*d**2 + 475*d + 90 = 0.\nAnswer: -18\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -1\/20*l**5 + 208*l - 6*l**2 + 0 + 5\/12*l**4 + 1\/3*l**3. Give k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 11*j - 5 - 105*j**3 + 49*j**3 + 63*j**3 + 5 in the form l*j**3 + i*j + w*j**2 + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-301 + 301 - 4*x)*((-1 + 1 - 2)*(0 - 3 + 1) - 2 + 1 + 3 + (1 + 1 - 5)*(-4 + 3 + 2))*(3*x**3 + x**3 - 2*x**3).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 179\/5 (c) -0.4 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52103461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 3. Let c be (-15)\/6*(-2 - 0). List the prime factors of w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**6\/36 - 2*d**5\/15 - 7*d**3\/2 + d. Let q(s) be the second derivative of g(s). What is the second derivative of q(n) wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*z + 3*c, -64 = -2*z + 6*z - 3*c. Let v be 4\/z + 2\/8. What is the third derivative of -g**3 + 2*g**3 - g**2 + v*g**3 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30051426*k**3 + 59440803 wrt k?\nAnswer: -90154278*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -294 (base 12) to base 2\nAnswer: -110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.4, 4 in decreasing order.\nAnswer: 4, 0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25321 is divided by 528?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27477 is divided by 9157.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/1403 + -89804\/4209. Let m be (152\/16)\/19 - (-46)\/(-60). Let y = m + 113\/5. What is the common denominator of y and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/5 - 3721*m**3\/5 + 1623727*m**2\/5 + 9842937*m\/5 + 2962944 = 0. What is m?\nAnswer: -3, 512, 3215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.92093186 rounded to one dp?\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-2160)*15)\/((-10)\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40908 divided by 42.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 - 0 - (-822 - 22) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1 + 19*y + 4*y - 3. Let t(l) = -l**3 - 26*l**2 - 91*l - 68. Let j be t(-22). Determine r(j).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13008433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 3*sqrt(637))**2 + -3 - sqrt(637))*-6*-1 + ((1 + sqrt(637))*2 - -2*1*sqrt(637)) + 5.\nAnswer: -14*sqrt(13) + 61141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23728*n + 262481. Determine x(11).\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 313 - 307 = 0. Let l = 63 + -61. Suppose 84 = 2*j - l*z, 3*j - 3*z = 4*j - 42. Calculate the remainder when y is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4541400, -4541421, -4541444, -4541469, -4541496?\n\"Answer: -g**2 - 18*g - 4541381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2339 = -4*s + 2443. Solve 26*g - 13*g = s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c696 (base 13) in base 3?\nAnswer: -2211220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1105 and (-3 + 29)\/(258\/(-952) - (-30)\/105).\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -3*l + 145. Suppose 14*d - l = 9*d. Factor -1\/3*t**4 + 0 - 5\/3*t**d - 4\/3*t - 8\/3*t**2.\nAnswer: -t*(t + 1)*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/66*12\/(-48)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let b = p - -2. Suppose 7*j - 5*j = 10. Is b greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**4*t*z**3 - 166*f**3*t**2 - 4*f**2*t**2*z**3 - 130*f**2*t**2 - 2*f*t*z**3 - 2*f*t*z - t**2*z wrt f.\nAnswer: 216*f*t*z**3 - 996*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12.7*4\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2333, 9323, 20993, 37355, 58421, 84203, 114713?\n\"Answer: 2*w**3 + 2328*w**2 - 8*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60810 or -60821?\nAnswer: -60810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12737642?\nAnswer: 2, 1487, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1674 and 99138.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*w**3 + 16*w - 45*w - 34*w**3 + 29*w.\nAnswer: 78*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 14*n**2 + 11668*n - 105460. What is i(9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6525242 centimeters?\nAnswer: 6.525242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 29*y**2 + 3*y**2 + (0 + 0 - y)*(0*y + 3*y - y).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14235\/43 - -331. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-3)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 918225785 + -918225764.65912845. Let b = n - -182.65910375. Let k = 203 - b. Round k to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1287300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 58*m - 83707. Let g = 1089 - m. Round g to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 6. Let g(s) = 910*s**2. What is g(k(p))?\nAnswer: 910*p**4 + 10920*p**2 + 32760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u. Let l be j(4). Suppose -2*g + 4*y = -0*g + l, g = -5*y + 22. Suppose 14 = g*f - 0*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -221, -678, 132 in ascending order.\nAnswer: -678, -221, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 811 - 799. Solve -5*q - z*w - 30 = 0, 0 = q + 7*w - 2*w + 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8502*s + 17036*s - 8504*s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 624*c - 6829. Determine f(-11).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -138*a**2 - a + 4. Let h(w) = 275*w**2 + w - 6. Determine -3*h(b) - 5*u(b).\nAnswer: -135*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120010202 - -212200?\nAnswer: -112021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2. Let m(z) = -2*z**2. Let b(c) = -3*m(c) + 2*u(c). Let f(i) = 128*i. Calculate b(f(x)).\nAnswer: 32768*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*l + 2 = -0, -3*l - 3 = 0. Suppose -28 = -2*n - h*n. Calculate the remainder when 2\/((-4)\/(-26) + 0) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 41. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let o(q) = q + 3. Let m(r) = -r**2 + 9*r - 2. Let f be m(9). Determine f*o(k) - 6*h(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {m: 5, r: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**5\/5 + 56*g**4\/5 - 392*g**3\/5 - 32*g**2 + 1252*g\/5 - 152 = 0.\nAnswer: -19, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u = -908*u + 18165 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28170 - 14753. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14153 (base 6) to base 12.\nAnswer: -1359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/17 or -1?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(200) + 4 - sqrt(200)) + -2 + (sqrt(98)*2 + -4 + (6*(-1 + sqrt(98)) - sqrt(98)) + sqrt(98))**2)*-5.\nAnswer: -31860 + 5750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-1 - -20)) + (-46 - -24) - -13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 2133594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532 and 224.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h + 4. Let x be ((-8)\/(-3))\/(116\/348). Let y(p) = 20*p + 6. Suppose 2*q = -5*v - 31, -4*v - 5*q = -v + 30. Calculate v*y(t) + x*o(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 64083*d + 16020751. Calculate f(-250).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 + 2*p + 5. Let w(g) = -7*g**2 + 3*g + 6. Suppose -15 = -3*d + 3*u, -2*d - 30*u + 4 = -29*u. Determine d*t(s) - 2*w(s).\nAnswer: -4*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1163263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 448.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:02 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13.7 * -0.09934\nAnswer: -1.360958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*s - 10*s - 6*s**2)*(-2 + 0 + 1)*(s - s + 3*s) to y*s + u*s**3 + q*s**2 + k and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2 - 1. Let f be c(0). Let d = 8 - f. Let w be (d*2)\/1 + -3. Solve 3*p = -2*p - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.2758152 milliseconds to days.\nAnswer: 0.00000007263675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -8*p - 6. Suppose d - 7*g + 3 = -p*g, 4*d = 4*g + 4. Suppose d*z - 2*l = 268, 2*z = -4*l + 44 + 236. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 6*b**2 - b - 2. What is the tens digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.86232 + 0.5\nAnswer: 13.36232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 998 or 4984\/5?\nAnswer: 4984\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3177 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3208511 to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 60 + 84. Are 0 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 99?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -123, -207, -315, -453, -627, -843, -1107?\n\"Answer: -s**3 - 3*s**2 - 50*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3)*(2 - 2 - 9*u**3 + (-2*u**2 - u**2 + u**2)*(-u - u + 0*u)).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**3*h*i - 5*d**3*h - d**3*i + 7*d**2*i + 2*d**2 + 3*d*h*i + h wrt d.\nAnswer: -18*h*i - 30*h - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4 + (-5)\/(240\/(-194))). Solve -5*w = 4 - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = 3*z + 2*y - 282, -28*z + 29*z - 4*y + 17 = y for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030970855 to 6 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*c = -474, -3*t = 2*c - 5*c - 1422. Suppose -31*j = -t + 9. Solve 5*o - 3*f + 1 - 7 = 0, f = -4*o + j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16046548 is divided by 331.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 11:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u + 130 - 130.\nAnswer: -43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from eeeeeeeeverjej?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/25 + 7*f**4\/15 - 22*f**3\/15 + 2*f**2 + 7*f. Solve y(j) = 0 for j.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153)*1 + (sqrt(153) - (sqrt(153) + 1 + 0 + sqrt(153))))*1)**2 + -1.\nAnswer: 18*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1774 + 25. What are the prime factors of s?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.24706437 rounded to 4 decimal places?\nAnswer: 0.2471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(6\/24). Suppose 0 = -4*v - 2*f - 2*f + 180, -4*v = d*f - 180. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 16 = 2*m, -k = -4*k - 3*m + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 85?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*l**4*z**2 - 284*h*l**3 + 8*h*l**2*z**2 - 3*h*l*z + l**4 - 3*l**2*z + l**2 wrt l?\nAnswer: 24*h*l*z**2 - 1704*h + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.0478\nAnswer: 0.1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(176) + -1 + 2)**2.\nAnswer: 16*sqrt(11) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.5, -4, 7\/3, -2\/3, -201?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by 50\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.7 and -0.4?\nAnswer: 13.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.104009 to two decimal places.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73 - 151 - 24)*(-3*w + 6*w - w) - 3 + 4 - 2 - 2*w as l*w + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 - 560. Does 62 divide (-164)\/v - 526\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11 = -1, -3*w + 75 = 2*p. Suppose 4*k - w = -q, 3*q + 0*k + k - 80 = 0. Let b = q + 40. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 6*n**2 + 6*n - 5. Let u be v(-5). Let w be (1\/(-2))\/((-2)\/u). Let x = -7 - w. What is the least common multiple of 9 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**(4\/3)\/(x**(-1))**(-1\/5))\/((x**(1\/12)\/x)\/(x\/x**(-3\/5))*x**2\/x*x*x\/((x**(-5)*x)\/x)) assuming x is positive.\nAnswer: x**(-127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3 - 8*u + 0*u - 5*u. Let f(n) = -9*n + 2. Let q(l) = -9*l + 1. Let h(g) = 3*f(g) - 4*q(g). What is 7*h(y) + 5*x(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11.4, -1, 15, -0.4, -4 in increasing order.\nAnswer: -11.4, -5, -4, -1, -0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 + 3*h + 1. Let a(r) = 14*r**2 + 2*r + 1. Give -3*a(o) + 2*t(o).\nAnswer: -16*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.05 - 20. Let g = z + -0.05. Which is the closest to 0? (a) 0.5 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215507 + 611747 = 48*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/7 (b) -134\/9 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112763?\nAnswer: 7, 89, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/23 (b) 15820 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o + 136. Let v be p(-19). Let n(r) = r**3 - r**2 - r. Let l be n(-1). What is the biggest value in l, 13, v?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:50 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -54219281 take away 17?\nAnswer: -54219298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h + 0*h**5 + 0 + 1\/24*h**6 + 29*h**2 + 1\/24*h**4 - 11\/6*h**3 + 4\/105*h**7. What is the second derivative of r(p) wrt p?\nAnswer: 96*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*p - 32 - 21 + 51 - 33 in the form k*p + m and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stgs when four letters picked without replacement from {g: 5, t: 1, s: 5, c: 8}?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 52. Let h be f(6). Let o(m) = -5*m - 3. Let g be o(-10). Let z = -22 + g. Calculate the greatest common factor of z and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -0.2, 3.56 in ascending order.\nAnswer: -0.2, 1, 3.56, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*p + 5*p = 166*p - 3724 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/3861 and 1\/198.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021011022211012 + -21?\nAnswer: 12021011022210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2458067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 6*o - 753. What is the least common multiple of s(34) and 12?\nAnswer: 11676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/6 - 7*h**2\/2 - h. Let c(g) = -g**3 - 5*g**2 + 5*g. Let d be c(-6). Let l be p(d). Let x(w) = w - 1. Calculate x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 669, -181, -2493, -6999, -14431, -25521?\n\"Answer: -122*o**3 + o**2 + o + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1434 = 3*m - 28*m + 2191. Solve 2*c - m = -135 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 - 6*s. Let v(r) = 2*r**3 + 7*r**2 + 7*r. Let c = 1294 - 1288. Determine c*v(m) + 7*x(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 523*x - 2. Let f(z) = 70*z**2. Calculate f(w(o)).\nAnswer: 19147030*o**2 - 146440*o + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-528)\/28)\/((-5)\/35). Suppose 48 = -k - 3*x - 0*x, 3*k = 3*x - l. Let h = k - -111. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*f**5 + 122*f**4 + 2348*f + 104*f**5 - 70*f**4 wrt f?\nAnswer: -1320*f**3 + 624*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n**2 + 2*n + 2. Let x(o) = -o**2 + o + 1. Let c(l) = p(l) - 2*x(l). Find the third derivative of c(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z**2 - 16*z**2 - 23*z**2 - 17*z**2 + 2*z**3.\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2160133349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxyf when four letters picked without replacement from fpxyyxpxxfpfxxx?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223811544 to the power of 1\/2, to the nearest integer?\nAnswer: 14960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 54. Suppose i - v = 89, -3*v - 2*v + 365 = 4*i. Calculate the remainder when i is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = 3*g - 1, 3*g + 5*j - 43 = 0. Let n(q) = -q**2 + 7*q - 5. Let x be n(g). Let h = 3 - x. Calculate the greatest common factor of h and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**4 - 1344*w**3 + 3286*w**2 wrt w?\nAnswer: 24*w - 8064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122111200211 + -1?\nAnswer: 1122111200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - n**2 + 4*n**2 + (n + 0 + 0)*(0*n - n + 7 + 2*n).\nAnswer: 2*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601154.\nAnswer: 2, 17, 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 25. Suppose -40 = -g*t - 2*v, 5*t - 4*v - 80 = 47. Suppose -5*d + 72 = -t. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*i + 27*i - 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1021, -2048, -3093, -4174, -5309, -6516?\n\"Answer: -3*b**3 + 9*b**2 - 1033*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 88, 105, 124, 145, 168, 193?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Let z be (-65)\/(-130) + ((-130)\/(-4) - -1). Suppose -11*t + 1 = z. Sort -2, -1, w, t in ascending order.\nAnswer: t, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 4*l. Let z(k) be the second derivative of k**5\/20 - k**3\/6 - 28*k + 1. What is h(v) + 4*z(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 44. Calculate the common denominator of (7\/((-14)\/(-6)))\/(18\/n) and -5\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1616\/(-820) + 2)\/(1023\/1705).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/3, -35, 5.\nAnswer: -35, -2\/3, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/77756 and -61\/70.\nAnswer: 388780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 44 = x, a + 152 = 5*x - 2*a. Let o = -28 + x. Suppose -4*p = -5*b - 927, o = -p + 2*p + 2*b - 248. What is p rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 0.6. Let d = 1351.21 - 1351. Which is the closest to d? (a) -0.4 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2\/5 - 108*g\/5 + 1551\/5 = 0. What is g?\nAnswer: -47, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 2.2. Let k = 1.8 + j. Let i = -0.19976 - k. Round i to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 90\/30733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13966 - 3?\nAnswer: 13963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 0.1, -3\/4, -26, 0.5, 2 in descending order.\nAnswer: 2, 0.5, 0.1, -0.06, -3\/4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s - 2. Let x be q(2). Suppose x*v = v + 33. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 70 (c) 0.123 (d) 0.5 (e) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/4424 (b) 3 (c) 2\/23 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*n - 292*n + 624*n as p*n + a and give p.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 + 3*p + 1. Let y(t) = t**3 + 6*t**2 + 3*t - 5. Let r be y(-5). Let h be 5 - 3 - r - 1. Is a(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - h**2 + h**2)*(-2*h**3 + 2*h**3 + 2*h**3)*(-4 + 0 + 8).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198479.5 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 134 - 2238 - 561)*(-11 - d**4 + 11) in the form k*d + a*d**3 + z*d**4 + q + g*d**2 and give z.\nAnswer: 2678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, -125, -2.98623?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/(57\/(-38))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76764 is divided by 5898?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 + 7670*a\/11 - 5112768\/11.\nAnswer: -2*(a - 2976)*(a - 859)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*z - 2*z + 26, 3*z = u - 14. Suppose u*f - 5*f = -12. Solve 4*k = -0*k - f*l + 32, 8 = 4*k - 4*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 7\/10, -2\/37, 0.2?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 - 150. Which is smaller: s or 3\/133?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c + 337517 + 63207 = -18*c. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -0.03, -2\/13, 1\/77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.86 + -0.14. Let m = -3 - 0. Let h = b - m. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 3*p + 9. Suppose -3*f - 19 = a - 2*a, -5*a + 5 = 0. Let x be t(f). What is the highest common factor of x and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 2*n**4 - 3*n**4)*(-6*n + 2*n + 9*n) + (-151 + 14*n**5 + 151)*(0 + 2 + 0).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 7*c + 4. Let w be d(-7). Suppose 0 = w*l + 32 - 116. Let p = l - 11. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1055365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 8*b**2\/5 + 14*b\/5 - 4.\nAnswer: -2*(b - 5)*(b - 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 0 + 0 + (-2 - 2*k**2 + 2)*(4*k**3 + 2*k**3 - 4*k**3) + 4*k**5 - 5*k**5 - k**5 + (9*k - 44 + 44)*(-7*k**4 - 3*k**4 + k**4).\nAnswer: -88*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4107728862.\nAnswer: 2, 3, 67, 126151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*r - 66, -2*r - 40 = 2*y - 6*y. Let w = r - -20. Suppose -g = 3*k - 12, w*g + 5*k = 30 + 18. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 4*j + j)*(-2*j + 0 + 0) - 772 - 4*j**2 - 4*j**2 + 9*j + 787.\nAnswer: -6*j**2 + 9*j + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1551 - -6203\/4. Let k = -1 + 1.08. What is the second smallest value in 1\/5, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*z - 0*x + 2*x, 5*z = -x + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 333263115 - 1?\nAnswer: 333263114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1022 and 44\/38052199?\nAnswer: 532730786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.33638541\nAnswer: -1.34554164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {e: 1, w: 1, s: 1, c: 1, a: 1, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10629381241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**11\/z)*z*z**11*z)\/(z\/(((((z**1*z)\/z)\/z)\/z)\/z)*z)**5)**35 assuming z is positive.\nAnswer: z**(-595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2444)\/286 - (-90)\/165.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b79b7 (base 12) in base 13?\nAnswer: 85c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -79. Suppose 13*a + 6 = s*a. Which is smaller: a or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and -113\/108272292?\nAnswer: 108272292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = -8*a + 5*a + 409 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1499920000 to the nearest 1000000.\nAnswer: -1500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2773, -2783, -2793, -2803, -2813?\nAnswer: -2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 24 = 2*m. Suppose a = -3*a + w + 38, 4*w - m = 0. Suppose -2*x + 7*x - a = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21343 divided by 3.\nAnswer: -21343\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -686c9 - -b?\nAnswer: -686bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 6, d: 1, p: 5}. Give prob of picking 2 p and 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d = -28*d - 187. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let g(b) = 11*b - 12 + 22 - 10. Determine y(g(t)).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065191698 rounded to 4 dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5*u + 5. Let t be b(-4). Suppose 22*d + 15 = 19*d. What is the units digit of t + d + (7 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13136 is divided by 4359.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20770.26413 rounded to the nearest one hundred?\nAnswer: -20800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -159. Let w be (22\/4)\/((-10)\/h). Suppose 2*b - w = 3. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*n = 4 + 26, -29 = -i - 5*n. Suppose 4*j - 5504 = -4*s, 10*s - i*j = 6*s + 5520. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71494 + 9894 = 55*j - 2333*j + 1658 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to -3.636901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/23 - 89\/69. Let i be (990\/735)\/(-11)*7. What is the closest to 0 in i, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 p, and 1 g when four letters picked without replacement from pugplulgllgllguglx?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-565*w + 113*w + 1327*w)*(-3*w + 10*w + 5*w).\nAnswer: -10500*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**2*v)\/v)\/v)**(18\/13))**(-6\/29) assuming v is positive.\nAnswer: v**(-108\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 6*p**4 + 4*p**4 + (2817*p**3 + 4073*p**3 - 2021*p**3)*(-p + 2*p - 3*p).\nAnswer: -9737*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - ((34 - 36) + 36).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 32. Calculate the remainder when 1*(-141)\/(1 + -4) is divided by k\/(-2 - (-1 - 2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -18. Suppose 2*v = -v + h. Let c(d) = -4 - 4 - d + 12. Determine c(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/(d*d\/d**(1\/5)))\/d*d)\/d)*d**(1\/2))\/(d*d\/d**(-2\/13))**(-3\/4) assuming d is positive.\nAnswer: d**(639\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 715?\nAnswer: -70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {b: 2, a: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**2 + 3*c + 0 + 1\/6*c**3. Let d = 2 + 4. What is j(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -3, 7, 2 in descending order.\nAnswer: 7, 2, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - p**2 + 7*p - 7. Let j(g) = -g**3 + 2*g**2 + g - 1. What is 14*j(n) - 2*k(n)?\nAnswer: -10*n**3 + 30*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-1))**31\/(f*f*f*f*f**(14\/9)*f**(-2\/11)*f))**44 assuming f is positive.\nAnswer: f**(22028\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + 1. Let f(a) = -2*a**3 + a**2 + a - 3. Let k(b) = 3*d(b) - f(b). What is the remainder when 19 is divided by k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -282373, -282379, -282383, -282385?\n\"Answer: j**2 - 9*j - 282365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 4\/3*q**2 + 1\/3*q**3 + 6 - q. Solve b(v) = 0.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102261 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 4, x: 1, t: 1, k: 1}. Give prob of picking 1 t and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67097147 to the power of 1\/2, to the nearest integer?\nAnswer: 8191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 9. Determine g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by (-7)\/21*(-8 - 34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 170\/6 - (-4 - -6)\/6. Suppose o = h + h. Suppose 3*u + 10 + 10*u**2 - u**3 - h*u**2 + 8 = 0. Calculate u.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*o = 9 + 42, -3*k = o + 24. Let h be (6\/k + 1)*(-30)\/2. Let t = -46 - -277\/6. Which is the biggest value? (a) h (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 11*d + 19. Let k be s(-7). Sort k, -0.3, 4\/7.\nAnswer: k, -0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-136)\/102*3\/(-34). Which is the third smallest value? (a) g (b) 0.5 (c) -0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(384)\/sqrt(8) - ((sqrt(12) + 2 - sqrt(3)) + sqrt(3)))**2.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/7 + 6854*t**3\/7 + 13716*t**2\/7 = 0.\nAnswer: -2, 0, 3429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22212716 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciciieiiiiiiiiiii. What is prob of picking 3 i?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*q + q - 24 = 0, -h - 2*q = 9. Let d(f) = -3*f**2 - 2*f. Let n(t) = 6*t**2 + 5*t. Determine h*n(x) - 7*d(x).\nAnswer: 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 - 96*p**2 - 65*p + 390. Is 56 a factor of k(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-42)*2\/16?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9980*c**3 + 116*c**2 + c + 8.\nAnswer: -59880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9884869 and 591?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*w - 0*w - 16, -5*w + 70 = 4*j. Suppose 4*n = -j, -t + 0*n = -2*n - 21. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3128 * -0.4.\nAnswer: 1251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924 at most as big as 29545\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*o = 0, 0*o - 3*o = -5*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 + -6.600192. What is k rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5\/30*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4775 and 175866115.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1 = 3*p, -p + 99*v = 100*v - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**4 - 3*d**2 + 5. Let m = 6 + -1. Let n(f) = f**4 + f**2 - 3. Let t(x) = m*n(x) + 3*h(x). Find the third derivative of t(w) wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pptt when four letters picked without replacement from {t: 9, p: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 200570\/150 - (-6)\/45*-1. Round y to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -0.16. Let x = i + -0.71. Round x to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 350 = -21*c - 16*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8)*-6*-8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + 4 + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33117*q + 3 + 33117*q + 35*q**2 - 3.\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 317 - 317.2. Let b be (-13)\/(-14) + (-1)\/2. What is the second smallest value in b, 1, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 88978292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19053 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w**3\/15 - 272*w**2\/15 - 142*w\/15 - 6\/5 = 0 for w.\nAnswer: -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1121 or 3146\/53?\nAnswer: 3146\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68496?\nAnswer: 2, 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 - 6*m - 20*m**3 + 6*m - 20*m.\nAnswer: m**3 - 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -38.74855?\nAnswer: 39.04855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 17, o: 1}. What is prob of picking 3 y?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/3)\/(9\/6). Let s be (-18)\/m*1\/3. Suppose 4*h + 4*j - 12 = 0, s*h + h - j = 7. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56607161.\nAnswer: 13, 17, 67, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/1 - 1*54\/(-6). Suppose 5*y = 19*y - 28. Find r such that -9\/5*r**y + 3\/5*r**3 + o + 0*r = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - 2 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1150 + 25 = -9*f. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1527 + 866*s - 2479 - 863*s to a + d*s and give a.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 2*t + 2. Let h be z(2). Suppose -s + 4*s = h. Find the third derivative of -5*g**2 + 0*g**2 + 4*g**s + g**3 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/16104 and -77\/7442?\nAnswer: 982344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5009264 is divided by 626.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v. Let w(u) = -199*u - 130*u + 225*u. Give -48*l(g) - 5*w(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/88 and 85\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 14*p = 11*p + 27 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 120. Which is the closest to -5? (a) 1 (b) 1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10*h**2 - 1746*h - 983. Let d(n) = -2*n**2 + 9*n + 1. Let i(c) = -4*d(c) + v(c). Find the first derivative of i(f) wrt f.\nAnswer: -4*f - 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + (-2)\/3)*(3 + -42). What is the greatest common factor of w and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 0*b - 3*b**3 + (-2*b**3 - b**3 + 5*b**3)*(-143 - 24 - 49) in the form k*b**2 + v*b**3 + m*b + i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -376, -483, -630, -829?\nAnswer: -1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084443424?\nAnswer: 2, 7, 9305551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let w(j) = j**2 - 9*j - 9. Determine w(z) - 6*x(z).\nAnswer: z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -4\/3 (b) 1\/7 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424 + 426 - (13 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2 + 13*c - 7. Let w(f) be the second derivative of -f**4\/12 + f**2\/2 - 3995*f. Determine r(i) + 5*w(i).\nAnswer: 3*i**2 + 13*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -15. Let y(o) = -o - 9. Let m be y(s). Suppose m*k - 10 = 6. Sort 0, k, -3.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Let o = -10 + x. Let u = 10.8 - 11. Which is the second biggest value? (a) -0.1 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009*h + 19224 = -1567*h + 825*h for h.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2592, 3\/4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/7)\/x**8)\/(x\/(x*x**(-1\/3)\/x))**(-31) assuming x is positive.\nAnswer: x**(688\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*p**3\/15 - 350*p**2\/3 + 482*p\/5 - 102\/5 = 0. Calculate p.\nAnswer: 3\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 7*d**2 + d - 3. Let c(k) = -k**3 - 3*k**2 - 1. Let t be (7\/14 + 3)*2. Determine t*c(g) - 3*s(g).\nAnswer: 2*g**3 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1394 + 1394. Let i(n) be the first derivative of 13 - 4\/3*n**3 + 2*n**5 - 3\/2*n**4 + 0*n**2 + l*n. Factor i(b).\nAnswer: 2*b**2*(b - 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107\/9? (a) -3 (b) -0.1 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/194 (b) 11 (c) -1\/5 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2210 - 2203. Solve -5*o - g = -i + 10, 0 = -2*o - i - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/120 - u**5\/20 + u**4\/12 + 2*u**3\/3 - 2*u**2 - 31. Let y be (2 - 5)*(-2)\/(-2). What is p(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9400 + 149*m + 9400.\nAnswer: 149*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 22. Let a be -5 + 4 + 14\/2. Let f be d(a). Let c = -1 + 6. Solve m + f*m + 4*b = -5, -2*b = m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-10)\/21*30 - -10)*-273 is divided by 584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -1283.6251\nAnswer: 16687.1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-3))\/((-6)\/(-3)). Suppose z = 2*o - 8, -6*n + 4*o - 22 = -3*n. Sort 5, n, -5 in descending order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21067.06 nanometers to meters.\nAnswer: 0.00002106706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9129 + -9120.902. What is i rounded to one dp?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q + 5. Let m(y) = -y - 1. Let a(x) = -2*c(x) - 10*m(x). Let l be (14701 - 12\/(-3)) + -1 + 5. Let n(b) = -14709 + l + 2*b**2. Determine a(n(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 49, -15, -5 in ascending order.\nAnswer: -15, -5, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((-48)\/(-28))\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d - 30966 = -4*f + 43*d, -4*d - 12 = 0. What is the remainder when f is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -97*o - 827. Calculate x(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110220 (base 3) to base 8.\nAnswer: 4747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -15?\nAnswer: -59\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -1\/2, 2, 1\/4, -18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1111 and -0.2.\nAnswer: -222.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 87 = -4*v + 3*v, -2*z + v + 149 = 8*v + 155 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1 + 18*z - 7 - 23*z. What are the prime factors of y(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 8*a - 2. Let x(g) = -5*g**2 + 7*g - 3. Let m(y) = 3*b(y) - 2*x(y). Find the second derivative of m(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/14602 and 19\/34489.\nAnswer: 71944054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 3*z - 3. Let t(k) = k + 2. Let x be t(0). Let n be ((-7)\/(-2))\/((-1)\/x). Calculate the remainder when r(n) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k - k)*(-2 + 5 - 4) + 4*k + 5 - 5 - 7 + 7 - 8*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 20*u - 1. Let b be q(-20). Find the common denominator of (b\/(-10))\/(2 - (-1006)\/(-505)) and -65\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 + 53*n**2\/2 + 2809*n\/2 + 148877\/6.\nAnswer: (n + 53)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*t**3 - 61*d**2*t*v - 2*d*t*v**2 + 12*d*v**2 - 495*t**3*v + 2*t**2*v**2 wrt t?\nAnswer: -6*d**2*t - 2970*t*v + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/417 + -277\/417. Suppose 9*z - 99 + 9 = 0. Suppose 14*v = z - 66. Which is the third biggest value? (a) v (b) l (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 smaller than 761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-1)\/7*0 + -3. Let c = -5.6 - -6. Let r = c + -0.5. What is the nearest to 0.2 in l, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 4931830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 9. Suppose -5*m + m - 8 = 0. Let p = m + 9. Does 3 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 10*h**2 - 7*h**3 + 2*h**2 - 12*h**2 as q*h**3 + g + z*h + d*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:45 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38923582 or -38923588?\nAnswer: -38923588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 54. Let y be h(-5). Let m be 76\/8 + y\/16. Solve 2*r + m = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(7) + 0)*-3 - sqrt(7)))*-1 + (sqrt(2401) + sqrt(2401)*-2 - sqrt(2401))\/sqrt(7).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:26 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3575, -7159, -10743, -14327, -17911?\n\"Answer: -3584*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/24)*m)*m*m**(1\/26)*m*m)**(3\/22))**11 assuming m is positive.\nAnswer: m**(623\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hht when three letters picked without replacement from hth.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Let k(p) = 18*p**2 + 223*p - 699. Calculate d(k(y)).\nAnswer: 36*y**2 + 446*y - 1398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k + 22*k + 78*k)*(-4 - 10 + 16) + (-1 - 1 + 1)*(2*k - 5*k + 2*k).\nAnswer: 223*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/7 + 130*d**4\/7 - 2694*d**3\/7 - 61160*d**2\/7 - 48775*d - 599250\/7 = 0.\nAnswer: -5, 51, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -18*m - 18. Give a(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*d - 17 = 0, -34 = -5*w + 3*w - d. Let n be w\/(-4) + 6\/24. Let r be n\/6 - (-42)\/36. Which is the nearest to r? (a) -1 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2682 and 2538?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3296 (base 10) to base 2.\nAnswer: 110011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/3552 and 33\/64.\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**6\/18 + h**5\/3 - 11*h**4\/3 + 20*h**3\/3 - 495. Suppose j(b) = 0. What is b?\nAnswer: -10, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -27 + 3. Suppose 9*j = n*j + 245. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13. Let j(t) = -15. Let c(x) = 6*j(x) + 7*r(x). Let y(h) = -h + 5. Let m(b) = 5*c(b) - y(b). Let d(k) = 2*k + 4. Calculate d(m(v)).\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 0*l**3 - 3*l**3 + (-1 - 2 + 4)*(-6392*l**2 + 50*l**3 + 6392*l**2).\nAnswer: 49*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + q + 29 = 0, 2*q + 90 = -3*y + 7. Let x = 7 - y. What is the remainder when 30 is divided by (-1)\/(-3) + x\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*w**5 - 1 - w**2 - 158*w**6 + 8*w**5 - 9 wrt w?\nAnswer: -18960*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 11 - 2*y + 9)*(2*y - 3*y**2 + y**2 + y**2)*(-2*y - 3*y + 3*y) in the form f*y**4 + g*y**3 + l*y**2 + z + t*y and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from jjjsspmpjsp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1008064 and 1520?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-3))\/(11\/(-33)). Suppose -3*x = -14 - l. Let c(n) = n**2 - 4*n + 8. What is the tens digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -18*r + 63 + 176 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524291723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -19815 < -19844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7797744 is divided by 1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 1595*c = 0. Calculate c.\nAnswer: 0, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 7*x - 2. Let g be i(-6). Suppose g*f - 4 = 6*f. Is 8\/(-12)*1173\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 167*g**2 - 4*g - 38. Is 4 a factor of b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let z = 273.9 - 65.9. Let x = -207.9 + z. What is the closest to -0.1 in 3, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Let b = 7 - 13. Let h be 3*1*(b + 14). Calculate the highest common factor of a and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**6 - 15*u**5*v + 2*u**4*v + 624*u**2*v wrt u?\nAnswer: 360*u**3 - 900*u**2*v + 48*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(-4*(2 + sqrt(72)) + 4 + sqrt(72)*2 + (2*sqrt(72)*-1 - (2 + sqrt(72) + 3)))**2.\nAnswer: -11287 - 3240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48337514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 14*u - 9. What is l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -2.5. Let a = p + 2. Let n = -1 + a. What is the nearest to n in -1, -0.2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -30113300?\nAnswer: -30113230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58406.84 centuries in decades?\nAnswer: 584068.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.85362ns in seconds?\nAnswer: 0.00000002985362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + 13. Let b be z(0). Suppose -4*t + 22 = 2*w, 3*w + b = -4*t + 40. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/3 - 4\/12. Suppose o = 5*a + 1. Suppose 0 = a*n - 99 - 150. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1262 and 594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 7*a + 2. Suppose p = 5*h + 42, 3*p + 0*h - 2*h - 74 = 0. Let k be 4\/p - (-630)\/(-77). What are the prime factors of u(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*r**3 + 4025*r**2 - 990*r - 3015.\nAnswer: -5*(r - 201)*(r - 1)*(4*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 192*v**2 - 767*v\/4.\nAnswer: -v*(v + 1)*(v + 767)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 67.079. Let f = 0.047 - a. Round f to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + 123 + -1 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22101102 + 2221?\nAnswer: 22111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227 + 155. Let t = -72.3 - d. Put 0.1, -2, 4, t in decreasing order.\nAnswer: 4, 0.1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06852 take away -0.07?\nAnswer: 0.13852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-4) - (-39)\/(-9). Let f(c) be the second derivative of c + 1\/12*c**4 + 0 - y*c**3 + 1\/5*c**5 - 1\/2*c**2. Factor f(n).\nAnswer: (n - 1)*(n + 1)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-8)\/3*(-24)\/16. Suppose -5*k + g*k + 350 = a, k - 2*a = 81. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233871382 - -14\nAnswer: -233871368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -894 - -521. Let z = j + 1527. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)*p)\/((p**(2\/9)\/p)\/p) assuming p is positive.\nAnswer: p**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b + 28. Let r be -2*(-2)\/4*5. Let z(d) = -4*d - 2. Let m(p) be the first derivative of -3*p**2 - 3*p + 1. Determine b*z(a) + r*m(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + (8 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = 11*b - 5*b + 5*g + 239, -4*b + 4*g = 92 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3780, 3949, 4408, 5301, 6772, 8965?\nAnswer: 12024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 304276 <= 8824044\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 15, 2*g = 6*g + 4*d - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010306 to 7 dps.\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3)*(3 - 1 - 1)*(3*s + 2*s - 6*s + (s - 4*s + s)*(3 - 5 + 1) + 2 - 2 + 2*s + 247*s + 1150315 - 1150315) in the form f*s + z and give f.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3 + j + 5 - 3 + 2. Let z be f(-1). Suppose -u + 3*k - 3 = -2, z = 4*u + 4*k - 60. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16803, 33596, 50389, 67182, 83975?\nAnswer: 100768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q**(1\/3))\/(q**(-2\/9)*(q**(-4\/7)*q)\/q*q) assuming q is positive.\nAnswer: q**(-349\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.432659 to three dps.\nAnswer: -1.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15997\/7 + 2292. Let o = -24440 - -46753\/2. Let q = o + 1034. Calculate the common denominator of w and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04679 and -4.\nAnswer: 0.18716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7580 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*x - 7*x - 9*x**2 + x**2 wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001678953264 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 6*g**2 - g - 3. Let c be l(-6). Find the second derivative of 0*j**3 + 225*j - 227*j + 0*j**c + 5*j**4 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l - 27 + 1\/12*l**3 + 9\/8*l**2. What is g in n(g) = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2456 (base 8) to base 13\nAnswer: 7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*v - 5*v + j - 91, 4*v + 80 = 2*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 + 30*o - 44. What is l(-7)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 5*t - 11 - 13, 5*t = -4*s - 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/80 - 2*k - 7. Find i, given that v(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7285028*g. Let c(n) = -3*n. What is c(a(f))?\nAnswer: 21855084*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7368389370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.06 take away 173009841?\nAnswer: -173009829.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*i - 72 = 635*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2544 or 2481?\nAnswer: 2544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 427136 or 0?\nAnswer: 427136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -18, -7, -3 in decreasing order.\nAnswer: 2, 1, -3, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/13 (b) -0.3 (c) -4\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4)*o)\/o)**(-47) assuming o is positive.\nAnswer: o**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 23, -5, 0.066, -0.3?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.037 in -0.4, 0.4, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58*14\/((-2352)\/(-18)) and 47\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7369 is divided by 638?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -11*s**4\/24 - s**3\/2 - 79*s**2\/2 - 4*s - 4. Let v(i) be the first derivative of t(i). What is v(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + m - 3*m**3 + 2*m**3 + 0*m**3. Let o be h(0). Let a = o + 4. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 23*m + 13 - 5.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131.3 + -122. Let o = t + -9.30000225. Round o to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 6, e: 3, k: 3, m: 2}. Give prob of sequence eam.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139321437, 278642875, 417964313?\n\"Answer: 139321438*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 15 = 5*d, 5*u + 8*d = 7*d + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 17017 = 6*q. Suppose -4*s = 12, -11*s = 2*x - 8*s - q. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (13 + -53 - -62).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m + 10. Suppose 3*g - 3*s - 3 = -6*s, -s = 2*g. Let a(b) = -1. Let k(l) = g*f(l) - 6*a(l). What is the first derivative of k(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j + 2. Let z be o(-5). Let h = -3 + z. Find the second derivative of -2*n**4 + n - h*n + 4*n wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/162)\/(6\/(-8))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-426)\/(-1349))\/(4\/266). Solve 39*v + c*v = -480 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13 (b) 2 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 669535 and 0.19.\nAnswer: 127211.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 220351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 52*m**2 + 15*m**2 - 31*m**2 - 27*m**2.\nAnswer: -95*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.327237 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 5)\/(66\/(-7359))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192.391 + -0.391. Let k = -291 + d. Let n = k - -98.9856. What is n rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-11)\/(-6) + (-24)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-4\/9)*h))\/h**8*(h\/h**(1\/7))**32 assuming h is positive.\nAnswer: h**(1126\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9764837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0 + 0 + (-4*l + 4*l - l**2)*(2 - 2 + 4))*(164 + 140 + 520).\nAnswer: -4944*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - (0 + sqrt(300)))) + -1 + -2 + 1 + sqrt(300))**2 - (-2 + (5 + (1*sqrt(300) - sqrt(300)) + sqrt(300))**2).\nAnswer: -180*sqrt(3) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b**(1\/5)\/b))\/(b*b*b**(-1\/37)\/b*b*b*b))**(2\/17))**(-29))**(-9\/4) assuming b is positive.\nAnswer: b**(-56637\/6290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71.2213 - 71.3. Let s = m + 0.09547. What is s rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -234 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9063289 - -278\nAnswer: -9063011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2484 and 6268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**4 + 6*p**3 + 2*p**2 - 2*p + 4. Let h = -13 + 9. Let u(o) = -17*o**4 + 17*o**3 + 6*o**2 - 6*o + 11. Let c(n) = h*u(n) + 11*y(n). Factor c(v).\nAnswer: 2*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0048 in -3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 500\/30 - 2\/(-6). Let o = -14 + p. Let h = 1934 + -1931. What is the greatest common factor of o and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 + 14 = 0. Let d(g) = -b + 0 - 12 - 6 + 13*g. What is the units digit of d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 56. Differentiate 17 - 53*k + 53*k + 14*k**l wrt k.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-460 + 460 + 9*l)*(l**2 + 2*l**2 - 4*l**2) + 0*l**3 + 2*l + 10*l**2 - 11*l**2 - 11*l**3.\nAnswer: -20*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s. Let b = 17 + -18. Let o(g) = -g + 2*g - 2*g - 1. Let c(r) = -5. Let y(f) = b*c(f) + 5*o(f). Determine q(y(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19405759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.345 - 11.344920575. Round h to six decimal places.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:38 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0565.\nAnswer: -0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-9)\/(-36))\/(1\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + (-108)\/(-14). Suppose 0 = r*h - 6*h - 18. Solve -2*p = p + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 100, 0.5, 1\/4, -106\/2171?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2192 + 173*v**2 - 62 - 67*v**2 + 10818*v**3 - 106*v**2 wrt v?\nAnswer: 32454*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169646 and 6886?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 82. Let d be (2 + v)\/((-2)\/(-2) + 0). Solve 4*o = -0*o + h + 9, 5*h - 15 = d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3381 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from vvvffvvv.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-10)\/55*-1.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 1511. Let l(r) = -5*r**2. Calculate h(l(q)).\nAnswer: 25*q**4 - 1511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1\/29, -9.4, 4 in descending order.\nAnswer: 4, 3, -1\/29, -5, -9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.7583177 to two dps.\nAnswer: 23.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-51 - 10) - -22\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -0.2 (c) 2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20430 (base 5) in base 9?\nAnswer: -1776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 26\/5, -0.05, -5 in descending order.\nAnswer: 26\/5, 0.1, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 7*b**2 + 6*b - 10. Let t be x(-6). Let m be ((-8)\/t)\/((-6)\/(-150)). Let o = m - 3. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2922*s + 2922*s + 32*s**3.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + j - 4757 = -13350, 4*f = 3*j + 11464. Is f a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7848, 11, -3 in increasing order.\nAnswer: -7848, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*v + v - 8, 5*v + 2*w = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 11, b: 3, v: 5, t: 1}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -442*j**3 + 1113*j**2. Let b(t) = -221*t**3 + 556*t**2. Let u(p) = 11*b(p) - 6*y(p). Find the third derivative of u(r) wrt r.\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 251.2374 + -251. Round d to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 1896, 6230, 14670, 28584, 49340, 78306?\nAnswer: 116850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*p**2 - 2*p**2 + 2*p + 6*p**2 + p - p + 2*p**2 + (2 + 0 + 0)*(-5*p**2 + 4*p**2 - p**2).\nAnswer: 4*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.228 - -12.472. Let m = -13 + p. Let y = -0.30000061 - m. Round y to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 135, 177, 247, 351?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1111101010000111100111?\nAnswer: 1111101010000111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*sqrt(847)*1*6 - ((5 + sqrt(847)*-1)**2 + -2)) + 3)*2*-3.\nAnswer: -26010 - 4620*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -474?\nAnswer: -5\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135148?\nAnswer: 2, 13, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/6*(-328)\/(-24) - (-3)\/9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1418500 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**4\/12 + 82*c**3\/3 + c**2 - 22. Let o be q(17). What is the greatest common factor of o and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1008)*1 - (sqrt(1008) + (sqrt(1008) - -3*(sqrt(1008) - (sqrt(1008) + 1)))))*1 - (-4 + (1 + sqrt(14)\/sqrt(50))*4))**2.\nAnswer: 336*sqrt(7)\/5 + 22177\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -5*z, -4*o = -z - 484. Suppose -1036 = 106*v - o*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*n + f, 3*n - f = 4*f + 37 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3451, 3456, 3463, 3472, 3483, 3496?\n\"Answer: i**2 + 2*i + 3448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 20*i = -3*d - 40, 2*i + 4*d = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 11*m**4\/12 - 7*m. Let z = -67 + 85. Let u(r) = -38*r**2 + z*r**2 + 18*r**2. What is b(u(f))?\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 23 - 21) + (-9 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1611 (base 8) to base 14\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 225*b + 99. Let r(l) = 9*l + 4. Let d be ((-128)\/48)\/(4\/(-6)). Determine d*y(h) - 99*r(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1266, -2519, -3780, -5055, -6350, -7671?\n\"Answer: -j**3 + 2*j**2 - 1252*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267933*g**2 - 803757*g**2 + 267929*g**2 + 267899*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + l + l - l**2 + 4*l - 3*l**2.\nAnswer: -4*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**3 - 37*j**2 + 37*j**2 + 3*j**3.\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/24 - 5*s**3\/12 - 3*s**2\/2 - 24*s. Factor f(o).\nAnswer: -(o + 2)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 4\/11 (c) -1\/4 (d) -0.5 (e) 415\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2142 and 3654?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/540 + 4*y**5\/135 + 13*y**4\/108 + 2*y**3\/9 - 547*y**2. Suppose x(z) = 0. Calculate z.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {i: 1, t: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*w - 308. What is the smallest common multiple of w and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-6)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = -1, -3*t + 15 = 5*l. Let r(w) = w**2 + 7*w - 1. Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, e: 1, l: 1}. What is prob of picking 1 w and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*q - 15*q - 28*q - 8*q in the form k + y*q and give y.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 0 = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 4*p + 0 - 2*p**2 + 1\/6*p**3. Let u be (-3)\/(4\/(-5 - -1)). Calculate d(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1112 - 1089. What is the remainder when 395 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*y + 28 = 4, -2*r + 12 = -2*y. Suppose -r*k - 175 - 60 = -2*m, 0 = 2*k + 4*m + 178. What is k rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 2*x - 3*x)*(1 + 0 + 0) + 4 - x - 4 + 1932*x - 4 - 1708*x + 7 to g*x + d and give g.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Let t be 4\/(-12)*-1*15. Suppose 3*a - j = -5*j + 23, -t*a - i*j = -31. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.3927?\nAnswer: -0.7854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -2*r + 4*r + t, -5*t + 97 = r. Calculate the remainder when r is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248067 - 146167. Round c to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-28) - 30\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*f**3*u**2*v**2 + 2*f**3*u*v**3 - f**2*v**3 - 32*f**2*v + 2*u**2 wrt f.\nAnswer: -492*u**2*v**2 + 12*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1128533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30175.63 rounded to the nearest 10?\nAnswer: -30180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-6 - (-20 + 18 + 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-5))\/x*x**(3\/4))**(5\/2)*x**(-5)\/x**3*x\/x**0*x\/((x\/(x**6\/x))\/x) assuming x is positive.\nAnswer: x**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3062*j**3 + 2200 wrt j.\nAnswer: -9186*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-1)\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*l + 3. Suppose -7*a = -l*a - 4. Is ((-3)\/(-1) - a) + 127 + -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18\/35 + -232\/315. What is the closest to 0.2 in -0.15, t, -0.2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-8) - (3386 - 3355 - 407\/4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194964 and 1804.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 23. Determine c(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -759921*t**4 + 380637*t**4 + 337 - t**2 + 380018*t**4 wrt t?\nAnswer: 17616*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsrs. What is prob of picking 1 s and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*v + i, -5*v + 5*i + 413475 = 413365 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 - 15*a + 22. Let x(v) = -9*v**2 - 28*v + 43. Let c(s) = -11*p(s) + 6*x(s). Let i be 10 - ((1 - -1) + 0). What is the units digit of c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*u**2 + (-4*u + 5*u - 2*u)*(-u - 2*u + 2*u) - 2*u**2 + 6*u**2 + u**2 - 2*u**2 + u - u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f + 146. Suppose 165 = 24*c - 75. What is the remainder when i(12) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sckik. Give prob of picking 1 k and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -3040122320?\nAnswer: -3040122320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -26779.1655 to the nearest 100.\nAnswer: -26800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6216\/(-1456)*(-6)\/9 and 44\/67.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2930 and 9962?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149142 + 300437. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*c**2*m**2*p - 392*c**2*m**2 - 20*c*m**2 + 8080*m*p wrt c?\nAnswer: 350*m**2*p - 784*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/12 - (-282)\/(-8). Let g = t + 70. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27984 and 3564?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*r**2 + 1223 - 3*r**2 - 155*r - 7*r**2 - 6469 wrt r.\nAnswer: -34*r - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*j = 36, -h + 0*j = -j - 9. Suppose 0 = -h*n + 4*n. Suppose o + n*o = 4. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.809 + 0.826. Round b to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + 1279*l + 16101. Give b(-13).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27d51b (base 14) in base 9?\nAnswer: 2534627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16174916*r - 16802443*r + 10525019*r.\nAnswer: -22452340*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*p, -b - 4*p = b - 20. Let z = b - 14. Solve z*x + 7 = 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 239 - 130 - n**2 - 118 as a + o*n**2 + t*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11530 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b1 (base 16) to base 8.\nAnswer: 11661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1213 + -1133. Which is greater: 2\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2 + sqrt(20) - sqrt(20))*-3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - y**3 + 4)*(-7 + 0 - 1)*(18*y - 22*y - 9*y).\nAnswer: -104*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147372261.\nAnswer: 3, 293, 389, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 18 = 9*j. Does 24 divide j\/((-8)\/18)*(-64192)\/(-177)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -3, -2, 1, 6, 13, 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - 13 - (-25 + 0 - 1). Suppose -t + 2*c = -19, -92 = -5*t - 2*c + h. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29829 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**5\/30 + t**2\/2 - 1. Let o(n) be the second derivative of c(n). Let d(x) = 28*x**2 + 29*x**2 - 55*x**2. Give d(o(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Suppose x*t - 6*t = -48. Calculate the greatest common factor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259611629 divided by -1114213.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*1.458365\nAnswer: -0.875019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 - (-12)\/2. Let b = 1 - 4. What is the units digit of (b\/2)\/(p\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 9*b = -3*b + 46, 34 = a - 4*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 + 366\/24. Let t = 17 - g. Suppose 3*r - 5 - t = 0. Solve -j - r*a = 3*a + 12, 2*a + 18 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 - 12 = -4*n, -4*n = v - 4. Solve 4*r - 4 = -n*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 84*g**2 - 2*g - 1. Let h be z(-1). Suppose 6*s + h = s. Let q = 19 + s. Calculate the lowest common multiple of q and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1037 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 14*x**2 + 1259*x + 2567. What is d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, k: 2, w: 1}. What is prob of sequence jjjw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12509 and -151.\nAnswer: -150.87491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -3. Let s = -2 + y. Solve 0 = -5*b - 0*b - 4*u - 22, -16 = s*b + 2*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - t - 3. Let f be a(3). Suppose 0*j - f = -j. Sort j, 0.4, -4 in descending order.\nAnswer: j, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12652 or -12648?\nAnswer: -12648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*150\/60?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3193 or 5\/628?\nAnswer: 2\/3193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = 0, 4*b - 2*o - 3 = 7. Let x(s) = -2 - 2 + 5 + s. Let i be x(4). Solve -i*l + b = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = 10. Suppose 4*w - 2*n = 6, n - 9 = -d*w + 9. Suppose -7*f + 3*c = -w*f - 48, f = -c + 12. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, l: 2, r: 1, u: 1, h: 8}. What is prob of picking 1 l, 1 r, and 1 b?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271664247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {i: 2, e: 3, u: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*j + 3*m, 5*j - 5*m - 13 = -23. Let z(v) = 2*v + 6. Let w be z(j). Solve 2*t - w = 7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (-25 + 3 - -12)) + 48\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*b - 107 - 37 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.8. Let h = 52 + -106. Let l be 9\/h*-2*1. Sort l, -0.2, b.\nAnswer: b, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s**3*x**2 + 7581*s**3 - 1593*s*x**3 wrt x.\nAnswer: 6*s**3*x - 4779*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3) + 1332\/54. Is x >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-182)\/21)\/2 + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 4356. Is (3 + -7)\/(3\/u) - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/4 + c**3\/3 + c**2\/2 - c + 1. Let l = 6 + -15. Let h = -8 - l. What is t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 35. Let u = 34 - 9. What is the remainder when u is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867867?\nAnswer: 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7797.9 - -7798. Which is the third smallest value? (a) 4\/7 (b) -98 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-464)\/170 - 24\/(-8). Let f = d + -7\/51. Suppose -2*a + 3*t - 16 = -t, 2*a = -4*t + 16. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379521232?\nAnswer: 2, 3, 11, 500741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 885.8 + -886. What is the smallest value in 6, 1, s, 21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 309971105*k - 13702846 wrt k?\nAnswer: 309971105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + -4*sqrt(288) + -2 + sqrt(288) + -1 + sqrt(288) + 0 + sqrt(288) + 5 + -2*sqrt(288) + -4)**2.\nAnswer: 216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 29. Let d be f\/(((-2)\/24)\/((-2)\/(-9))). What is the derivative of 3*m + 0*m + 3*m - d wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1414, -5, -2 in increasing order.\nAnswer: -5, -2, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 80, 272, 634, 1220, 2084?\n\"Answer: 9*p**3 + 4*p**2 + p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -19*l + 196. What is v(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -41, 0.4, 3, 89, 409?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1752552 (base 8) to base 7\nAnswer: 4235516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 - 6*m**2 + 2*m - 6. Calculate the remainder when 43 is divided by d(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 658*j - 3940. Calculate i(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6521848 is divided by 537.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -580757*w - 2323031. What is t(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 5*j - 4*j)*(4*j**4 - j**4 - 2*j**4) + (537 - 2*j**4 - 537)*(100 - j - 100).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - v - 3*v = 212, 4*u + 3*v - 291 = 0. Suppose -u = -g - 3*g. Suppose -32 - 1 = -c. What is the remainder when c is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99.107 + -99. Let g = -0.116 + d. What is g rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(1\/4))\/(f\/(f*f**(-1\/3)*f)))**26)**(-1\/8) assuming f is positive.\nAnswer: f**(-455\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - 59\/(-4). Let z = -5062 + 5078. Suppose a*r - z*r = -3. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111370352 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 102477210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 96 = -u. Let j(g) = g - 1. Let o(r) = -2*r + 1. Let s(w) = 5*j(w) + 3*o(w). Let p be s(-5). Calculate the greatest common factor of p and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/sqrt(5) - sqrt(11)) + -5)**2 - (-5 + 2 + sqrt(11)).\nAnswer: -sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/20 - 11*m**5\/60 + m**3\/6 + 2187*m**2 + 2. What is r(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1851406 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13155 is divided by 286?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**3*m*n - 24*c**3*m + 10*c**3*n + 2*c**3 + 9*c**2*n - 1069*c*m - 5 wrt m?\nAnswer: -3*c**3*n - 24*c**3 - 1069*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 8. Let q(t) = t**3 + 7*t**2 - 2*t - 8. Let c be q(-7). Determine i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -9 + -4 + 19 + -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 773\/13 - 5892\/91. Find the common denominator of j and -149\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 - 2*y**2 + 10*y. Let k(q) = q**2 - q. Calculate 2*k(s) + t(s).\nAnswer: -3*s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 times -0.02?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*z - 5*z**3 + 100*z - 86*z - 79*z + 153*z.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 1, c: 2, k: 1, r: 2}. What is prob of sequence zc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 926 = -k, -7*k - 1856 = -9*k - 2*l. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 27307 + 0*o + 3*o - 27306. What is q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1114*w + 3. Let l be -3 + 13\/5 + (-26)\/10. Let o be x(l). Let q = o + 4882. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/48 and -163\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 + 5 = 2*a, 3*p = -a + 15. Find the third derivative of 39*c**2 + p*c**5 - 54*c**4 + 43*c**4 - 3*c**5 wrt c.\nAnswer: 60*c**2 - 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 2*f**7\/21 + 7*f**3\/2 + 24*f. What is the second derivative of y(j) wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + 1. Suppose -l + 68 = 4*c. Let m be 18\/6 - (1 - 4). Solve -w + m*w - c = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 43 - (-2)\/(-1) - -5. Suppose -p = -11*w - 2. Solve -2*c = u + 8, -3*u + 14 = -w*c - 6*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15198860 divided by -7030.\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 + 1 + 0 + 2 - 5 + 3 + 0 + (-1 - 3 + 2)*(1 + 0 - 2) - 2 - 1 + 4)*(j - 3*j + 0*j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*g - j - 165, -5*j - 54 = -g. Let n(b) = -b**2 + 17*b - 59. Let d be n(10). Solve 7*f + g = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-40461)\/(-4503) + (180\/(-285))\/(-12)?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 11) in base 6?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29177.27 nanograms?\nAnswer: 29.17727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:05 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1326400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*g = -15, -30*s + 31*s + 10 = -3*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461 - 463. Sort 0.14, 9, k.\nAnswer: k, 0.14, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c + -1?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26022037.\nAnswer: 457, 56941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 3*w**2 - 4*w. Let y be k(3). Let n = y - -27. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3618\/57)\/((-2)\/11). Let g = -349 - o. Let k = -3 + 2. Put g, k, -0.1 in increasing order.\nAnswer: k, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzct when four letters picked without replacement from {c: 3, z: 2, k: 1, t: 3, o: 1, f: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 120. Let p = 289030560.0000061 - 289030502. Let s = t - p. Round s to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1663*k**4\/12 + 1603*k**3\/6 - 3*k + 149. Find the second derivative of v(f) wrt f.\nAnswer: 3326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -118 + (24 - 90) + 245\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 + 12*p + 16. Let x be v(-3). Suppose -11*q + x + 5262 = 0. What are the prime factors of q?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 9. Let g = -855 + 857. Give j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from anunu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let p(j) = 2*j + 8. Let b = 1 + -2. Let c(k) = 1. Let v(m) = b*p(m) + 8*c(m). Calculate v(u(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1361 - 326 - 1737 + 640 - 548)*(2*n - 2*n + n**2).\nAnswer: -3332*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1178\/7 - 168. Let w be (81\/(-6))\/(3 - 9) - 2. Which is the closest to w? (a) p (b) -5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 561.92691 and -0.9.\nAnswer: 561.02691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*c - 2*a, -c - 3*a = a - 32. What is the lowest common multiple of 16 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -48, -2, -138, -14, -5 in descending order.\nAnswer: -2, -5, -14, -22, -48, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 2*h**2 - 2*h**2)*(h - h - h**2 + (-h - 3 + 3)*(3*h - 4*h - h) - 3*h**2 + 7*h**2 - 2*h**2).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 10 + 17. Suppose s*y = 182979 + 570021. What is y rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/146 and 62\/657.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than or equal to 319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 94540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47, -45, -41, -35?\n\"Answer: x**2 - x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 5, 4 in decreasing order.\nAnswer: 141, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*n + 19, -51*n + 4*c = -46*n - 45 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/8, -2, 4, -14, 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -152181.3 and -0.031.\nAnswer: -152181.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-17)\/(-4) + ((-305)\/4 - (-213 - -194))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0047 or 57702?\nAnswer: 57702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4118\/95 - 222\/5. Which is greater: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -176573*f**3 - 162*f**2 - 162*f. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2852.984 and -22132.6.\nAnswer: -24985.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-24)*(-22)\/33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 20, -5*i - 33 = 5*k + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u - 17*u + 9 + 16*u. What is the remainder when r(-5) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3535970800?\nAnswer: 2, 5, 8839927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*t)*(-3*t + 5*t + 0*t) + t**2 + t**2 - t**2)*(2*t + 2*t - 6*t)*(0 - 5 + t**2 + 3).\nAnswer: 6*t**5 - 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6885*t**2 + 55059*t + 11. What is c(8)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-143)\/(-66) + 3\/(-18). Factor -2\/5*t**3 + 0 + 2\/5*t + 0*t**v.\nAnswer: -2*t*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -261020 or -261022?\nAnswer: -261020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5 + 137612*b**4 - 275206*b**3 - 688052*b**2 + 825648*b = 0.\nAnswer: -2, 0, 1, 3, 68804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 297414.57 months in millennia?\nAnswer: 24.7845475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 43736140 to the nearest 10000.\nAnswer: 43740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooyoooooooyo?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 + l**3 - 4*l**3 - 2*l**3 + l**2 + 5*l + 4*l**3 to the form t + h*l**3 + i*l**2 + q*l**4 + n*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, a: 1, p: 4, r: 1, n: 3}. Give prob of sequence nprn.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-48))\/(1\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31463403280 and -161?\nAnswer: 31463403119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935682 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/8 - 6\/24. Let n = -6 + o. Let t be 0 - -2 - 250004\/n. Round t to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) -29 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4\/17, 2\/3, 0.2 in descending order.\nAnswer: 2\/3, 0.4, 4\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 b, and 1 k when four letters picked without replacement from reeegexeeekxrreexbe?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78 - 3\/4*p**2 - 81\/2*p.\nAnswer: -3*(p + 2)*(p + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*-13 - (1472\/230 - (-35)\/(-25)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (456\/(-32))\/((-3)\/8). Suppose -l = -3*g - 0*l + s, 3*l - 18 = -2*g. Let y(t) = 34*t**2 - t + 2. Calculate the remainder when y(1) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (164\/5 - 8\/10) + -5. Suppose 0*l = 4*l - 36. Let v be l\/m + (-1)\/3. Which is the second smallest value? (a) v (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:13 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Suppose t = -3*h - 2*h - 10. What is the remainder when 0\/((-4)\/h) + 18 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69.6 and 117471.\nAnswer: 8175981.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826*x = -1925*x - 396 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 2a02373?\nAnswer: 2a02371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = -0*p. Suppose -p - 2 = -3*t. Let y(m) = m**3 + 4*m**2 + m + 4. Let j be y(-3). Solve s + 25 = 4*h, -s = t*h + 3*s + j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*u + 4*u + u)*(-15*u - 39*u + 19*u) + (-4 + 4 - u)*(2*u + 4 - 4) + 21 - 21 - u**2)*(4 - 7 + 4) in the form d*u**2 + j + y*u and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 225\/2*k + 1\/6*k**3 - 243\/2 + 53\/6*k**2 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/((140\/(-15))\/7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + sqrt(11)*-4 + -2)**2.\nAnswer: -309 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 72*o**3 - 732*o**2 - 1152*o.\nAnswer: 3*o*(o - 32)*(o + 2)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13.92. Let n = -0.08 - m. What is the second biggest value in n, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/96 + 2\/(-6))\/(1134\/756)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c**2 - 12*c**4 - c**2 + 662*c - 27*c**4 - 17*c**2 - 1 - 2*c**3 - 664*c as p*c**3 + d*c + l*c**2 + w + x*c**4 and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322230187.\nAnswer: 23, 37, 1553737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -309 + 22249\/72. Let b = -613\/72 + j. Find the common denominator of b and 15\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -22*h + 202. What is n(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 11 + 11 + (-22 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 7 + 4\/8*12. Suppose h + 3*c - 8 = 0, -13 = -3*h - 2*c + 4. Let b(p) = 12 + h + 8*p - 11. Let y(v) = -15*v - 11. Give u*y(f) + 11*b(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(18) - sqrt(18)*-2*-5) + sqrt(18))\/(sqrt(9) - sqrt(144)*2) + sqrt(242) + sqrt(242) + 1 + sqrt(242) + sqrt(20)\/sqrt(90).\nAnswer: 1 + 103*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 9) + -10 - (-2 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -4*m + 5*j, 3*j + j - 76 = 4*m. Suppose -7*l - 198 = -72. Is l < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*q**4 - 11*q**3 + 689*q**2.\nAnswer: -960*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -39.6, -0.077?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/8)\/3*2. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1)*(u**7*u)\/u)**(6\/25)*(u**2\/(u*u**(1\/6)*u))\/(u**(2\/5))**(-3\/7) assuming u is positive.\nAnswer: u**(2273\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5347, -5349, -5351, -5353, -5355, -5357?\n\"Answer: -2*m - 5345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/x**(-1\/4))\/x*x)**40)**(-2\/143))**44 assuming x is positive.\nAnswer: x**(-720\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6186 is divided by 192.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16994100?\nAnswer: 2, 3, 5, 37, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 105?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 10. Let h be b(6). Let v = h + -8. Let q(n) = -n**3 - 5*n**2 - 3*n + 5. Calculate q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {n: 8, v: 3, j: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5 = -3*c, -3*c + 3*x + 17 = 5*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*(-9)\/(-3). Solve 0 = 3*g - 2*g + 1, 5*g = -l - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -357948\nAnswer: -357948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/(-10)*5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19204 greater than or equal to -134425\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152087507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46640 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q - 233*q - 82*q = 307*q - 8256 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1166 and 19558.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185578950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 13. Let t(n) = -4*n**3 - n + 1. Let w be t(1). What is the remainder when 42 is divided by v(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/15)\/((-2)\/10). Solve 5*u + 27 + w = 4*s, 3*s = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 2 + -3 + sqrt(1331)*-2 + -1 + sqrt(1331) - ((sqrt(1331) + 2)*6 + 2 + sqrt(1331) + -4).\nAnswer: -77*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 3*a**4 - a**4 + (a**2 + a**2 - 3*a**2)*(-a**2 + 4*a**2 - 2*a**2) - 73*a**2 - a**4 + 73*a**2 + 48*a**3 - 48*a**3 + 17*a**4.\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v. Let r be x(-3). Let g be (-8)\/(-6) - 28\/r. Which is the nearest to -1? (a) 0.2 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 9*j**2 - 17*j + 16. What is the lowest common multiple of 4 and f(-9)?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1161 + 1163. What is the fourth biggest value in y, 0.4, -3, 0.38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158.2 and -2.\nAnswer: -316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*w + 200 - 268 = 557. Solve w*r - 2*u = 5 + 9, -5*u = -2*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2. Let l(d) be the third derivative of 11*d**4\/6 + 70*d**2. Determine l(m(a)).\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-5*3*sqrt(756))\/((2*sqrt(567) - sqrt(567))*-1).\nAnswer: 1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (9 - (1 - -3)). Suppose -72 = -g*p + 34. Suppose 5*z - 12 - p = -5*r, -38 = -5*r + 4*z. Calculate the highest common divisor of r and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -51*l**3 - l**2 + 3*l + 3. List the prime factors of t(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 148*k**4 + 2656*k**3 - 20124*k**2 + 33048*k - 1728 = 0?\nAnswer: -24, 2\/37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - g - 532330, -5*u - 42*g = -44*g - 1330823. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.0017\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u - 78*u + 10 = 0, 3*i - 3*u - 99 = 0. Let w(f) = -71*f**3 - 2*f**2 - 2*f - 1. Let y be w(-1). What is the highest common factor of i and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = z - 14, -5*z + 0*i + 19 = 2*i. Suppose -5*o + 5*n = -41515, o - z*n = 4*o - 24885. Round o to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1595, -890, -183, 526, 1237, 1950?\nAnswer: 2665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:28 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5549 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*1*-10. Suppose x*l + 0*l = 3*p + 286, 283 = 5*l - 4*p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 + s - 2. Let o be z(4). Let n(m) = 5 - m**2 + 4*m + 3*m**o - 3*m**2. Suppose -16 = 5*g - 3*b - 21, 0 = -4*g + 5*b - 9. What is n(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 25. List the prime factors of 6 + 74 + (4 - d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49130493, 49130487, 49130477, 49130463?\nAnswer: 49130445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11156735 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 1. Let b be o(-6). Let l = b + 13. Let j(x) = 6*x + x**3 + 3*x - 6*x**2 - 7*x - 3. Calculate j(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -0.05 (b) -5823 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 12. Let a be q(-9). Let o(x) = 21*x - 3. Calculate the remainder when o(a) is divided by 17 + (96\/(-4))\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21185051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11 + 4 + 1 + 4*h + h. Let b = 6 - 0. List the prime factors of d(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - -169. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:39 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 6\/13 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 6\/5472817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (6 - 4)) + (-5)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 24 = 32*v. Suppose -2*x - v*x = -7608. List the prime factors of x.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 44. Solve -4*q + 0*n - 11 = -k*n, -2*q - 4*n = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1165 divided by -287310.\nAnswer: -233\/57462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-588)\/245)\/(7\/(210\/8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*y**3 - 26*y**3 + 13*y**3 + (-y**2 - y**2 + 0*y**2)*(-y - 3*y + 3*y) - y**3 + 0 + 0 - y**3 + 5*y**3 - 3*y**3.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:47 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 2*d + 1. Let l be y(-1). Suppose -2*t = l*c + 421, -10 = -3*t + 2. Let a = c - -220. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13336 + -11?\nAnswer: -13347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5576793466 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1443 + 19*o + 1443 + 6*o**3 wrt o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2550)\/(-85))\/(2\/12). Calculate the greatest common divisor of 80 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -11801?\nAnswer: -11819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h + 5*l + 36, -5*h = -14*l - 14*l + 24*l - 13 - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/4))\/s)\/s**1*(s*s\/((s\/(s*s**0))\/s))**(-14\/5))\/((s**2*(s\/((s*s**(-2\/5))\/s*s))\/s)\/(s**(2\/13)*s**(-2\/11)\/s)) assuming s is positive.\nAnswer: s**(-34543\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 2*d**2 + 308*d - 304. Give w(-17).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24539726 or 24539719?\nAnswer: 24539726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 22 - (47 - 56)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 3*x + 1. Let s be k(2). Let a be ((-6)\/(-45))\/(12\/180). Solve s*t = -5*o + 5, 2 = -t - a*o + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1524 (b) -2 (c) -0.02 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16601 (base 11) to base 10\nAnswer: -23354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/340 and -1\/110.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503 is divided by 167.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57367 + 57365. Let l(x) = 2*x + 2 + 2*x**3 + x**3 + 2*x**2 + 0*x. Calculate l(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101205541 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7901, -5102, 2505, 17326, 41767?\n\"Answer: 401*n**3 - 2*n**2 - 2*n - 8298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 1. Let d be (0 + 4)*2\/4. Let o = 1143 - 1144. Let v(j) = -5*j**2 - 18*j - 2. Let y(g) = d*w(g) + o*v(g). Find b, given that y(b) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660695\/6574 + 4\/3287. Is i bigger than -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29321916031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11102 (base 4) to base 8\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -286*v**3\/15 - 268*v**2\/5 + 144*v\/5.\nAnswer: -2*v*(11*v + 36)*(13*v - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1020, -935, -4, -1.\nAnswer: -1020, -935, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 - 9*w - 234*w + 3 to the form t + l*w and give l.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251 + -260. Let b = -10.88 + -0.12. Let z = y - b. What is the biggest value in 7, 1\/5, z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -48, -0.4.\nAnswer: -48, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 712.41 + -709. Let y = o - 3.410462. What is y rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/117 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -18\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8 (b) -0.01 (c) -2\/7 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71183?\nAnswer: 7, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2822*n + 16024 + 85568 = 0. Suppose 2*m + 29 = 5*w, 0 - 17 = -5*w - 4*m. Solve 21 = -w*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06003223 less than -21?\nAnswer: -20.93996777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162008 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15721, -31439, -47157, -62875, -78593?\n\"Answer: -15718*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -205? (a) 8 (b) -4\/7 (c) -53.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/7 - 53\/(-273). Let c(j) be the first derivative of 5 + 0*j - d*j**3 + 2\/13*j**2. Solve c(g) = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15618 is divided by 3423?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503 (base 8) in base 3?\nAnswer: -1010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -6. Suppose -u*z + 3*z - 911 = -b, -b + 887 = 2*z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 901 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727931246?\nAnswer: 2, 7, 6917, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 351409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = m + 13, 0*m - q = -2*m + 10. Suppose -3*n = -m*f + 21, -n - 1 = 4. Solve 5*g - 6 = -3*p, 3*g - f*p - 15 = -0*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 602*f**2 + 535*f**2 + 601*f**2 - 1738*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.18664 and -0.9.\nAnswer: -20.08664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 210 - 3?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 9\/20*h**5 + 0*h**4 - 2\/3*h**3 + 4*h + 0 + 0*h**2. What is the second derivative of d(w) wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481363900?\nAnswer: 2, 5, 4813639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(8\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/3 + 74*j**4\/3 - 646*j**3\/3 - 722*j**2\/3.\nAnswer: -2*j**2*(j - 19)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/12 - 5*z**4 + 150*z**3 + 170*z**2 + 3. Factor p(i).\nAnswer: -5*(i - 6)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -1, 2*l + w - 10 = 0. Suppose -j + 5 = g + l, 0 = -4*g + 2*j + 28. Solve g*u - 3 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85851964?\nAnswer: 2, 11, 347, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (207\/12 - 17)*(0 + 0)\/1. Solve -q = -5*p - 13, 38*q - 33*q + 5*p + 25 = g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 25. Suppose 0*q + 23 = 3*o - 5*q, 0 = -2*o + 4*q + w. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48683 and -65179127?\nAnswer: 65130444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/3590 and 5\/33499726.\nAnswer: 167498630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1486236826 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-420) - 6*3\/42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134089563 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 2*l. Let j(k) = -3*k**2 + 4*k. Calculate -11*f(r) + 6*j(r).\nAnswer: 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebbb when four letters picked without replacement from epbbbbbfbdeccefbbb?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 182*y. Let h(q) be the third derivative of -q**4\/8 - 8*q**2 - 2. What is h(v(x))?\nAnswer: -546*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6941138 (base 11) to base 9.\nAnswer: -24751366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2184a (base 12) to base 5.\nAnswer: -2410120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-20))\/((-9)\/30). Let d(w) = w**3 + 8*w**2 + 4*w - 6. Let z be d(-7). Let c = -249 + 249. Solve -z = -3*n + 3*h, c*n = -l*n + 3*h + 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95993.33 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 minutes after 7:22 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 1, -0.049, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45069128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.5. Let l = 117.6 - 118. Which is the second biggest value? (a) m (b) -2 (c) -4\/9 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a - a. Suppose a*b = -b. Put b, -2, 1 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 12 + 9 = 0. Solve -24 = -4*p + 2*n, 6*p + c*n - 4 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let u(m) be the second derivative of -38*m**3\/3 - 13*m**2\/2 + 3749*m. What is r(u(y))?\nAnswer: -76*y - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7290\/5832)\/(10\/4)*10\/11.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1580)\/(-25))\/((-4)\/10). Let t = 29 - l. List the prime factors of t.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1838.5 and 0.096.\nAnswer: 1838.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z + 78*z - 46 = -2*u, -2*z + 8 = 4*u for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2531487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) - ((-1)\/(-4) - 1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 93 + (222 - 180).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from kjjjjjkj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 595 - 42c?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.032 - -0.132. Let k = -1.3 + 1.1. What is the nearest to 2\/5 in h, -4, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/(r*r**(2\/5))*r\/(r\/r**(1\/16))*r**(-3))**(-39))**15 assuming r is positive.\nAnswer: r**(115479\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18061 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 16276266?\nAnswer: 65105064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 103369523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/8 + 75*h\/8 - 125\/4.\nAnswer: -(h - 5)**2*(h + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + k = 98, 2*q - 95*k + 91*k = 98. What is the remainder when q is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921*b**3 - 90*b - 930*b**3 + 90*b + 1850*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let q be 2\/3*(-51)\/(-413). Let h = 12\/59 + q. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 1. Let b(k) = 74*k + 7. Give 3*a(n) - b(n).\nAnswer: -83*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 75, 163, 267, 375, 475, 555, 603?\n\"Answer: -2*s**3 + 26*s**2 - 4*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5796, 6, -8.\nAnswer: -5796, -8, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 851*n + 69*n - 144*n - 114*n as w*n + i and give w.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21663, -43335, -65007, -86679?\nAnswer: -108351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2\/35, -3\/4, -1\/4, 5 in decreasing order.\nAnswer: 5, -2\/35, -1\/4, -3\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(288))**2 - (sqrt(98) + 1).\nAnswer: -7*sqrt(2) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(-5\/7))\/(i\/i**(1\/7)))**38 assuming i is positive.\nAnswer: i**(760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5123, 5122, 5121, 5120?\n\"Answer: -g + 5124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18 + 13 + 3*o - 2*o. Give f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 76327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 190284*l - 190280.\nAnswer: -4*(l + 1)*(l + 47570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 291029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101513 + 34328 = -2196*l + 6277 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 4, -0.065, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 10 = 5*h, -n - 4 = 2*h. Suppose 3*w + z = 5*w, z - 4 = n. Solve 0*x - 4*x + w*v = -16, x - 3 = v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45719 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186015235 - 185952049.2068. Let g = 63200.79319956 - v. Let k = -15 + g. What is k rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6364 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t**2 + 7*t**2 + 65*t**2 + (-t + 2*t - 2*t)*(t + 1 - 1) + t**2 - 4*t**2 + 2*t**2 - 4*t**2 + 2*t**2 + t**2 to the form f + o*t**2 + d*t and give o.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*w + 3 + (24 + 3 + 101)*(-2*w + 0 + 2 + 2) + 1 - 1 + 2*w - w + 5*w - 2*w + (-w - 2*w + 4*w)*(-1 + 3 - 3).\nAnswer: -255*w + 512","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -124. Which is the closest to -10\/11? (a) f (b) 1\/4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -201*h**3 + 2*h**2 - 65*h + 321. Find the second derivative of y(c) wrt c.\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -2 (c) -2\/53 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {c: 4, r: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/477 - 75311\/2385. Let y = r - -32. Factor -6\/5*t + y*t**2 + 4\/5.\nAnswer: 2*(t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 - 8\/(-40). Suppose j = m + c - 8, -4*m - 3*c + 33 = -0*c. Factor 14*q**4 - 14*q**2 - 2*q**2 + 31*q**3 - 46*q**4 + 2*q + m*q**3.\nAnswer: -2*q*(2*q - 1)**2*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k - 10. Let g(u) = 1859*u**2 - 2028*u - 20280. Let i(q) = -10140*a(q) + 5*g(q). Let r(p) = 6*p**2. Give i(r(c)).\nAnswer: -30420*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169188255?\nAnswer: 3, 5, 19, 433, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1616 divided by -466?\nAnswer: 808\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(125) - sqrt(125)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 45. Suppose 96 = 8*w + h. Suppose 12 = 4*p + 3*x, -4*p + 2*x + 38 = p. Solve -5*t + p = -3*t + 4*y, -5*t - 3*y + w = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282148\/30 + (-38)\/(-570)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32758 is divided by 2713?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and (-1 - -3)*6\/(-84)*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1686*j = -1681*j - 6, 5*g + 5*j = -10. Which is the closest to -2\/11? (a) 0.047 (b) g (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -1. Let m be g + 5*6\/3. Suppose -4*d = -2*d - m. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191508734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22 + (-30)\/(-9)*(-6)\/5. Suppose g + 9 = 3*f, 3*g + 1 = 5*f - j. Suppose 3*q - 345 = -2*b, -3*b + f*q + 28 = -522. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 38 = -253. Let w = q - -48. Which is the fourth biggest value? (a) 0.3 (b) 7 (c) -3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/((-1680)\/(-42))*(-36)\/28\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 151 (b) 4 (c) -0.1 (d) -3 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 39 = 55. Let b(p) be the first derivative of -p**3 + 5 + 0*p**2 - 1\/4*p**x + 0*p. What is the third derivative of b(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480246 at least 7401234\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1417\/10 smaller than 0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5288414045 to the nearest integer?\nAnswer: 72721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + 1.7. Let c = -3 + n. Let y = -0.7 + 0.6. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 25. Let l be v(5). Solve l = 4*a - 3*r + 4*r - 15, a = 4*r - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418642827 by -37.\nAnswer: 11314671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(192) - (sqrt(243) + sqrt(243)*1))**2 + ((sqrt(225) - (sqrt(225) - sqrt(225)*-1) - sqrt(225)) + sqrt(225))\/(sqrt(33)\/sqrt(275)).\nAnswer: -25*sqrt(3) + 1803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -10c?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5177*i**2*t**2*v**2 + 2*i**2*v**2 + 9*i*t**2*v - 7*i*t*v**2 + 3*i wrt i?\nAnswer: -10354*t**2*v**2 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 12. Let y be g(-7). Let c be 50\/(-10) + (1 - y) + 8. Solve 0 = -5*a - 3*k - 10, 3*a + c*k - 25 = 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1976, 4485, 8666, 14519, 22044?\n\"Answer: 836*g**2 + g + 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1167225371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1587468?\nAnswer: -1587468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 47*s**8\/56 - s**5\/10 + 37*s**4\/4 + 168*s. Find the third derivative of m(k) wrt k.\nAnswer: 5640*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*j**5 + 3156741*i*j**3 + 2*i*j**2 + 11*i*j - 13*j**2 + j + 78 wrt j?\nAnswer: -60*i*j**2 + 18940446*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*o**4 + 70*o**4 - 12*o**3 + 252*o**2 - 41*o**4 - 299*o**2 - 586*o**2 wrt o?\nAnswer: -216*o - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 3*c**2 + 7*c - 1. Let w be d(-5). Suppose 13 = -q - w. Let a be (q\/(-18))\/(-1 + (-350)\/(-8)). Is a less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682, 319, -44?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 23*f + 4. Does 20 divide k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 + 9)\/((-1)\/(-3)). Calculate the common denominator of f\/30 - (-192)\/36 and 11\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 0.1, 28, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {q: 1, m: 1, x: 1, l: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1816*v**2 + 690*v - 690. Calculate the remainder when g(1) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -366.01 - -368. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 6*r**2 - 14*r + 11. Is q(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -1, 0.3, 103\/3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + q)*(-2*q + 0*q + 4*q) + 58 - 58 + 78*q**2)*(q**2 - 2 + 2) - 47*q**4 + 49*q**4 + 0*q**3 - 3*q**3.\nAnswer: 82*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175916, -175185, -174454, -173723?\nAnswer: -172992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1*(1290\/2150)\/((-102)\/4).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 59*o - 1. Let h(y) = 128*y - 43. What is z(h(d))?\nAnswer: 7552*d - 2538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2303*t**6*y - 11374*t**3*y + 200*t**2*y - 227*t**2 + 1054*t*y wrt t?\nAnswer: 276360*t**3*y - 68244*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 19}. What is prob of sequence rm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 2. Let c be u(2). Suppose -3*b = -6*b + c. Suppose 4*h + h - 20 = -4*l, 0 = b*h. Solve 5*n + 3*d = 21, l*n + 5*d = 4*d + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - r - 2. Let f be b(-4). Suppose f*n - 8 - 4 = 0. Suppose n*u = 4*u. Are u and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 36 + 8*h + 19*h - 33*h**2 + 6*h**3 - 30*h. Let f(w) = w**3 + 1. Let b(u) = 3*f(u) - z(u). Factor b(i).\nAnswer: -3*(i - 11)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/241 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*f**3 - 25*f**3 - 1302715*f**2 + 651363*f**2 + 651352*f**2.\nAnswer: 49*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let d(g) = 54*g**3 + 91*g**2 + 25*g - 17. Let s(l) = 27*l**3 + 45*l**2 + 12*l - 9. Let f(p) = r*s(p) + 3*d(p). What is t in f(t) = 0?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 103. Suppose -3*q - 4*k - 66 = 0, 2*q - 6*q - 3*k - 95 = 0. Let l be n(q). Solve -l = -f + 3*o + 2*o, f = 2*o + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -55*g + 4. Let a(v) = -122*v. What is o(a(b))?\nAnswer: 6710*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3020\/(-68) + 9780\/(-16626).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 310781 and 0.1.\nAnswer: 310781.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/858)\/(2\/11). Is d less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 17*b - 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000000101010011101100110 + -1010?\nAnswer: 100000000101010011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9614*k - 9639*k + 28850*k - 9626*k - 1560 wrt k.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 5:39 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 9*r**2 + 25*r + 248. Give w(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 91*y**5\/20 - 5*y**4\/2 + 3*y + 2. Find the third derivative of g(u) wrt u.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -46. Let s = 0.8 - -0.2. Suppose 0 = -5*p + 2 + 8. Which is the nearest to k? (a) s (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394596 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.901*1.5\nAnswer: 1.3515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -25*b**2 - 30*b + 30. Let a(k) = k**2 + k - 1. Calculate -150*a(u) - 5*x(u).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 604076642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i. Let c(y) = y**2 + 11*y + 8. Let q be c(-10). Let z be b(q). Solve m = z - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1 - 5\/2*p**2 + 7\/2*p = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286309 and 4775.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 293*w**2. Let i(v) = -3*v. Give h(i(z)).\nAnswer: 2637*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -216*h - 3*h**2 + 216*h. Let y(w) be the second derivative of -w**3\/6 - 3*w. Calculate y(s(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*h + 12, -2*h + 7 - 3 = 4*u. Suppose -3*b + 5*b - 6 = 0. Is 4 a factor of (-2)\/u - (-33)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 5. Let u(y) = -4 + 5 - 3 - 3*y + 3*y**3 - 2*y**3. Let t be u(-2). Give o(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15181141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*r**3 + 68*r**2 + 2*r + 2?\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**34*n)**(-2\/23) assuming n is positive.\nAnswer: n**(-72\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*s - 3*j, 5*s + 24 = 4*j - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 - 154.9. Which is the nearest to q? (a) -0.1 (b) -7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-190))\/(((-12)\/64)\/((-39)\/104)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -38\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104097749*r**3 - 512965009.\nAnswer: 312293247*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 174921795?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 318, 1544, 4176, 8742?\nAnswer: 15770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31401341, -31401342, -31401343, -31401344?\nAnswer: -31401345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.224 (b) -5 (c) 3\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j - 4*g, -9 = 4*j - g. Let p = 140\/33 + -43\/11. Which is the third smallest value? (a) p (b) -2 (c) j (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*v**3 - 2*v**2 - 2*v - 1 - v**3 + 0 in the form m*v**3 + c*v + k + z*v**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126335476*c**5 - 153879263*c wrt c?\nAnswer: -2526709520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70472206.\nAnswer: 2, 7, 109, 46181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 5 = 0. Let w = 1.249 - 1.309. What is the second smallest value in -4, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63\/22 - 689\/110. Let x = -1718.6 - -1716.6. What is the biggest value in p, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 13. Let q(s) = 7*s**2 + s + 1. Let h be q(1). Determine u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*w**2)*(3*w + 0*w + 0*w - 3 - 2*w + 3 + (0 + 2 + 0)*(-w + w - 2*w) - 2*w + w + 0*w - w - w + w) as n*w + i*w**3 + a + q*w**2 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1 (c) 1 (d) 2\/3 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z + 1. Let a be (-10)\/(-15) - (-11)\/(-3). Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7368 or 7365?\nAnswer: 7365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 35 + 11 - 6*h**2.\nAnswer: -6*h**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*j)*(2793*j**2 - 2799*j**2 - 14 + 2*j - j).\nAnswer: 12*j**3 - 2*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 8480.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34e + 6ed?\nAnswer: 39e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 - -4973?\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 154*r**2\/5 - 2886*r\/5 + 3042\/5.\nAnswer: -2*(r - 1)*(r + 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 14545336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1254 and -137\/289674.\nAnswer: 289674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/5)*(s**(2\/47)\/s)\/s*s**2*s**(1\/6) assuming s is positive.\nAnswer: s**(1141\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -17. Let x = 19 - p. What is the least common multiple of x and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*2*sqrt(152) + sqrt(152) + -1*-2*sqrt(152))\/((sqrt(1152) - sqrt(1152)*-2) + (sqrt(8) + sqrt(16)\/sqrt(2))*-1 + sqrt(8)).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, b: 1}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68570 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 divided by 415?\nAnswer: -497\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:05 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, -166?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 435 + 852 = 438. Let c(t) = t**2 + t + 1. Let u(m) = 2*m**2 + 2*m. Calculate v*u(q) + 3*c(q).\nAnswer: q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/15)*w**(-4)*w\/w**(-2\/3)*w*w*w**16 assuming w is positive.\nAnswer: w**(233\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54405 (base 8) to base 16.\nAnswer: 5905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2\/2 + 6587455*i\/2 - 6587445 = 0.\nAnswer: 2, 1317489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*t + 3. Suppose 0 + t = 2*i. Suppose d - i*x = 112, d - 3*x - 102 = 2*x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46496 or -5\/352?\nAnswer: -5\/352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 39*a - 15. Let h be f(-20). Suppose 2*v - 2*x + x = -1, 25 = h*v + 3*x. Suppose 2*p = 2 + v. Which is smaller: p or 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/24342 and -35\/132.\nAnswer: 535524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*1\/((-2)\/(-3)). Suppose 0*o + u = 2*o. Solve a - 2*a + 10 = 4*d, o*a = 5*d - 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3820*g*h**3 - 2055189*g*h**2 - 98*h**5 wrt h?\nAnswer: -22920*g - 5880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 1, t: 2, h: 5, e: 5}. Give prob of picking 2 t and 2 e.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 17 (c) -4 (d) -879\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647190206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 0*j**2 - j**2 - j - j**2 + j + (-2*j + 2*j + 2*j**2)*(3 - 3 - 1) - 2*j**2 + 4*j**2 - 3*j**2 + (58*j**2 - 31 + 122 - 59*j**2)*(-1 + 5 - 1).\nAnswer: -8*j**2 + 273","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1122, 2324, 3526, 4728?\nAnswer: 5930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.2 (c) -11782\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 67501440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2155125 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -10. Suppose 5 = 17*u - 29. Calculate the smallest common multiple of u and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10078 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: Round -0.00000103896032 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 6*p**2 - 11*p + 7. Suppose 5*b = -v + 4*v + 9, v = -4*b - 3. Let n(j) = 2*j**3 + 3*j**2 - 6*j + 4. Let m(r) = v*z(r) + 5*n(r). Give m(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 155. Suppose 4*p = -3*y + 136, 2*y - 4*p = r + 7. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23 - -96 - 4*1?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -1164908.\nAnswer: -25\/1164908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k - 132. Let a be f(-11). Let o(r) = 9*r - 19. Let c be o(a). Sort 5, -5, 4, c in ascending order.\nAnswer: c, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 4)*(0*a**2 + a**3 + 0*a**2) - a**3 - 5*a**2 + 5*a**2 + (0*a + 0*a + 2*a)*(-a**2 - a**2 + 4*a**2) + 0*a**3 + a**3 + 0*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 73a (base 16) to base 9\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -28, 4\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000403 to 5 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 263 - 159 = -146*l. Let t(y) be the first derivative of y**3\/3 + 5*y**2\/2 - y - 3. Let i be t(-7). Sort i, l, 5 in descending order.\nAnswer: i, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u - 5. Let t(s) = -s + 1810 - 1803 - 5*s - 2*s. Give 7*j(d) + 5*t(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -372 + 543. Let f be (-38)\/o + (-130)\/(-18). Let b(r) = r**2 - 10*r + 10. Determine b(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + (-27)\/(-6). Let b(q) = q**3 + q**2 + 2*q - 4. Let v be b(x). What is the first derivative of 38 + 20*k - v + 27 wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 35182698789338?\nAnswer: -35182698789338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 16. Let c = u - 2. Suppose -c*k = k - 21. Calculate the lowest common multiple of 10 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 8\/(-2) + -3. Let z = 34\/5 + g. What is the biggest value in -0.3, z, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + 13 + -18 + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 199. Let x(l) = -y + 2*l**2 + 64 + 2*l**2 + 14*l. Is x(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303 (base 8) in base 13?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*j + 2*n, -29752*n = -2*j - 29759*n + 113 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.1, 387, 2\/13, 7, -1\/4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 66*r - 30*r + 45*r - 45*r in the form t + l*r and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 9*j + 23. Let h be 3\/(-9)*(2 - 20). Let z be x(h). Let y(d) = 7*d**2 - 7*d**2 - z*d**3 + 3*d**3 - d. Calculate y(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13048 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5634123 (base 7) to base 10.\nAnswer: -697728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 23. Let z be n(4). Suppose z*b - 1476 = 3*b. What are the prime factors of b?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 27. Let c(f) = f**3 + 2*f**2 + f + 2. Let q be c(-2). What is the derivative of -o - 3 + 0 + p + q*o wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/40 + (-10)\/(-8). Let u(c) = 1 + j*c**2 - 3 - c**3 - c**2 - 3. Suppose -2*m = -m. What is u(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/6 + 106975*p\/6 + 427868\/3 = 0. Calculate p.\nAnswer: -106967, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(28\/(-16))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 2*p**2 - 2*p - 36. Let q(v) = -v**3 + 2*v**2 + v + 35. Give -4*q(d) - 3*r(d).\nAnswer: d**3 - 2*d**2 + 2*d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*w - 6496*w - 24694 = 7953*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5.898 + 5\nAnswer: 10.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4, -l = l - 4*w. Suppose -253*q - 18 = -247*q. List the prime factors of q\/((-18)\/300) + l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 0*o - 2*o)*(30 + 11*o + 1125 - 10*o + 825) as p*o**2 + r + u*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m. Suppose 0*k - 4*k - 24 = m. Is 15 a factor of 25*7\/((-35)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)\/((-16)\/(-56)). Let r(v) = v**3 - 8*v**2 + 6*v + 7. Let h be r(m). Factor -2\/9*w**2 + h + 0*w.\nAnswer: -2*w**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-3 - -1 - -1). Let w(x) = x**2 - x + 2. Let l be w(b). Find the third derivative of -2*g**4 - 3 + 3 - l*g**2 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhiixxfxvhfr. What is prob of picking 1 h, 1 r, 1 x, and 1 f?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 20. Suppose 4*l = 16, u + 219 = 6*u - q*l. Suppose 0 = 6*v - 7*v + u. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by (1739\/235)\/(1\/5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/107740 and -73\/8188240.\nAnswer: 8188240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/5)\/((1\/(-5))\/(32*(-225)\/2880))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9649 - -0.5.\nAnswer: 9649.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 4*q**3\/3 - 20*q**2 - 11*q - 4. Does 9 divide g(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29685125 to the power of 1\/2, to the nearest integer?\nAnswer: 5448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 + 17*j + 3*j**2 + 1\/6*j**4 - 2\/3*j**3. What is the units digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3.17?\nAnswer: -0.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 74?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4049 - 3563. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 + -440.\nAnswer: -439.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/91)\/((-444)\/(1480\/(-10)))?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 481244513943.\nAnswer: 481244513942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3165444, -12661776, -28489000, -50647116?\n\"Answer: -3165446*l**2 + 6*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:25 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1964013930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12310)\/(-40)*8 + -7?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65, -359, -857, -1565, -2489, -3635?\n\"Answer: -g**3 - 96*g**2 + g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13581030 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/8, 5, -4, 513 in ascending order.\nAnswer: -4, -3, 3\/8, 5, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*465\nAnswer: 69.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37750 and 11325?\nAnswer: 113250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 825?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 263167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 777242, 777297, 777352, 777407, 777462, 777517?\nAnswer: 777572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 7*b + 12. Calculate o(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 106, 1, 3, -0.01, -28?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -623\/2312?\nAnswer: -623\/2312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*b + 2*s, 0 = -368*s + 366*s - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.591968*4\nAnswer: 10.367872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:04 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (sqrt(66)*-1 - sqrt(66))\/sqrt(6) + (sqrt(704) + (sqrt(704) - (-3 + sqrt(704) - sqrt(704))) - sqrt(11)))**2.\nAnswer: -7440 - 104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457006.\nAnswer: 2, 11, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - p + 1. Let s(x) = -7*x**3 - 70*x**2 + 35*x - 35. Determine 210*o(m) + 6*s(m).\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 - 5*s**2 + 130.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16014367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 30120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (40 - 98) - (7 + -6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 1. Let g be p(-1). Suppose g = -2*i + 3*i. Solve 3*n + i + 10 = -5*c, -3*c - 5*n + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-99)\/6*(-8)\/6 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2129.9314 less than -46149.5?\nAnswer: -44019.5686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 97.0621us?\nAnswer: 0.0000970621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 158.83911ns?\nAnswer: 0.000000000044121975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34731677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/451 + 456\/2255. What is the closest to -13 in -4\/3, -0.22, a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1786 by -9.\nAnswer: -1786\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/6)\/((-3)\/(-164)). Suppose q = 4*u - 2*u. Suppose 0 = 4*p + 13 - 5, 4*p = l - u. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 - 52465.\nAnswer: -52328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 11. Let p be o(-8). Suppose k + p*k = 18. Suppose g = -2*n - 4300000, 0*n = -k*n. Round g to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -1. Let h = -0.51 - -0.21. Let f be -2 + (46\/14 - 1). Which is the nearest to 0? (a) h (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h - 1018906 = 50*h. List the prime factors of h.\nAnswer: 2, 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 34. Suppose 13*u = -2*z + 11*u - 14, 2*u - 90 = 6*z. Give k(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-2)\/((-22)\/4). Let b be (-13)\/156*-78*(-2)\/(-13). Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 2*o**2 + 11*o - 4. Let u be j(-6). Let p = 91 + u. Is 11 a factor of p*(0 + 6\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 - 5*t**2 - 8*t. Let j(u) = -2*u**3 + 4*u**2 + 7*u. Let d = 78 - 83. Let g(y) = d*b(y) - 6*j(y). Let r(f) = -f**3 - f. What is 2*g(m) - 5*r(m)?\nAnswer: -m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giq. Give prob of sequence iqg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4 = -h, -36 = 2*j - 316*h + 312*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5070575 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -673625 + -245?\nAnswer: -673870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3*t**2 + 3*t**2)*(-7*t + 11*t**2 + 7*t).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562 times -4?\nAnswer: -14248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 3 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - -35d?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 14 = 4*v, -10*h = -v - 5*h - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 77 = -4*k, -3*k - 2*m + 68 - 12 = 0. What is the fourth smallest value in k, -0.007, -0.5, -4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -651, -630, -609, -588, -567, -546?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 920 + -920. Let s = -2.57 + -0.23. Let d = s + 0.8. Sort d, 0.7, o.\nAnswer: d, o, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 2:51 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 3*o**3 - 3*o**3)*(4*o + 0*o - 2*o)*((2*o + 4 - 4)*(-4 + 2 - 1) - 16*o - 2*o + 5*o + (2*o + o - o)*(1 - 2 + 0)).\nAnswer: 84*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 45*i**2 + i - 3. Let k be s(3). Let g = k + -112. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/2 - 4*a**3\/3 + a**2 + 24. Solve q(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 - 0.12. Let u = i - 7.3. Which is the closest to 0? (a) u (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/(c\/((c\/c**(-8))\/c)))\/c)*c*c**20 assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 447533300 a multiple of 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 101. Let n be 10\/15*(-3)\/(-16). Let i = 2.9 + -2.5. What is the closest to n in x, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178144, -711757, -1601114, -2846215, -4447060, -6403649?\nAnswer: -8715982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -7\/97054 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1713910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -5*w - l, 2*l = 2*w + l - 73. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-14) - (2 + 224\/(-98)). Let x(z) = -z**3 + 8*z**2 - 3. Let k be x(8). Sort 5, -9, k, s.\nAnswer: -9, k, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lycmmtmttccyl. What is prob of picking 1 t and 1 c?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/(-125)*(-2)\/(-12)*-5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -u - 7797, r = 5*r - u - 31176. What are the prime factors of r?\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/5 (b) 2 (c) 24.4 (d) -0.078\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = b + 10, 0*b - 2*b = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/(3\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*2\/(-6))\/(-1). Let n be (-5)\/(-15)*(i + -1). Solve 0 = 3*l - n - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 divided by 13?\nAnswer: 765\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16486*i**2 - 33*i - 32. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from lvlvllvllll.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*t = 0. Let j = -118 + 62. Let v = 56 + j. Solve t = -5*k - v*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54100?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euueddeeewuetwuu. What is prob of sequence uwe?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Sort 3, g, 6 in descending order.\nAnswer: 6, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232497753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58278 and 786753?\nAnswer: 1573506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (((-129045)\/2)\/7)\/(-12) + (-22)\/176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 6, q: 4}. Give prob of picking 3 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -20, 6*p - 3*p = 5*f + 105. Let a(c) = c**2 + 19*c + 20. Let k be a(f). Let g(i) = -2*i**3 + i**2 + 2*i. Give g(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -30649\nAnswer: 4\/30649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 2*h**4 - h**4 + (-586 + 586 - 116*h)*(-h**3 + h**3 + h**3).\nAnswer: -121*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and 45\/459352?\nAnswer: 2296760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 27779 + 27779 - 2*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -56713489.7 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 5*h**2 + 4. What is the remainder when -19*(6\/(-6) - 0\/1) is divided by k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42720 is divided by 7120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgh when three letters picked without replacement from {c: 5, y: 1, a: 1, g: 2, h: 1, p: 7}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1289168)\/33096 + (-1)\/21\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from ttttttttrwwtwtototw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from ipiipiipipiiippiippp?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6976658.5542 - 0.05.\nAnswer: -6976658.6042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -184 (c) 2\/115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -119\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -44277883.6 rounded to the nearest 10000?\nAnswer: -44280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 20*r**2 - 37*r**2 + r**2 + 15*r**2 - 2.\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -74. Suppose a + 3*r + 616 = 0, j*r - 8*r = 4*a + 2448. Calculate the common denominator of 79\/24 and a\/48 + 5 - -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*(-8 - 58 - k + 7)*(4 - 1 - 1)*(6 + 0 - 3) in the form v + d*k and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1931 divide 896509232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.8 + -23.578. Let x = -412196.42200111 + 412196.2. Let t = s + x. Round t to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqppqqqqpqqpqpq.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1032 and 2001.\nAnswer: 688344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqf when three letters picked without replacement from {f: 9, q: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 2)*(54*s - 16*s**2 + 3 - 65*s + 15*s**2).\nAnswer: -6*s**2 - 66*s + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, 21, -1227 in increasing order.\nAnswer: -1227, -1, 21, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine fifths of a meter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10902185 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -344900, -344903, -344906, -344909, -344912?\n\"Answer: -3*b - 344897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571069, 2284839, 5141123, 9139921?\nAnswer: 14281233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 1:18 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 48*j + 50 to the form o*j + n and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375 is divided by 296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*m + 8856 = -5*m, -5*z - 4*m - 44258 = 0. Let p be (21\/14)\/((-1)\/14). Is 20\/35 + z\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2813 by 29.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220735, -220737, -220735, -220729, -220719, -220705?\nAnswer: -220687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1151, 1179, 1225, 1289, 1371, 1471?\n\"Answer: 9*m**2 + m + 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let k(p) = -2*p**2 + 29. Let t(r) = 1. Let m(c) = -k(c) - 4*t(c). Give i(m(o)).\nAnswer: 4*o**4 - 132*o**2 + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 - 52. What is the derivative of -5 + b*n**3 - 32*n**3 - 2 wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/42 (b) 5\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -508\/199 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1262*w**2. Let o(b) = 2*b. What is l(o(d))?\nAnswer: 5048*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-254)\/(-381))\/((-8)\/(-6)))\/((-5)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 48 = 3*n - 7*n, -3*k = -5*n + 38. What is the remainder when 25 is divided by n\/(-15) + 88\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 4*k**2 - 5*k + 4. Let h be c(-5). Let z(i) = -16*i - 8. Let r(y) = 2*y + 1. Let t(j) = -12*r(j) - 2*z(j). Is 12 a factor of t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 6. Let x(u) = -51 - 53*u - 50 + 94. Is x(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1560*y**2 + 513*y**2 + 533*y**2 + 524*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1475*4.8.\nAnswer: -0.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7495, 14248, 21001?\nAnswer: 27754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 67*r**7\/7 - r**5\/5 + 8*r**3\/3 - 20*r**2 + 1461. Find the third derivative of m(q) wrt q.\nAnswer: 8040*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 3. Let a be (-104)\/(-39)*(-18)\/(-8). Suppose a*o + 29 = 149. Suppose -b + l = 3*b + 17, 5*b - l + o = 0. Determine r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -12 + -8 + -24 + 32?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*b**3 - 355*b**3 + 1436*b**3 - 363*b**3 - 355*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*11\/(-33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.05 - -14. Let a = 0.25 - -0.1. Let r = a + u. Sort 3, -2\/5, r in decreasing order.\nAnswer: 3, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 12. Suppose -s + m = s, v = s + 25. What is the remainder when v is divided by (-28)\/(-3) + (-2)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 982, 983, 984, 985?\n\"Answer: t + 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + cc7?\nAnswer: cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -5\/4 (c) 4 (d) 47 (e) -0.2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 4274?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miivgievim. What is prob of sequence mem?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -232.04.\nAnswer: -232.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4\/2 - 8*v**3 - 27*v**2 - 28*v - 19\/2 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(0 + 2)\/(198\/(-39303)) is divided by 90.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**3 - 6*b + 13*b**3 + 9*b + 5*b to the form a*b**2 + z*b + j*b**3 + u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 times 88\nAnswer: -28.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -563.\nAnswer: 4\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 116 = -6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29417 and 8372.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.15288 centuries?\nAnswer: 0.715288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 0, w - o + 5 = -0*o. Suppose w = 2*b + 2*p - 359 + 109, -3*p + 121 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19543135427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 87515 divided by -17503\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10*-1)\/(28\/10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/1*(-9 - -12). Let b(s) = -31*s**3 + s**2 + s - 1. Let n be b(a). Let k = 56 + n. Calculate the smallest common multiple of 2 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 0 + (12 - -512). Let c = x - 295. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202 is divided by 146?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 1. Let m be p(2). Let t(l) = -l**3 + 4*l**2 - 2*l + 0*l + 5*l + 7 - l. Determine t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51414\/7790)\/((-6)\/(-50))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = -k + 18. Let s be (-672)\/(-80)*(k\/(-3) - 2). Suppose 7*z - s = 168. Does 49 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 466 and 3\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*t + 196 = 622*t. Calculate the greatest common divisor of 2793 and t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**8\/56 + 3*c**4\/8 - 2*c**2. What is the second derivative of a(i) wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*z + 16 + 5, -269*t + 273*t + 14 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i - 2. Let y be a(-1). Suppose -y = g - p, 4*g + 3*p - 10 = 7. Put 1, g, 0 in descending order.\nAnswer: g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -1 (b) -0.4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*d + d, 16 = 4*d. Let v(f) = -f**2 + 7*f - 15. Let q be v(h). Let t(s) = s**2 + 3*s - 4. Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 8*b**2 - 17*b - 1. Let k be v(-3). Find the second derivative of -g - 3154 + 3146 + 9*g**k + g**2 - 43*g**5 wrt g.\nAnswer: -680*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491246 plus -3?\nAnswer: -491249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.466l to millilitres.\nAnswer: 951466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:03 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 701, 4408, 14523, 34268, 66865, 115536, 183503?\n\"Answer: 537*d**3 - 18*d**2 + 2*d + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4005.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 87.00297 years?\nAnswer: 8.700297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6506.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 - 3*a + 4. Let q be y(7). Suppose v + q = 3*v. Calculate the lowest common multiple of v and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-119)\/(-3 + 2) + 27\/9. What is the remainder when 1*(f + -7)*1 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*371\/212\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3)*(-3)\/((-9)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 9. Let q be u(0). Suppose 0 = 4*s + 3*r - 5, -4*s - 3*r - 5 = -5*s. Sort q, s, -4.\nAnswer: -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 1)*(4 + (4 - 7))*1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -2\/3 (c) 0.0612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 - -1) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrklalr. Give prob of picking 1 k and 3 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12408333263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38 (b) 2839 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 8, 7*v - 2*v = h + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 5*n + 30 = 0. Solve -n*z + 25 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8560600 divided by 115\nAnswer: -74440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = q, 7*d + 2*q + 48 = 10*d. What is the third derivative of d*h**6 - 34*h - 3*h + 2*h**2 + 46*h**6 - 112*h**6 wrt h?\nAnswer: -6240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-150))\/(-2))\/(5*7\/(-175))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316465 and 7580.\nAnswer: 1265860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 159521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 319.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 100*r + 7058. Calculate v(-70).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -12. Suppose 0 = 4*y, -l - i = -3*l - 3*y. Solve 3*o + 2 = -3*s + 14, -s = l*o - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6*n + 8. Let q be w(6). Suppose -4*j = -q, 5*r + 6 = j - 6. Let m be 0\/(2 - (-1 - r)). Solve -3*f - 18 = 2*p, m = -3*p + f + f - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2821*y**5 + 4*y**2 - 252 wrt y?\nAnswer: -169260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccgccccccccccccccc. Give prob of picking 4 c.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2237*t**2 - 188*t + 1575. Is i(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51056 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let n = -42 + 76. Let w = n - 31. Let x(k) = k - k + w*k - 10*k. Give x(m(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkkvkvvkvvkkv. Give prob of picking 3 k and 1 v.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 1265184085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t + 3*t - 3*t)*(0 - 4 + 2) - t - t + 4*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 1 a when three letters picked without replacement from {o: 1, b: 1, a: 1, t: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2289 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23041 is divided by 281.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-m - 5*m + 2*m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43887 is divided by 137?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 40702768031360.1?\nAnswer: 40702768031359.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, j: 2}. Give prob of sequence mj.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a8b (base 12) to base 14.\nAnswer: -264b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 35*g**2. Let f(s) = 31*s + 28. Let t(c) = 21*c + 20. Let v(o) = -6*o**2 + 19*o - 20. Let h be v(1). Let p(a) = h*t(a) + 5*f(a). What is p(y(m))?\nAnswer: 280*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 + 69980?\nAnswer: 70023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70\/711 + 1\/79. Let m(v) be the second derivative of 0*v**5 + 2*v + 2\/45*v**6 + 0*v**3 - t*v**7 + 0 + 0*v**2 + 0*v**4. Suppose m(a) = 0. Calculate a.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13. Suppose -5*q + 7 = -18. Solve -q*m - o - 7 = 0, -3*o = u*m - 1 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + 6.8. Let h = -6.7 + 1.7. Which is the second biggest value? (a) h (b) x (c) -2 (d) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3565? (a) -5 (b) -2\/13 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (12\/2)\/(-1). Suppose 12 = 3*i - f*i. Let l(g) = -3*g. Let p(q) = -q**2 - 15*q - 3. Let d(k) = -5*l(k) + p(k). Calculate d(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2456*w - 823*w - 124108 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 377119481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 892910020 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12735457, 25470911, 38206365?\n\"Answer: 12735454*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28077256007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 3 - 3 + (-z + z - 3*z)*(z**3 - z**3 + z**3))*(3 - 3 + 2*z + (2*z + z - 4*z)*(0 + 3 - 5)).\nAnswer: -20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*w + 1 + w + 3*w - 2*w + (-3 - 2 + 6)*(2 - 2 - w) + 2*w - w + 4*w in the form o + a*w and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7)*(1 + 0). Let m = 8209\/9 - 912. Which is the closest to -1? (a) m (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**4*o**3 - b**4 - 50*b*o**3 + 56*o**3 wrt b.\nAnswer: 4*b**3*o**3 - 4*b**3 - 50*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a**4 + 6*a**3*u + 119*a*u**2 + 18*u**2 + 6661 wrt a?\nAnswer: 60*a**3 + 18*a**2*u + 119*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858610 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104926602 and 4407?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344.45 - 396.403. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1167113000 to the nearest one million.\nAnswer: 1167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 151882.5 millilitres?\nAnswer: 151.8825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2801b + -34?\nAnswer: 27ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by (-7)\/252*-188 + (-20)\/90.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/21 - -3) + -3. Let f = 58 + -54. Which is the closest to 2\/3? (a) 0.2 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001071 rounded to 7 dps?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018766 is divided by 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 56 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/349?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*k + 101*k + 258*k - 143*k.\nAnswer: 471*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/2 - 7*d. Let t(g) = 13 - g**2 - 13. What is o(t(p))?\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5 + 1176*m**4 - 112860*m**3 - 470448*m**2.\nAnswer: -3*m**2*(m - 198)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6320 and 871370.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (-9 - -53) - (1 + (121 - 4))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1001*n**2 - 23*n**2 + 2 - n + 2474*n**2 + 20*n**2 as p + u*n**2 + h*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*m + 4226, 4*u - 9718 - 802 = -5*m. What is the lowest common multiple of 204 and m?\nAnswer: 6324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/12)\/(((-100)\/450)\/((-4)\/(-6))). Sort p, -4, -17 in ascending order.\nAnswer: -17, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**9\/168 - p**5\/20 - p**2\/2 + 3*p. Let f(k) be the first derivative of q(k). Find the third derivative of f(y) wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1392, -1836, -2352, -2934, -3576?\nAnswer: -4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -168824?\nAnswer: 7\/168824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let p(h) = h**2 - 3*h - 5. Let f be p(5). Let z(i) = 9*i**2 - 14 - f + 19. What is r(z(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -436*z - 1694. Determine v(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from cjjljbbbjul?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*c - 155, -3*w + 2*c = -w - 46. Let x(k) = 9*k + 237. Is x(w) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (16972 + 117*k - 16972)*(4*k**2 + 2*k**3 - 4*k**2) + k**2 - k**2 + k**4 in the form m + s*k**2 + u*k**3 + d*k + c*k**4 and give c.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:56 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/150 and 37\/11961.\nAnswer: 598050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1423a9 - 2c7?\nAnswer: 1420b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**3 + 39*v**2 + 95*v + 234. What is the thousands digit of f(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3942\/(-462) + 9 - 2\/11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, o: 2, j: 9}. What is prob of picking 1 d and 1 o?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 3, 2\/19?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73523086 by 167.\nAnswer: 440258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 204, 223?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395819 + 396007.099. Let x = 188 - f. What is x rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.5 and -7633.580635256.\nAnswer: -7638.080635256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 6*k + 16. Let m be g(-8). Let t(b) = 2*b + 631. Is t(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let n(r) = 7*r + 4. Let k(b) = -n(b) + 2*t(b). Let w be k(-6). What is the highest common factor of 96 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 + -305. Let y be 9\/2*(6 - m\/(-9)). Solve 3*c + 8 = -y*k - k, 28 = 2*c - 4*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -323, -589, -721, -653, -319, 347, 1411, 2939?\n\"Answer: 11*p**3 + p**2 - 346*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*c + 20, -4*c + 72 = -4*n - 28. Let a = 40 - 26. Calculate the least common multiple of c and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m)**(-3\/49)\/(m*m**(-10)*m*m**(4\/13)) assuming m is positive.\nAnswer: m**(24188\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + 102. Let c = -135 + f. Which is smaller: c or -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 36 + 19. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 9*j**2 - 11*j - 13. Let i = 28 + -37. What are the prime factors of h(i)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*d**3*t**3 + 1370*d**3*t + 7805*d**2*t**3 + 11*d*t - 3*d - 18*t wrt t?\nAnswer: -2310*d**3*t + 46830*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdffddfffw. What is prob of picking 4 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-768)\/720*(-15)\/6.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(12\/(-36)) - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19631 and 1072.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 <= 14945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - r**3 + 0*r**3 + (1 + 5 - 2)*(3*r**3 + 0*r**3 - r**3) - r**2 + r**3 + r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3908664879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1903*k - 1 + 11440*k + 168*k + 1 to the form g*k + d and give g.\nAnswer: 9705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 41. Let c(i) be the first derivative of -i**4\/4 + i**3\/3 - i + 7. Let b be c(v). Does -1 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 12\/(-2)*1. Let v(i) = -8*i. Let d(r) = -4*r + 80. What is the lowest common multiple of v(s) and d(16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*p + 90*p - 42*p)*(1 + 1 - 3).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -2209*y + 2196*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10136 - -3?\nAnswer: 10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbndnnb. What is prob of picking 1 d and 2 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1 - 8*h - 2*h + 4*h + 5*h. Let l(x) = -4*x. Let r(v) = 6*c(v) - 2*l(v). Calculate r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191611838?\nAnswer: 2, 11, 89, 97861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/3)*(u\/u**(-3\/8))\/u assuming u is positive.\nAnswer: u**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 9. Let p = -1 - -1. Suppose 5*j = d - 2, -4*j = -p*d - 4*d + 8. Let n(f) = f**2 - 1 - d - 3 + 4. Determine -9*n(h) + 2*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -659*g**3*o + 9*g**3 - 179*g**2*o + 417*g*o wrt g?\nAnswer: -3954*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -240*p - 923 - 2692 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j - 1. Let i(z) = z + 1. Let a be i(-3). What is v(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - 1*(-2)\/(-2). Let x(d) = d**2 - 23*d - 8. Let q be x(19). Is 21 a factor of (3\/f)\/((-1)\/q + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*a + 1326, -4*m = -5*m - a - 444. Let p = -442 - m. Solve c + c = -p*t - 11, 0 = c - 2*t + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2636 (base 10) to base 13.\nAnswer: 127a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -115 (b) 3 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Suppose z = -i*z. Suppose -f + 8*d - 4*d = -269, -4*f - 4*d + 1016 = z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -773, -6059, -20397, -48311, -94325, -162963, -258749, -386207?\n\"Answer: -754*b**3 - 2*b**2 - 2*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 6. What is the tens digit of h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/835 - -843\/3340. What is the nearest to -0.2 in 0.01, b, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/2182435?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:15 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.18. What is the nearest to -0.1 in 3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + p - 7. Let h(u) = u**2 - 2. Suppose -38*n = -39*n + 4. Let k(b) = n*h(b) - m(b). Determine k(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1005936)\/(-77520) - (-4)\/170?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/137 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31846?\nAnswer: 2, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -131420?\nAnswer: -13142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -401, -869, -1351, -1853, -2381?\n\"Answer: -o**3 - o**2 - 458*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 19}. Give prob of picking 4 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18733)\/(-481) - (-50)\/925?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -547102 greater than -546227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - 0.84233?\nAnswer: -2.14233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 1. Suppose -m + 21 = -3. Let x be ((-1)\/2)\/(6\/m). Let u(o) = -o**2 + 2. Determine x*d(f) - u(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 2, y: 1, p: 2, u: 6}. What is prob of sequence ss?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3, 0 = -2*u - 2*v + 10. Put u, 6, 3, -9 in decreasing order.\nAnswer: 6, 3, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679018.\nAnswer: 2, 11, 167, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -66598?\nAnswer: 66593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495, -8, 2 in descending order.\nAnswer: 495, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1698 + 7122 = 980*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, r: 3, z: 4}. What is prob of sequence ggzz?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346.9264 millilitres to litres.\nAnswer: 0.3469264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) -6\/7 (d) 86 (e) 58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h**(-2\/3)*(((h*(h*(h*h\/(h*h\/(h**0\/h)))\/h)\/h)\/h*h)\/h*h)**(-2\/19))\/((h*h**(-1\/7)\/h)\/((h*h**0)\/h)*(h**(-2)*h)\/h**(1\/3)) assuming h is positive.\nAnswer: h**(2360\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12034 <= 12035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzlz when four letters picked without replacement from lllzzzlzzlzzzlzzm.\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114878 is divided by 999?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 5*k + 5*k - 2 - 3*k. Give f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*t + 20, -12 = -z + 5*z - 3*t. Is z smaller than 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2410)\/(-45) - (-4 + 803\/198)) + (-27)\/6.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 506 + -677.5. Let w = 172 + p. What is the second biggest value in w, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 9286 - 9274 = -w, -4*r + 8 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 5*h = -6*x - 30, -11*x + 399 - 17 = 3*h for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 12*r**2 + 21*r**2 - 2*r**2 - 6*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 18 - 52 + 100*q**4 + (5 - 5 + 7*q)*(-2*q**3 + 0*q**3 + q**3).\nAnswer: 93*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {o: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcpcpccpp. Give prob of sequence pp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8318 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.297 (c) -0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:52 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 5*o**2 + 7*o + 8. Let u be t(-6). Solve 2*x + 2 + u = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2025)\/21 - (260\/14 + 42\/504*-228)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4 + 39. Let i(n) = -n**3 + 7*n**2 + 14. Let c be i(h). Let z be (-3)\/(2\/(0 - 2)). Solve -d - 4*v + 19 = 0, -v + z*v = -2*d + c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5652 is divided by 1514?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjqqjq. Give prob of sequence qjqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8598\/8)\/(1*48\/128).\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-16)\/(-12). Let x be (15\/6)\/(1\/2). Suppose -3*m - 20 + 5 = -5*g, -3*g + 9 = m. Put m, q, x in increasing order.\nAnswer: q, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.022.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f**8*f*f*f)\/f)\/f))\/f)\/(f**(-2\/21)\/f)*f**(-6)*(f\/f**7*f)\/f assuming f is positive.\nAnswer: f**(-418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-26))\/((-3624)\/1209 + 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4841568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 78530288 to the power of 1\/2, to the nearest integer?\nAnswer: 8862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10094498.\nAnswer: 2, 17, 337, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1194.4176 and 25.\nAnswer: -1169.4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/28*-226 - (-81 - -73).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 9*u**2 - 3*u - 11. Let p be d(-9). Suppose 0 = p*h - 7*h - 315. Suppose -10*f + h = -35. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**3 + 59265195*q - 354139526?\nAnswer: 9*q**2 + 59265195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 12 = 10*x. Suppose 0 = -5*z - 2*t + x, -z + 5*t = 2*z - 1. Solve -z*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23567936 + 565381013\/24. Let y = 10398 + n. What is the common denominator of y and 79\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252435*k + 252438*k = -2*n + 7, 6*k - 5*n - 50 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*n - 95*n + 28. Is (-22677)\/n - (-8)\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1, -19 in descending order.\nAnswer: 5, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3\/2*x**4 + 0*x**2 + 0*x - 2\/3*x**3 - 1\/3*x**6 + 3 - 6\/5*x**5. Determine v so that g(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16\/9)\/w**(1\/29) assuming w is positive.\nAnswer: w**(-473\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 8*v + 4 - v. Suppose -3 = 2*i - 17. Does 24 divide b(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*w + 8 = 36, -g = -5*w + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54399*d**3 - 8*d**2 + 8*d**2.\nAnswer: 54399*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s - 4 - 1 + 2 - 3*s. Let v = 3 - 5. Let q be w(v). Solve c = q*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 9 = -2*t. Sort t, 0.02, 4.\nAnswer: t, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -192*m + 3040. Is 8 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/j**(3\/17)*j)))\/j**(2\/43))**24)**(-24) assuming j is positive.\nAnswer: j**(-748224\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-350))\/((-2)\/10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29182 is divided by 204.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 15*k**4\/8 - 26*k**2 + k. Let t(b) = 3*b. Determine t(h(a)).\nAnswer: 135*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -316584 + 18010*c**3 - c + 6921*c**3 + 316584 + (-3*c**2 - c**2 + 3*c**2)*(2*c - 2*c - 2*c).\nAnswer: 24933*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 721*j*t - 4*j - 4340*t - 8 wrt j.\nAnswer: 721*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 3*r + r)*(9763 - 4874 - 4826) + 7*r - 2*r - 3*r in the form m*r + p and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 99. Calculate the remainder when 36 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -54, -5, -344.284?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*q - 15*q + 30*q)*(6*q - 4*q + 0*q) + (4*q - 2*q - 3*q)*(-4*q + 6*q + 0*q).\nAnswer: 74*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 0*f - f + 2*f**2 - f.\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 16. Solve i = p - 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 34, 9, -36, -107, -210?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 + 4*t**2 - 7*t - 4. Let x(r) = 4*r**3 + 2*r**2 - 3*r - 2. Suppose -56*c + 133 = -35. Calculate c*u(v) - 7*x(v).\nAnswer: -v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*o - 66, 4*o = 5*v - 0 - 103. Suppose -2*k - v = -5*z, 2*z - k - 5 = 3. Solve 2*f + 1 = 5*q, -z*q - f - 4*f = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 2*u**2 - 7*u - 8. What is the lowest common multiple of m(-2) and 23?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 24*y - 169 = -49, -5*y - 26 = i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**3 + 33*s**2 - 58*s + 4. What is a(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11001011100 (base 2) to base 7\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235847.\nAnswer: 19, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*n**3 + 107*n**3 + 11*n**4 + 4*n**4 + (6*n + 0*n - n)*(-7*n**3 + 2*n**3 + 4*n**3).\nAnswer: 10*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 7*u**3\/6 + 67*u**2\/2 - 60*u - 35. Let l(m) be the first derivative of w(m). What is the first derivative of l(k) wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 155 + l**3 + l**4 - 155 + (-4 - 2 + 3)*(2*l**3 - 2*l**3 - 3*l**4).\nAnswer: 10*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60439 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 24*c**2 + 3*c - 59. Calculate z(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = j, 2*j = 4*d - 4. Let i(r) = -r**2 - d*r**2 + 4*r**2 - 9*r**2. Let l(q) = 6*q**2. Calculate i(l(z)).\nAnswer: -324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*n = -21, 4*s + n - 9 = -17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2704834 or 2704833?\nAnswer: 2704833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, 5, -11, 948 in increasing order.\nAnswer: -11, -2\/5, 2, 5, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*o + 4*o + 1283, a = 2*o + 261. Suppose 4*x - 3*q = a, 5*q - 9*q = -x + 61. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + -2 + (-9 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 4, 164, -5, -4, 116 in increasing order.\nAnswer: -5, -4, 4, 48, 116, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 5*j - 4. Let o be u(5). Let y be (0 - 1)\/(1\/9). Let n = o - y. Solve -1 = -5*f - 4*i - 2, -3*f = -n*i - 29 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279\/9 + 3 + -3 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 36. Is g\/64*(-1227 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/4, -1\/110, -2\/3, -1, 0.5?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226317388?\nAnswer: 2, 337, 909731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 6}. Give prob of sequence lwl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11232, -22467, -33694, -44913?\n\"Answer: 4*p**2 - 11247*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujnj when four letters picked without replacement from {j: 2, q: 1, n: 2, u: 1, h: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 0.3. Let d = -0.17 + 0.4. Let w = 5.23 - d. Which is the nearest to j? (a) w (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.42 + -0.4199985. Round z to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*2 + 0 + sqrt(18)\/sqrt(6))**2 + 3.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*b + 74*b - 5*b**2 + 0*b**2 in the form f*b**2 + z*b + n and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848793, 1697525, 2546253, 3394977?\nAnswer: 4243697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2432 = -72*h + 2072 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 367 - -2?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -224 + 3652?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7085, -28388, -63893, -113600, -177509, -255620?\n\"Answer: -7101*s**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c - p, -p - 5 = -c + 3. Let b be -3*(-4)\/6*1. What is the highest common factor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2753209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272421847?\nAnswer: 109, 157, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q = -43*q + 48. Let d = 63 - 63.4. What is the nearest to -2 in q, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 146, 307, 468?\n\"Answer: 161*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -26, -57, -122, -233, -402?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from bcdeccbqwdd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97869219*p**4 + 58956070 wrt p?\nAnswer: -391476876*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*64.1.\nAnswer: 320.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183178424 by 405262.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-44))\/(21\/28*(-4)\/6)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60789 divided by -4.\nAnswer: -60789\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 2. Let h be ((-7)\/42)\/(38\/(-342)). What is the closest to -1 in 2, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 71*t + 643. What is p(8)?\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 1. Let z = 64 + -19. Suppose -3*r + z = 18. Let k be (3\/r)\/((-3)\/(-9)). Calculate l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2038, -4086, -6136, -8188, -10242, -12298, -14356?\n\"Answer: -f**2 - 2045*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2290626*k**2 - 22*k - 72. Let z be i(-4). Round z to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/3 + 674*c**4\/3 + 57764*c**3\/3 + 161332*c**2\/3 - 498662*c\/3 + 278890\/3 = 0. Calculate c.\nAnswer: -167, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 24\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 279a (base 15) to base 5\nAnswer: 232340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12549513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:34 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7566 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 60. Give t(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 5*v - f - 557, v - 101 = 2*f. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 771*y + 1562 - 1562 to r + z*y and give z.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q + 114. Let i be m(13). Let j = 994 - 810. What is the highest common factor of j and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 2, -58, -11, 1.\nAnswer: -58, -52, -11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 951 + -466. Let w be 1\/(4 - u\/120). Let r = -17 - w. Solve -r + 1 = 2*h + y, 8 = -2*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68679 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbj when three letters picked without replacement from uxumbxjbmmmxjjuu?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 4 + 148 = -26*h. What is the nearest to -2 in h, -18, -12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2. Let n(x) = 2*x + 10154. Determine b(n(g)).\nAnswer: 16*g**2 + 162464*g + 412414864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**2 - 68*p**2 + 11*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1 - (3 + 0 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7673*q**2 - 30*q - 112. Is s(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-eight ninths of a week?\nAnswer: 76160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -111 + 114. Does 5 divide (-48 - (-1 + 4 + -6))*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 524882531273065 and -2.\nAnswer: 524882531273063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1012, -4045, -9108, -16207, -25348?\n\"Answer: -r**3 - 1009*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/2 (c) -2\/173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0 - 2\/15*n**5 + 204*n**2 - 1\/8*n**4 - 1\/3*n**3 - 1\/120*n**6 + 0*n. What is s(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3 - 7*u + 37*u**2 - 36*u**2 + 4. Let h be r(6). What is the highest common divisor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 38. What is the least common multiple of (-42)\/(-15)*(-40)\/12*(-828)\/483 and r?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1561689 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.62818l?\nAnswer: 6628.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let o(g) = 5 + 18*g**2 + 14*g**2 - 18 + 2 + 10. Calculate o(r(s)).\nAnswer: 128*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 1166742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 + -188. Let p(o) = o**2 + o + 25. Calculate p(b).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = -2*b. Suppose 2*g - 3 = -3*s, 0 = -2*s + b*g - 2*g + 15. Suppose -118 = -s*h + h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3898817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/114, 2, 2\/3, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, 1\/114, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27205920 divided by -43184\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4362943.76 + 10618.76. Let z = f - -4352327.999979. Let v = z + -3. Round v to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 212 - 1134. Let w = 67624 - 67617. What is the lowest common multiple of q and w?\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-26) - 122\/793.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.092 + 0.092. Let y = k + 43.144. Round y to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3 - ((-12)\/3 - -1). Suppose 315 = -x*h + 7*h. Suppose -h = -d + 89. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 26*n + 51. Let d be u(24). Solve b = -4*o - b - 14, -2*o + d*b - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 5. Let s be g(4). Suppose s*l - 4*l = -20. Let r(v) = v**3 + 6*v**2 + 3*v + 3. Let b be r(l). Solve 5*p = -4*u - b, -4 = -0*u + 2*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 11*g**6\/120 - 35*g**4\/24 + 37*g**2. What is the second derivative of u(a) wrt a?\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 382 = -2*j - 2*j, 3*m + 6 = 0. What is the common denominator of 3\/(-4) - (-2249)\/(-468) and j\/18 + 4\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*j**5 - 13*j**2 + 1.\nAnswer: 2160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/2 + 13\/6. Let m = 2 + i. Which is the biggest value? (a) 1 (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.219 + 11.319. Let f = 11 - l. Which is the third biggest value? (a) f (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 2, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 231, 150, 35, -126, -345?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -28*t - 22. Let d(i) = -60*i - 57. What is -2*d(z) + 5*x(z)?\nAnswer: -20*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -2*m - 3*u, -3*m - u + 5*u = -271. Let n = -25 + m. Calculate the greatest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 47*g - 97. What are the prime factors of r(-23)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 + -4. Let x be 92\/66 + 36\/(-27). Let w = x + -37\/66. Which is the nearest to w? (a) p (b) 3\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/27 - (-9 - -11). Suppose -s*n**3 + 0*n + 0 + 0*n**2 - 2\/9*n**4 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5095*t + 453488. What is u(89)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*y + 830. Let z = y + -263. Calculate the smallest common multiple of 32 and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -6\/49 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 + 2*z - 3. Let a be o(-3). Suppose 0 = -a*l + 5*l + 3*d - 73, -l = -3*d - 11. What is the lowest common multiple of l and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51753 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.433588ug in nanograms?\nAnswer: 4433.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 43*s**3 - 1. Let l be 2 - (13 + 0 + 1). Let f be 1*-1 + (l - -14). Calculate the remainder when b(f) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-5)*2\/3. Suppose p*h - 3*k - 774 = 5*h, -5*h + 1291 = -4*k. What is the highest common factor of 37 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-8)\/3)*63\/(-21). What is the fourth biggest value in f, 0.08, -3\/2, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2\/7 (c) -1\/177 (d) -5 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -37 - -44) + (-1 - (1 + -11)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8382, 16777, 25208, 33693, 42250, 50897, 59652, 68533?\n\"Answer: 3*c**3 + 8374*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71980 and 120780.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6) - -1 - 535335\/(-3609). Solve -4 = 2*t - 4*s, -150*s = 5*t - n*s - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (88\/(-132))\/((-1)\/1062)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(405)*1 + sqrt(45))\/sqrt(9) - ((-5*sqrt(25)\/sqrt(5))**2 + -4 + -5).\nAnswer: -116 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (4 - (-3 - -12) - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from celellcholhfecchf?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431200 + 3?\nAnswer: -431142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4) + (-48 - -55).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqwccxh. What is prob of picking 1 h, 1 n, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(9\/8)\/y)\/y*y**(-4) assuming y is positive.\nAnswer: y**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -2*s. Suppose 3*x + 5 = 3*d - s, -d = -2*x - 2. Suppose -38 = -2*g + z, 3*g - d*z - 67 = -0*z. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-40)*(-184)\/230)\/(2\/(8*16)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -383 - 139f1?\nAnswer: -13d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69894353\/404 - -173006. What is the common denominator of b and -53\/7?\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25449632 - 11\nAnswer: -25449643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 13629133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 1788068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = m - 473, s - m - 3*m = -107. Let a = -59 - s. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:52 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3783 and 9452?\nAnswer: 5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -6, 1, 4, 0.5, 4\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 103*y - 1314. Determine g(-116).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2569, 10258, 23071, 41008, 64069, 92254, 125563?\nAnswer: 163996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8330*s + 7619. Determine j(0).\nAnswer: 7619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + (-78)\/(-54) + -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146247075 and 1125.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.083 in -398, 4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*2)\/(sqrt(80)\/(sqrt(24)\/sqrt(3))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/18)\/((-1)\/(-9)). Let t(f) = f**2 - 16*f - 10. Calculate the least common multiple of t(b) and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1317, -1279, -1157, -951, -661, -287?\n\"Answer: 42*y**2 - 88*y - 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6428)\/20 + (-4)\/(-10). Suppose -2*p - 1722 = -5*p. Let z = d + p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n + n + (317 - 377 + 260)*(2*n - 3*n + 4*n).\nAnswer: 597*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 9 = 3*g, -4*g - 15 = 3*f + g. Suppose f = 5*j - 4*j - 45. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 19 = 3*y - 5*q, -5*q = 25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 1428908.\nAnswer: 15717988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((192\/12 - 13) + -4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -62. Let w = -5 - -4.89. Let j = w + 5.11. Which is the nearest to -0.1? (a) f (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 20. Let t(n) = n**2 + 7*n + 2. Let v be t(q). Suppose -2 = -2*w - c, w + v*c + 8 - 3 = 0. Solve s = -w*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 13*y**4 - 9 - 80 - 3*y**4 + 80 + (0*y + y - 2*y)*(-y**3 - y**3 + y**3) to n + j*y + g*y**4 + i*y**2 + o*y**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106.3 + -111. Let j = h - -4.74. Let n = -144 + 142. Which is the smallest value? (a) n (b) 2\/5 (c) j (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let c = -11\/27 - 7\/27. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*g**3 + 0*g**3 + 19*g**3)*(g - 5*g + 2*g)*(-6 + 0 - 19).\nAnswer: 2150*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5544 divided by -792.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544737*c**3 + 396277*c**2 wrt c.\nAnswer: 3268422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (550 - 550 + 436*p**2)*(2*p**3 + 3*p**3 - 2*p**3).\nAnswer: 1308*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6012 = 128*s + 2691 - 2055 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131903*f**4 + f**2 + 3101398 wrt f.\nAnswer: -527612*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12446 + 3345. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -17*y + 13*y - 52, -6*d + 10*y + 148 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35398792*n - 105 - 2*n**3 + 35398792*n + 2*n**2 in the form f*n + k + y*n**2 + r*n**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 7*d + 2. Let r be c(6). Let w = r + -3. Find the third derivative of -2 + 0*u**2 - 2*u**w + 3*u**2 + 2 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/120 + 3*u**5\/20 - u**4\/2 - 7*u**3\/3 + 4*u**2. What is the units digit of a(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 66. Let x = -58.3 + t. Put x, -7, 2 in ascending order.\nAnswer: -7, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*m + 32, 8*v - 4*m + 16 = 12*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i*j*y*z - 2*i*y**3*z + 18*i*z - 2*j*y**3*z - 2*j*y*z - z with respect to j.\nAnswer: 7*i*y*z - 2*y**3*z - 2*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0 + 8 - u**2 + 0*u**2 + 3*u - 9*u. Let o be c(7). Let v = -48 - o. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001031220 (base 4) in base 12?\nAnswer: -321ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/26127 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 167?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 13 + 2 + -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from rrrprxrrjxjrrxxjpxrp?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 532988, 533805, 534622, 535439?\n\"Answer: 817*m + 532171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 5, x: 3, z: 2}. Give prob of picking 1 x and 2 o.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14452202*b*q**2 - 755*b + 453*q wrt q?\nAnswer: 28904404*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 0*z**3 - 1631 + 1634 - z**4 + z to the form b*z**4 + f*z + y*z**2 + l + u*z**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2771675 seconds?\nAnswer: 277167500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let q(o) = -6*o + 18. Let t(i) = -3*m(i) - q(i). Let n be t(6). Solve w + w = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.174277 centuries to decades.\nAnswer: 21.74277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/3)\/(3\/27). Let v = -3\/803 + -24875\/4818. Find the common denominator of 31\/o - (2 - 3) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24546919, -24546915, -24546909, -24546901, -24546891?\n\"Answer: f**2 + f - 24546921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -108\/3580261?\nAnswer: -108\/3580261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203 - 101 - 99 + 14*u**3 to the form w + p*u**2 + r*u**3 + b*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111111111110011011 (base 2) in base 9?\nAnswer: 8781487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*n - 2 + 193*n**5 - 4 + 14*n + 19*n wrt n?\nAnswer: 3860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 12 = 16*n. Put -20, 5, n in decreasing order.\nAnswer: 5, n, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 244 - -56?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.1918 litres?\nAnswer: 3191.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -3 + (4 - 1). Suppose -a + 35 + 3 = 4*j, g*a - 159 = -3*j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16939621889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, 360, 0.3, 1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.19 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 69 + (-22 - -25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.44 + -1.31. Let h = -3 + x. Which is the second biggest value? (a) h (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11384 by -2.\nAnswer: -5692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(612) + -1 + -4 - (4 + (sqrt(612) - (sqrt(612) + sqrt(612) + -1))))*4 + (sqrt(612) + -5 + -3 + sqrt(612) - (1 + sqrt(612))*-2))**2.\nAnswer: -180488 + 13248*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6486102 - 2080*p + 6486102 to the form s*p + q and give s.\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402414 by -1.\nAnswer: 402414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3540, -3554, -3568?\nAnswer: -3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*30\/(-80))\/((-81)\/(-252))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/60 - 5*b**4\/24 - 17*b**2. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-2*(sqrt(3) - (sqrt(3) + (sqrt(3) - sqrt(27))))) - ((-1*1*sqrt(44))**2 + 5).\nAnswer: -49 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 470*q = 472*q - 7, -2*q + 16 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-29*(-17)\/7888).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7 - (2 + 0) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3958*s + 34507 = -821*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**2 - 3*t - 5. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*b - 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26262.\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3621692 divided by 13\nAnswer: -3621692\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -400\/17 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 164038179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 6. Suppose -3*k - 2652012 = 4*g, -4*g - 15*k + c*k - 2652016 = 0. Round g to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*v - 7, 5*f + 29 = -2*v - 1. Let u(d) = -2*d**2 - 14*d + 12. Let m be u(f). Is m smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g - 50*g + 85*g - 9*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66091 - 22031 - 22027 - 259*z**2 - 22033.\nAnswer: -259*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/g)\/g**(-15)*(g\/(g\/g**(-11)))\/(g\/(g*g\/(g**(-2\/11)*g*g*g*g))) assuming g is positive.\nAnswer: g**(4\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 12*l + 3. Let f be u(12). Solve 0 = -f*w - 4*a + 1 - 0, 4 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + 2 - 4*g - 5 + 5*g. Let n(h) = -5*h**2 - h + 4. Let k(y) = 2*n(y) + 3*z(y). What is k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 7*l. What is the third derivative of 2 + l*m**6 - 2*m**6 + 2*m**2 - 2 wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120325?\nAnswer: 5, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60542*l - 145476*l + 84934*l - 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/4360 and 67\/145285?\nAnswer: 126688520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ste when three letters picked without replacement from {e: 4, s: 3, t: 11}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = -28*f + 267119. List the prime factors of f.\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - 2*x**5 + 4*x**5 + (0*x + 0*x + 2*x**2)*(3*x**3 + 3*x**3 - 4*x**3) - 2321*x**5 - 171*x**5 - 1556*x**5.\nAnswer: -4042*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**7\/840 - l**4\/4 - 6*l**2. Let k(q) be the second derivative of x(q). Let b(s) = 2*s. Give k(b(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 4) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0659 - 0.3659. Put 508, -3\/8, z in descending order.\nAnswer: 508, z, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*r**2 + 12738*d**3*r - 2017*d**2*r**2 - 2*d*r**2 + d wrt d?\nAnswer: -12*r**2 + 76428*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102699*h + 3080 = 102776*h for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 27.01. Let n = 26 - 26.2. Which is the fourth smallest value? (a) n (b) p (c) 0.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 7388356*p**3 - 13646958484038*p**2 + 27293894803012*p - 13646943707329.\nAnswer: -(p - 3694177)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/210 + 43*j**4\/21 + 169*j**3\/7 + 3829*j**2. Suppose w(u) = 0. Calculate u.\nAnswer: -169, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13960 * -2.3716.\nAnswer: -33107.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463 + -463. Suppose -73*a + 60*a + 156 = j. What is the smallest common multiple of 1286 and a?\nAnswer: 7716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.8. Suppose -11*u = 79 - 981. Let h = u + -81. What is the nearest to -2 in h, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(10) + sqrt(90)))\/(-2*sqrt(150)) + 0)**2.\nAnswer: 7\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -1 - 3 - 0. Let h(f) be the third derivative of 1\/108*f**b + 0 + 1\/945*f**7 - 1\/90*f**5 - 1\/540*f**6 - 3*f**2 + 0*f + 2\/27*f**3. Factor h(c).\nAnswer: 2*(c - 2)*(c - 1)*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*t + 132*t - 82*t**2 - 66*t**2 - 78*t + t**2 - 1 + 1 + (0 + 0 + 2*t)*(-2 + 2 + 2*t) - 2*t**2 + 3*t - 3*t + 2*t**2 - 3*t**2 + 3*t**2.\nAnswer: -143*t**2 - 27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/18*z**3 + 0*z + 0*z**4 + 1\/30*z**5 - 7 + 0*z**2. Determine h so that r(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.77 + -2.69. Let t = k + 163.92. Let z = 161.9927 - t. What is z rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*c + 3. Let b(n) = n + 2*n + c*n - 5*n. Let u(v) = v**2 + 0 + 0. Calculate u(b(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/21 - 401*d**5\/20 - 979*d**3\/6 - d**2 - 1488*d + 3. What is the second derivative of b(u) wrt u?\nAnswer: -40*u**3 - 2406*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-740)\/170*(47 - 30).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o + 4. Let r be k(-7). Suppose -64 = -3*q + r. Let w = q - -103. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*d + 26, -d - 4*d + 4*b - 60 = 0. Let a be (-1 - d) + 5\/(-5). Suppose a*z = z + 545. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5364)\/(-2384)*22\/495*125\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31508 is divided by 272.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/48 and -21\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/6 + 10*z**3\/9 + 8*z**2\/3 + 8*z\/3 - 5. Factor i(j).\nAnswer: 2*(j + 1)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**3\/5 + 529521*z**2\/5 - 26476*z = 0.\nAnswer: 0, 1\/4, 132380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/46985 and -15\/1710254.\nAnswer: 8551270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 254 - 125 + 377 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -86*h. Let w(z) = 40*z**2. What is w(i(o))?\nAnswer: 295840*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*h = -326*h + 59*h + 542 + 3198 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 200*a**2 + 215*a + 410.\nAnswer: -5*(a - 2)*(a + 1)*(a + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15061998379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.2. Let u = 0 - i. Let z = u - 0.9. Which is the second smallest value? (a) z (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 3, z: 1, b: 4, j: 2}. What is prob of sequence pzj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -217 and -26032734.\nAnswer: -26032951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 33 - 3. Suppose 6*r = q*r. Suppose r*x + 6*x - 12 = 0. Solve -5 = -x*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o + 1. Let y be a(-2). Is (-112)\/(-40)*(2 + y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 1. Let p be o(1). Suppose -184 + 760 = 24*z. Suppose 4*f - z = -p*f. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160 - (181 - 27)) + -1 + 20 + 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(637) + -1)) + 4*sqrt(208))**2 + 3 - (4 + (-2 + sqrt(1573) - -5*sqrt(13)*3))**2.\nAnswer: -7488 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 13*g - 7. Let d = 31657 + -31648. Give r(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from {w: 2, u: 1, o: 2, j: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 33*t**2 + 7*t + 5. Suppose 29 = -2*v + 83. Let h = -31 + v. Is z(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:57 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (52*(-5)\/(-1950))\/(8\/(-6))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwjtuwtquttwtjnwqqq. Give prob of sequence qjqj.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*b - 5*b + 3*b)*(-b - 24*b - 12*b)*(3 - 3 + 2*b).\nAnswer: -814*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p**2 - 7*p - 19. Let c be n(-7). Suppose -18*s + c - 94 = 0. What is the greatest common divisor of 12 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*f = -f - 10, -26367*s + 26370*s + 2*f = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -150 and 5932978.\nAnswer: 5932828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (98 - ((1 - (-5 - -19)) + -8 - -13))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:29 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12105809 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -97. Let t(a) = 2*a**2 - a - 2. Let q be t(2). Solve -5*p + 4 = -4*h, 2*h - p - u = q*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 0, -3*s + 19 = 5*o - 1. Suppose -s*k - 9 = -29. Let l be (-1)\/(-4) + (-54)\/(-8). Solve -k*j = 3 - l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -4, -0.3, 362 in ascending order.\nAnswer: -4, -0.3, -1\/6, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -343?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:54 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247233.\nAnswer: 3, 7, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-4 + sqrt(2)) + sqrt(2) - (4 + sqrt(2) + -4))**2 + ((sqrt(242) + -2)*3 - (sqrt(242)*3*2 - sqrt(242))))*2.\nAnswer: -60*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.2. Let p be ((-3)\/(-10))\/(264\/(-2640)). Which is the closest to p? (a) -5 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 2*c**2 - 4*c**2. Let i(v) be the second derivative of -v**4\/6 - 9*v. Calculate i(q(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 12. Let v be z(9). Suppose -4*i + 4 = 2*l, -2*l + 12 = -l - v*i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 6. Let m(k) = -1. Let r(n) = -n + 6. Let d(s) = 4*m(s) + r(s). Let a be d(2). Does 3 divide i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = 4*m - m, 15 = 2*m - 3*h. Let j = 29 - 24. Suppose -2*k - 9 = -j*k. Solve m = k*w - 4*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/4 - 7*n**2\/4 + 5*n\/2 + 4 = 0 for n.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdx when three letters picked without replacement from sxxxxdgxxgxxxd.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -41, -96, -173, -272, -393, -536?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - t + 34, 4*t + t = 2*q + 27. Put 3, 2, -5, q in descending order.\nAnswer: 3, 2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316813 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 76. Suppose -4*w - t - 2*t = -19, t + d = 5*w. Find the third derivative of l**4 - l**w + 2*l**4 - 2*l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113614 times 7.3\nAnswer: -829382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -34. Let u = 22 - 11. What is the second derivative of -4*z - u*z**r + 18*z**2 - 9*z + 17*z**2 wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -3, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*((-36)\/(-4) - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 14*v**2 - 2*v + 21. Let t be i(14). Let u(w) = -69*w - 4. Is u(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.018686 and 0.049?\nAnswer: 4.067686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12596)\/(-31490) - (-1 + (-33)\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kse when three letters picked without replacement from kkjjsjtsej?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4151 and 69034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/(n*n**3)*n\/(n**4\/n*n)*n*n*n**(1\/8)*(n**(-2\/11)\/n**(-3\/5))\/((n*n**(-2\/9)\/n)\/(n\/n**5*n)) assuming n is positive.\nAnswer: n**(-52409\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 8*c - 4. Suppose 0 = -0*q - 5*q + 40. Let i be 13 - (-2)\/(q\/(-12)). What is the tens digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c - 10, 4*c - 23 = -5*n. Let d(h) = 2*h + 6*h**3 + 5*h**3 - 2*h**n + 1. Let q = -2 + 1. Give d(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 2*r - 4. Let g be f(-3). Let p be 1\/(-3) - g\/3. Let i be 1\/(-1)*(-105 - 3)\/6. Calculate the greatest common divisor of i and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/2)))**(-31)\/((q**(1\/2)*q)\/q)**(-50))**(24\/13) assuming q is positive.\nAnswer: q**(972\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-260)\/6)\/(-5)*-3. Is (-212)\/h + (-16)\/104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21637.79901 - 21638. Round p to three dps.\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozojoz. Give prob of sequence oz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - (-1 + -1). Suppose -2*n - z + 8 = 0. Let v be (n\/6)\/(2\/24). Solve 3*d - 27 = 3*r, -r - 6 + 22 = v*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.06026 (b) -2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(153) - (sqrt(153) + sqrt(153) + (-2 + sqrt(153) - sqrt(153)) + sqrt(153)))**2 - sqrt(17))*2.\nAnswer: -250*sqrt(17) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1642 + 731. Let r = y - -910.99998995. What is r rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:33 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(65) + (sqrt(65) - (sqrt(65) - (-2*sqrt(65) + sqrt(65)))*-3) + sqrt(65) - sqrt(65)))\/(sqrt(25)\/((sqrt(5) + sqrt(20)\/sqrt(4))*5)).\nAnswer: 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*6\/27*6. Let d = -117 + 120. Sort d, h, 2, 0.\nAnswer: h, 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 6. Let o be a(-6). Let t = o - -12. Is 10 a factor of (t + -2 + -15)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 7*g**2 + (2*g - 2 + 2)*(-5*g + 3*g + 0*g) + (g + 8*g - 6*g)*(6*g - 2*g - 3*g) + (-3*g + 0*g + g)*(2 + 2*g - 2) as y*g + f + h*g**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let v = 1.2 + z. Let x = v + -0.175. What is x rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 2, o: 1}. Give prob of sequence ohbh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 24. Suppose r*u - 6 = 2*l - u, 0 = -5*l + u + 3. Solve -l = -2*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.6928 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 0.3. Let t = 2 + 7. What is the closest to -1 in i, t, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.9423 centuries?\nAnswer: 79.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/7 - 648*y**3\/7 + 69128*y**2\/7 - 2695680*y\/7 + 34611200\/7.\nAnswer: 2*(y - 130)**2*(y - 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m - 2. Suppose h + 2*h - 15 = 0, -2*n = -4*h - 68. Suppose 4*a - 8 = -n. What are the prime factors of o(a)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**2*t**4*v + 3*m**2*t**3 - 3*m**2*t**2 - 9*m*t**2 + 2*m*t*v + 11*t**3*v - 5*t**2 wrt t?\nAnswer: -216*m**2*t*v + 18*m**2 + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*12197.\nAnswer: -2439.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-18 - (-26 + 12 + 61))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*z - 141 = 1027 + 80. Factor -2\/9*u**4 + 2\/3*u**2 + 0 + 4\/9*u**z + 0*u.\nAnswer: -2*u**2*(u - 3)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15670383.9 rounded to the nearest ten thousand?\nAnswer: 15670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(-189) + (-8)\/36. Let d = 2\/7 + u. Which is the third biggest value? (a) d (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -791 + -8c4b?\nAnswer: -95dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(352)*6)\/(sqrt(4)\/(sqrt(4)\/sqrt(2))) - (-1 + sqrt(891) - (1*sqrt(77))\/sqrt(7))))**2.\nAnswer: 160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*t + 14 - 41, 3*t = -4*i - 3. What is the smallest common multiple of 4 and -4 - (4 - (t - -23))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 9:57 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1788.0591 + 1787. Let t = -0.82845 - j. Let o = t + -0.23. Round o to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 896 = -21*j. Suppose -4*q = 4*y - j, 0 = -5*y - 0*q + 2*q + 301. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1268, -1409, -1550, -1691?\n\"Answer: -141*w - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.154 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10313 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10988 and 4348.\nAnswer: 11943956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 33. What is the remainder when 19 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88182 and 13632?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = s + 26, -6 = -5*x - 3*s + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 58056855*v**2. Let o(w) = -w**2. Determine o(c(n)).\nAnswer: -3370598412491025*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/10 - 16\/(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v - 82*v + 31*v + 29*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 110450\/(-1625)) + -57.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. Suppose -4*l = -7*l + j. What is the third derivative of o**l - 2*o**5 + 6*o - 6*o wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.41751 nanograms to tonnes.\nAnswer: 0.00000000000006841751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*(-4)\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136162 is divided by 241.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 76*c**2 + 3*c - 8. Let d be (-2*4\/24)\/(1\/6). What is the tens digit of v(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 6.06. Put v, 12, -2\/15, -2 in decreasing order.\nAnswer: 12, v, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**2\/2 + 1. Let x(a) = a - 3. Let q be x(5). Let z(k) = -3 + 3 - 2*k**q. What is z(c(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*x = -747*x - 475 - 1523 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 540 - 541. Let g be (-59)\/(-4) + d\/(-4). Solve -2 = g*s - 62 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 101. Let m be 6 + 2 + -4 + b. Solve -5*l = -3*o + 22, -o + l = m - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 0 - (-2 - 25). Let w = -6421 + 6824. What is the highest common factor of f and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17982 and -979?\nAnswer: -17604378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -15) + 41 + -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -765\/31, 1 in decreasing order.\nAnswer: 6, 1, -765\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -742 - -712. What is the second biggest value in -0.3, n, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 2418*h - 17024 = 0. What is h?\nAnswer: -1216, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = 25. Let r be -4 + (292 - 19)\/(-21). Sort 1, r, -3, t in descending order.\nAnswer: 1, -3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/27 (b) 4\/5 (c) 0.4 (d) -3\/6332 (e) -5 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 14201.13 milliseconds?\nAnswer: 14201130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 60 = 4*f + 3*g, -4*f - 5*g = 177. Which is greater: f or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2 = 2*c - 4*g, 5*g = 2*c - 19. Calculate the common denominator of (13\/(1820\/7))\/(c\/234) and 5\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/33586632 and 67\/9668?\nAnswer: 33586632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123634 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -x + 641, 3*x - 983 = c + 905. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1)*(-1935832*d**5 + 1935816*d**5 - 62*d**3 - 68*d**3).\nAnswer: 64*d**5 + 520*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-7) - 4\/(-14). Let z(d) = -d**3 + 3*d**2 - d. Let a be (-18)\/(-8) + (-1)\/4. Let o be z(a). What is the greatest common divisor of o and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21899086 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 9:43 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131210221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Give t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2046 = -5*u - 4*q - 652, 2*u = 3*q + 553. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 368472\/119 - 21674\/7. What is the second biggest value in -3, 3, 0.56, x?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o. Suppose o = 2*t - 0*t - 6. Let m be (215\/(-129))\/(10\/(-12)). Solve t*l + 4*s - 8 = 0, -l - 2*s + 4 = m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -21*u**2\/2 + 73*u + 67. What is the first derivative of r(t) wrt t?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 78*f + 476. Let p be u(17). Solve -7*w - 25 = p for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115.7 + 116. Sort z, 3, -0.76.\nAnswer: -0.76, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 4*i + f - 0*f, 0 = -i - 3*f + 88. Suppose 0 = 3*n - 8*n - x + i, -n - 3*x = -31. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = -18*c + 36*c - i + 9, 12 = 2*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:31 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 3*u - 2. Let j be q(-2). Suppose 5*f - 4*g - 23 = j, 0 = 3*f - 0*f - g - 11. Is f at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10853*u**3 - 2*u**2 - 1637*u - 5. Let x(y) = -10852*y**3 + 2*y**2 + 1642*y + 6. Let j(d) = 6*a(d) + 5*x(d). Find the third derivative of j(q) wrt q.\nAnswer: 65148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6281, -6278, -6273, -6266?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Let s be (3\/(-9))\/((-5)\/20). Which is the third biggest value? (a) w (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.9. Let o = -0.5 + -6.5. Let s = o - -6.96. What is the smallest value in s, k, 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. Suppose -5*x + 142 = u, -5*u = h*x - 0*u - 66. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*y = -652, -468 = 2*f - 4*f + 5*y. Suppose 9*g - f = 5*g. What are the prime factors of (-2)\/7 + 408\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 2959934\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = a + 265, -6*a + 11*a - 127 = -2*i. Calculate the remainder when i is divided by 9\/(-1 - (-88)\/64).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**1))**12*(m*m**(2\/5))\/m**4*m*m**(-7)*m*m*m**(-4)*m*(m**(-1\/3)*m)**(-2\/11) assuming m is positive.\nAnswer: m**(376\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a - 6. Find the first derivative of 7*c - a*c - 3 - 4 + 0 wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2687, 2631, 2507, 2291, 1959, 1487?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5 = -5*n - 4*u, -4*u - 20 = 0. Suppose 4*k = 5*y - 64, 3*y - 32 = -n*k + 7*k. Suppose 0 = -4*d - 5*l + 85, -5*d = -3*d + 2*l - 40. Does y = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let p(h) = 13*h - 2. Determine -p(w) + 3*y(w).\nAnswer: -10*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3623 - 2959 - 11020*n**2 + 7256*n**2 - 4290 with respect to n.\nAnswer: -7528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201011 (base 3) in base 11?\nAnswer: -a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28502202, -28502200, -28502198, -28502196, -28502194, -28502192?\nAnswer: -28502190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.130231 - 87\nAnswer: -87.130231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -269706, -1077452, -2423694, -4308432, -6731666?\n\"Answer: -269248*s**2 - 2*s - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 651 or 4342?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 - 3550?\nAnswer: -4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, p: 5, h: 3, e: 2}. What is prob of picking 1 e, 1 p, and 1 h?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/7 + 2166*z**3\/7 + 345960*z**2\/7 + 14887072*z\/7 - 15235200\/7 = 0.\nAnswer: -900, -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -4, 0, 0.2, 2\/7, -25, -9 in increasing order.\nAnswer: -25, -9, -4, 0, 1\/9, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45\/2*29\/261\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787682644 to the power of 1\/2, to the nearest integer?\nAnswer: 28066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 39*f**3 - 174*f**2 - 352*f - 2. Determine n(-2).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 3*r - 33. Let f(i) = i**2 + 3*i + 32. Let k(m) = 3*f(m) + 2*o(m). Let n be k(7). Solve 2*y = -n*g + 6*g - 2, -g = -5*y + 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:46 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 2541.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1448 and 274396?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, 4, 15, -98, 79 in increasing order.\nAnswer: -98, 1, 4, 15, 24, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 20*i - 1. Let k be d(-3). Suppose 38*q = 52*q - 25*q - 682. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(325) + sqrt(325))**2 + sqrt(130)\/(-3*sqrt(10)) + sqrt(1872) + 1 + 5.\nAnswer: 35*sqrt(13)\/3 + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 4, v: 8}. What is prob of sequence scv?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -11493933.191523.\nAnswer: -11493935.191523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*d + 182*d - 22*d**3.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 22*c = 60. Let y = 22 + c. Suppose -y*b - q = -8, -4 = -q - q. Solve 5*x - 2 = -o + 15, -b*o - 13 = -x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13136899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**10*s))\/s)\/(s*s**(1\/9))*(s*s\/s**(-1\/5)*s)**(2\/37) assuming s is positive.\nAnswer: s**(-19877\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13377 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10361197.\nAnswer: 7, 11, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*q + 219*q - 2 = 0. Which is greater: -37 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 + 41*t + 909. Calculate j(-17).\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -6*l + 78. Let w = -66 + l. Is 6\/(6\/w)*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4 (b) -1\/55 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 60926*s\/3 + 60928\/3.\nAnswer: -2*(s - 1)*(s + 30464)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/(-105) - 4\/(-14). Let g = -4.23 - -4.2. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 1 + 348\/3. Let r be (-2)\/11 - (o\/(-77))\/8. Solve r = 3*z, 0*u - 5*z + 6 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 272.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) 1\/7 (c) 6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4000 = -4*z, 0*m - 5*m = 0. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345596 is divided by 672425?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 154, 153, 152, 151, 150?\n\"Answer: -j + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23.03481 times -0.2\nAnswer: -4.606962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10*(14 + -9). Let y(m) = -2*m - 8*m**2 - 3*m**l + m + 4*m**3 + 9. Let n be y(8). Which is greater: -2\/55 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/39 (b) 0 (c) 2\/3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 9*s - 15. Suppose -d - d - 2 = n, -6 = -3*d. Let k be q(n). Let b = -29 - k. Solve -f - b = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:06 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.165 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3592, 7263, 10934, 14605?\n\"Answer: 3671*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5529 and -3.\nAnswer: -16587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.15?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 2*r**2 - 14*r + 14*r)*(-675 - r + 1356 - 675) to the form s*r**2 + k*r + n + f*r**3 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.341 to zero dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -26*r + 26*r + 89*r**2 - 91*r**2. Let a(s) = 45*s**2. What is a(n(y))?\nAnswer: 180*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 18 = 4*u, 18*o - 21*o - 1 = -5*u - 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssstwwsssstwsssss. What is prob of picking 1 s and 2 w?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/2)\/(3 + -2). Let z be (-5)\/2*(0 + 2). Let h = f - z. Are 1 and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1615182 and 39042?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/2 + 2*p. Let m(q) be the second derivative of 0*q**2 + 2*q + 0*q**3 - 8 + 5\/12*q**4. Calculate m(l(w)).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 15 = 0, -11*q = -12*q + 4*w + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -13, -0.17, 2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -107 + 880*d + 1 - 814*d. List the prime factors of m(6).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 30108?\nAnswer: -30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8400335 and 61024?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 242 = -90*i. What is the lowest common multiple of 158 and i?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13070870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/14 - 39*d**5\/4 - d**3\/6 + 23*d**2 + 744*d - 1. What is the second derivative of l(w) wrt w?\nAnswer: 60*w**3 - 1170*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226970 is divided by 358?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52647 - 52650. Let h(g) = -5*g + 2. Let d(z) = -4*z + 1. Let s(f) = 2*f - 10. Let x be s(7). What is w*h(k) + x*d(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11bbb699 + -4?\nAnswer: 11bbb695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48305724653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(124\/((-8184)\/77)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1275)\/(-15) + (2 - -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1358 and 374808.\nAnswer: 374808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78635*r**2 - r + r - 78642*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31680 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**7\/105 + c**6\/60 + c**2\/2 - 2. Let r(y) be the second derivative of f(y). Factor r(o).\nAnswer: 2*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (1 - (-3 + 2)). Let x be 0*(2\/j - 0). What is the closest to 0.2 in x, -1\/2, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 756. Let v(z) = -9*z + 1492. Give 5*o(j) + 3*v(j).\nAnswer: -2*j + 696","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -5\/6*p**3 - 3*p**2 + 0*p**4 + 0 - 1\/30*p**5 + 0*p. Find the first derivative of a(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (41 - 13) - (582\/4)\/(15\/10).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m - 215*m + 40*m + 19*m - 2.\nAnswer: -143*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-1)*h*h)\/h)*h)\/h)**(-33)\/((h\/(h\/(h\/(h*h*h*((h**(2\/15)*h*h)\/h)\/h))))\/(h**(-2\/15)\/h)) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92*v**3 - 9434 + v**2 + 16911 - 2*v**2 wrt v?\nAnswer: 276*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/13 - 20*u**4\/13 + 34*u**3\/13 - 16*u**2\/13.\nAnswer: 2*u**2*(u - 8)*(u - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p)\/(p**(-3)\/p*p)*p**5*p**(-4) assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -47. Suppose -f = 4*u + 5. Is (37\/2)\/((-3)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/5191 and 39\/290.\nAnswer: 51910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 394761 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 300414 - 622?\nAnswer: 277572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -914129\/19 + 48101. Is -12 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759*p + 2953*p - 735*p - 757*p - 757*p.\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20393 by -130.\nAnswer: -20393\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/9 - 11*q**5\/24 - 5*q**4\/8 - 16*q**3\/3 - 48. Let m(o) be the third derivative of w(o). Factor m(y).\nAnswer: -5*(y + 1)*(8*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(3\/7))\/n)**47)**13*((n*n**(-4\/7))\/(n\/(n*n\/n**(3\/4))))\/(n**(-1\/5)\/((n*n*(n*n*n*n**(-1\/11))\/n)\/n)) assuming n is positive.\nAnswer: n**(543513\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 0. Let x = -0.07 + u. Suppose -2*n = 3*n - 25. What is the nearest to x in n, -2\/17, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b**3 - b**2 + 2*b + 3. Let m be n(4). Let u = m - 375. Suppose -6*i + 2*i = -u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/67, 3, 2 in increasing order.\nAnswer: 4\/67, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1000351 and 52151?\nAnswer: 11003861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/84 and 348854\/54540 - -2*-3*1.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41\/2 of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -52*c. Suppose v = 2*f + 4, -3*f + v - 2 = 2. Suppose -2*n - 2 = -f*n. Is y(n) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = 90. Let i(n) = n + 42. Suppose 0 = 5*b - 5*z + 5, -b + 3 = 3*z - 0. Calculate the remainder when i(b) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 x, and 1 o when four letters picked without replacement from ccocoovfvxoxco?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/33 + -2 - (82966730\/(-242) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/17)*h*h*h\/(h*h**(-4\/7)\/h))**(-3\/29))**(3\/8) assuming h is positive.\nAnswer: h**(-2385\/13804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078899 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -7*o**5\/20 + o**4\/6 + 57*o**3 + 2*o + 7. What is the second derivative of k(m) wrt m?\nAnswer: -42*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -11680.4.\nAnswer: 4672.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + sqrt(162))**2 + -4.\nAnswer: 54*sqrt(2) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773146533?\nAnswer: 3, 257715511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(125) - ((1 + sqrt(125))*-1 - sqrt(125)) - -6*(sqrt(125) + (sqrt(125) - (sqrt(125) + 0 + sqrt(125) + sqrt(125)))))**2 + -3.\nAnswer: -9011 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 4 + 21 - (-6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 12*v + 17. Let p be -2*(-2)\/16 + 51\/4. Let n be f(p). Solve 18 = -2*u - 5*a - 17, n*u + 4*a + 40 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43654200 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/23760 and 23\/3390?\nAnswer: 2684880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -2 + (0 - 2). Suppose 4*w - 9 = -2*y + 11, 4*w - 4 = d. Let j be ((-12)\/(-8))\/(6\/y). What is the greatest common divisor of 14 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3282?\nAnswer: 1\/3282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1288241193, -2576482385, -3864723577, -5152964769, -6441205961, -7729447153?\n\"Answer: -1288241192*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 1 + 4 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 4. Calculate l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdds when four letters picked without replacement from {s: 3, f: 6, d: 4}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((112\/12)\/(-14)). Let a(x) = 4*x - 2*x + 16 - 2*x + x. Let s be a(-11). Solve -13 = -c + f*l, c - s*c = l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/24)\/((-6)\/4))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-12)\/60)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -155. Find the common denominator of -5 + 2 - (-274)\/54 and 530\/(-159)*a\/(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14209830 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 - 6*f + 9. Suppose a + 19 = -4*u, 3*u - 3 = 4*u. Let j be v(a). Let n(k) = k**2 + 2*k - 3. Calculate n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 2, -1, -18 in increasing order.\nAnswer: -18, -5, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 33 = -3*u, 2*u = -5*g + 64 - 28. Solve g = -5*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266b43 (base 14) to base 9\nAnswer: 2438275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 7. Suppose r + s = -2*p, -2*r = -5*p - 0*p - 24. Solve 0 = r*n - 5*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-96)*22950\/(-3570) and -101\/70?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9875*w + 9871*w + 9*w**2 + 9*w**2.\nAnswer: 18*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9 - 1. Let p = 18 + -15. What is the greatest common divisor of d and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 8*h - 2939. Let k(y) = 1046*y. Calculate o(k(r)).\nAnswer: -1094116*r**2 + 8368*r - 2939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1\/n)*n**15)\/(n**(1\/12)\/n**12) assuming n is positive.\nAnswer: n**(335\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*s + 165 = 292*s - 588*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.87013 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -32 - (-13 - (-33 + 14 - -11)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26057 and 4686?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 25990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -70, -159, -318, -571?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.88 - 1.38. Let b = 421 + -416. What is the third biggest value in b, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/50 and -29\/2324960?\nAnswer: 11624800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(15\/8)\/((b\/(b**(1\/64)\/b))\/b) assuming b is positive.\nAnswer: b**(57\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from pqdduuuiqqdudqpqipu?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 7*h**3\/6 + 36581848*h**2\/3 + 95587982101606*h\/3 + 54621692112968\/3 = 0.\nAnswer: -5225978, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -25, 55 = -3*u + 5*u + n. Suppose -u = -5*x + 35. Calculate the highest common divisor of 91 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 3*g**2 - 2*g + 7. Let y(c) be the first derivative of -c**4\/4 + c**3\/3 - c**2\/2 + 3*c - 20. Let o(x) = 2*m(x) - 5*y(x). Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1713 - 1137. Let j be (-1536)\/t + (-2)\/6*-4. Let k = -433\/5 + 87. Which is the third biggest value? (a) k (b) 1\/3 (c) 9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 39. Suppose j = -2*a + 5 - 1. Factor -10*h + 25\/3*h**a + 3.\nAnswer: (5*h - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Let b(g) = -2*g**2 - 4*g + 4. Let k(m) = -b(m) + 4*d(m). Let u be (-6)\/(-2) + 1 + -2. Let c(p) = -p - u*p - p + p. Calculate c(k(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1\/9, 0.006467?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1792, 3537, 5282, 7027, 8772, 10517?\nAnswer: 12262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.19? (a) 2\/5 (b) 14082 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 24*h - 2. Let y be u(-13). What is the units digit of y\/(-4) + (-16)\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1449 and 644?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 113664?\nAnswer: 113664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 - 147*m - 883. Calculate c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 14*a = 14*a. Let c be (1 - 0) + 1 + 0. Solve -c = -x - a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-13)*p)\/(p*p\/(p**(12\/11)\/p)*p*p))**(-3\/7) assuming p is positive.\nAnswer: p**(-366\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -6.4. Let f = k + -6. Which is the nearest to -1\/4? (a) 6 (b) 4\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3656235 by 110795.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/9 + 22*g**3\/3 + 106*g**2\/3 - 754*g\/9 - 740\/3 = 0. Calculate g.\nAnswer: -5, -2, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/528)\/((-4)\/(-8))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 171, 257?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 431*p**2 + 143*p**2 + 4 + 144*p**2 + 140*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -143. Let x(d) = -7*d - 78. Let r be x(t). Is -8 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12334 - -11211?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2225 and 3560.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (1 - 3 - (-31 + 23)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1670, -5, -4, 5.\nAnswer: -1670, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*3 + (sqrt(17) - sqrt(1700)*2))**2 + 4 + sqrt(612) + (sqrt(612) + 1)**2*2.\nAnswer: 30*sqrt(17) + 1502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*v**2 - 5*v + 4879*v**3 - 5*v - 37*v**2 - 4874*v**3 - v**4 - 3*v**4 in the form n*v**4 + s*v + x + z*v**2 + a*v**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408650825?\nAnswer: 3, 5, 677, 27743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = -4*v, 2*p + 2*p - 2*v - 24 = 0. Let s be (-165)\/(-35) - (-2)\/p. Suppose s*u - 37 = 13. Calculate the greatest common factor of 25 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*w = -18, -l + 47*w - 52*w = -27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2 - (-4 - (-110)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1268*a**2 - 4*a + 1315*a**2 + 5*a.\nAnswer: 47*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 18\/7, -16\/5, 2\/7, 3\/2 in increasing order.\nAnswer: -16\/5, -2\/23, 2\/7, 3\/2, 18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 10*c + 4. Let d be n(-10). Factor -d*s - 6*s - 9*s**2 - 5*s**3 - 7*s**2 + s**2.\nAnswer: -5*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 2. Let j(q) = -10*q - 12. Let i(y) = j(y) + 6*n(y). Let w(g) = -20*g**2 - 9*g. Determine w(i(p)).\nAnswer: -80*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -956*c**3 + 5547411582*c**2 - 5547411582*c**2.\nAnswer: -956*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 3.26.\nAnswer: 81.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363268443.\nAnswer: 3, 121089481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9830.992 kilometers in meters?\nAnswer: 9830992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 3*b**2 - 2*b - 4. Let g be m(-4). Solve 25 = -5*t, 0 = -s + 4*s + t + g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4896850 to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4425 + 2?\nAnswer: -4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/258 and 19\/903.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 346687717.5 to the nearest one million.\nAnswer: 347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 143564*b\/5 + 2576327762\/5.\nAnswer: 2*(b - 35891)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 2*o**5\/15 - o**4\/6 - o**3\/2 + 4*o**2 + 95. Give s(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3139*r + 1597*r + 1544*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 2\/17 (c) -1\/183 (d) -2\/5 (e) 390 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5605 (base 8) to base 10\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/20)\/((-6)\/15). Let o be ((-57)\/l)\/((-1)\/(-6)). Suppose 5*y + k - 143 = 685, y = -2*k + o. What is y rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 327 - 2943. What are the prime factors of o?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101110100 (base 2) in base 14?\nAnswer: 9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d + 3580. Let q(g) = g - 43. Determine m(q(j)).\nAnswer: -7*j + 3881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.2 take away -140219757268?\nAnswer: 140219757222.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4325 - -3?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*j - 84, -4*k - 39 = -3*k + 3*j. Let u be ((-275688)\/k)\/(2\/4). Let x = u + -241160\/21. What is the common denominator of x and 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(1\/9). Suppose 0 = -c - c. Let r = -159224 - -159219. Sort c, h, r, -2 in increasing order.\nAnswer: r, -2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1485 + 1546 - (2 + (-2 - 13)) - (27 + -22)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.7406 decades to centuries.\nAnswer: 65.87406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w + 392 = -32*w - 63*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 27. Let o(g) = 3*g - 18. Let j be ((-609)\/(-58))\/(48\/(-32)). What is j*o(s) + 5*w(s)?\nAnswer: -s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-715)\/(-66) + -11)*-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248205485 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -35*c**3 - 12*c**2 + 59*c - 12. Let d be n(76). Round d to the nearest 100000.\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392325 and 450.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80963554 times 0.5?\nAnswer: -40481777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95487?\nAnswer: 3, 7, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 2. Let t(u) = -11*u + 4*u - 22 + 2*u - 13*u + 3*u. Let g(n) = -22*s(n) - 2*t(n). What is g(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 - 18. Let y(f) = -6*f**3 - 38*f**2 + f + 90. Let u(x) = 11*m(x) + 2*y(x). Give u(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113a8c + 1d?\nAnswer: -113a6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 61. Find h such that 27*h**2 - 30*h + 3*h**3 + v*h**2 + 42*h + 3*h**3 = 0.\nAnswer: -6, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11014, 17225, 23460, 29719, 36002?\nAnswer: 42309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, e: 3, l: 4}. What is prob of picking 1 l and 2 w?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10880.1 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 370055046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 24 = 5*w - 7*d, 3 = d. Let j(h) = h**3 - 7*h**2 + 12*h - 7. Let v = 1\/780 - 4097\/1560. Calculate the common denominator of j(w) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/90 + (-8157)\/(-30). Let r = 859\/3 - s. Which is bigger: r or 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1648 - -3863. Suppose 4*v + 4 = 0, q - d = -2*q + 4*v. Let k = -270 + q. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -296 in -0.065, -1\/2, 0.4, -1\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -869982 + 1545982. Round u to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, w: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 13\/2, -25, 13, 0, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9041 + -9040.9. Let r = -3.89 - 0.11. What is the nearest to h in r, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5967 - -834208.21.\nAnswer: 828241.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97875*j**2 - 18113*j wrt j?\nAnswer: -195750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1610 divide 415425675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4742 in 1\/7, 3, -4, 2\/23, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 6*i**2 + 4*i - 4. Let q be k(6). Let h be 108\/q + (-2)\/5. Suppose -h*j = -2*n - 529, -3*j - 4*n - 59 = -366. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(8\/7)*z*z*z*z**3*z)\/(z**(-1\/6)*z*z*z)**(4\/7) assuming z is positive.\nAnswer: z**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(a + a - 1 - 1)*(-27*a + 47*a + 49*a) as v*a**2 + c*a + z and give c.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5899?\nAnswer: 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5845?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 - 4*y**2 - 2*y + 3. Let z(l) = l**3 + l - 1. Let m(s) = k(s) + 2*z(s). Let t be m(-3). Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/22 - -25\/66. Let d(m) be the first derivative of 1\/5*m**5 + 1\/18*m**6 - 1\/2*m**2 + 1\/6*m**4 + 1 - f*m - 2\/9*m**3. Factor d(i).\nAnswer: (i - 1)*(i + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1 + 0 - 1 + z**2. Let a(l) = -12*l**2. Calculate n(a(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 12*s + 39. Sort s, 5, 33 in decreasing order.\nAnswer: 33, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 1. Let c(b) = 14*b**3 - 2*b**2 - 8*b + 12. Give c(y) + 12*s(y).\nAnswer: 2*y**3 - 2*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*21.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 16*n - 26. Let x be y(-18). Let a = 40 - x. Suppose 4*b - b = a. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 4. Let v = -11 + -3. Let z be l(v). Let j = z - 20. Solve b = -2*g, 18 = 3*g - j*b + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -94*r**5\/5 + 2*r**3\/3 + 45*r - 95. Find the third derivative of x(j) wrt j.\nAnswer: -2256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92 + 66*f + 92)*(-3*f + 0*f + f) to u + l*f + w*f**2 and give w.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + l**3 + l**2 + (l + l - l)*(-95*l**2 - 2*l**2 + 29*l**2) as y + i*l + s*l**2 + u*l**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let a = h - 0. Suppose a*d + 65 = 7*d. What is the remainder when 36 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 + 5899678 + 2. Let m(h) = -1200108*h - 4. Let u be m(-3). Suppose w = a + u. What is w rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 270\/4*(-2016)\/(-70). Suppose -4*s - 1935 = -3*h, 4*s - q = -3*h + 5*s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.54+23575169\nAnswer: 23575172.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/(-45))\/((-76)\/(-10)). Let x = -211\/285 - o. Let t be (0 - 12\/(-16))*4\/6. What is the third smallest value in -1, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 - 21\/((-210)\/(-4)). Which is the third biggest value? (a) -2289 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*x - 781*x = 1716 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.5 + -32.5. Let m be ((-6)\/(-9))\/(2\/3). What is the nearest to 1 in 0.2, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 - 2*u**2 + 4*u + 0*u + 9*u**3 + 14*u**3 - 29*u**3 + 5*u**3. What is c(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13 = 2. Find the first derivative of -2 - f - 2*f**d - 8*f**3 + f - f wrt f.\nAnswer: -30*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b**2 - 3*b + 3. Let n be r(2). Let p be (-20)\/(-3) + (-1)\/n. Let j = 7 + p. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557401015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5978 = -226*a + 403*a + 250*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, -111, -244, -431, -672, -967?\n\"Answer: -27*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*2 - sqrt(88))*-3 - 2*sqrt(88)*-6)\/(-4*(-1*sqrt(1152) - sqrt(1152) - sqrt(1152)))*-6)**2 + 3.\nAnswer: 291\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 104, 135, 178, 233?\n\"Answer: 6*t**2 + t + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*2\/88*((-728)\/(-21))\/26.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -4\/5 (b) 1\/3 (c) -4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - 201613?\nAnswer: -201543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31118.827 plus -5?\nAnswer: -31123.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1127755313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 26*i + 8059. Suppose -13*q = 7*q - q. Is c(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 4*r**2 - r**2)*(2 - 2*r**2 - 2)*(31*r - 2 - 56*r + 26*r).\nAnswer: -12*r**5 + 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 - q**3 - q**3 - q**3 - 2*q**3 + q**3 - 3*q**3 + 5*q**3 - q**3 + (0*q + 0*q + 2*q)*(-q**2 + 2*q**2 - 3*q**2).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573984 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*b)*(7*b - 4*b - 2*b) + (2*b**2 + 2*b**2 - 3*b**2)*(-3 + 22 + 3).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6917632 or 6917642?\nAnswer: 6917632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -90?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(143)*3 + sqrt(143) - sqrt(143) - sqrt(143)))\/(-4*sqrt(176) + sqrt(11) + sqrt(11) - (sqrt(297) + sqrt(33))\/sqrt(3)) + 2.\nAnswer: -7*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/13)*j*j**(1\/15)\/j*((j*j**(-14))\/j)\/(j\/((j*j**16\/j)\/j)) assuming j is positive.\nAnswer: j**(-77\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-23*i + 23*i - 7*i**5).\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(9\/5))**(-2\/3) assuming u is positive.\nAnswer: u**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/6 + 251*y**3\/3 - 2527*y**2\/6 + 2026*y\/3 - 338 = 0. What is y?\nAnswer: -507, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 - 1105\/9. Let y = 0.2 - 0.6. Let z = 277\/437 + -17\/23. Which is the third smallest value? (a) z (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492 by -3.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*(a*a\/(a\/a**7)*a*a*a*a)\/a)\/a*a**(-3\/2))\/((a\/a**(-2))\/(a*a**(-4\/3)\/a)))**(9\/4))**37 assuming a is positive.\nAnswer: a**(4107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -68. Suppose -3*j = -60 - x. Calculate the remainder when j is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + -3 + (-3 + sqrt(242)*3)**2 + (3 + sqrt(242)*-4)**2).\nAnswer: -36396 + 2772*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.3 - 55.3599019.\nAnswer: -10.0599019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltlt when four letters picked without replacement from {l: 12, t: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 48874*u + 5893680 = 0. What is u?\nAnswer: -120, 24557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00470091 rounded to 6 dps?\nAnswer: -0.004701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 4*d**2 + 3*d + 2. Let y be s(-3). Suppose -4*g + y*g + 68 = 0. Suppose -g - 74 = -4*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 28*s + 760. What is b(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425803019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476569 + 5222213\/11. Let a = 1821 + w. Calculate the common denominator of -31\/9 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 17. Let t be j(-15). Suppose 5*c - 15 = -2*v, -t*c - 5*v = 3*c. Let r = -0.5 - -1.5. What is the smallest value in c, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -2*p. Let s be (-3)\/p + 15\/4. Find the second derivative of 3*x + s*x**2 + 4*x + 0*x**2 + 15*x wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/81 (b) -1 (c) -9 (d) 0.4 (e) 0.019 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17426.\nAnswer: 2, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**27 assuming v is positive.\nAnswer: v**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97354*w**5 + 11861*w + 15 wrt w?\nAnswer: -1947080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -1786*t + 1782*t + 76, -16*i + 271 = 5*t for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 1. Let n = -22 - -26. Let s be (2\/n)\/(1\/(-2)). Let l be j(s). Let a(b) = -2*b**2 - 4*b - 4. Give a(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssggs. What is prob of picking 1 g and 1 s?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -11 (c) -3\/5 (d) -2\/3 (e) -2.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 78724085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -53\/61338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3228 = 35*h - 3613 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2 - 5*g - 3. Let q(b) = -2*b**2 - 2*b - 1. Let c(x) = 4*o(x) - 11*q(x). Let j be c(1). Does 12 divide (17\/j)\/((-2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - 7*i)*(-2*i**3 - i**3 + 5*i**3) - 22*i**4 + 57*i**4 - 63*i**4.\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n - 5 = 0. Let l = 348 - 11500\/33. Let i = l - -13\/231. Is i less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(17\/(-5) - -3). Let o(g) = 5*g - 4. Let p be o(y). What is the second derivative of 3*z - p*z**2 - z - 4 + 4 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1947 and 698978841.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66515515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7131349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*c = -76, 4*x - 82 = c + 2. Suppose -2*p + 362 = 4*z, p - 155 = 2*z + x. Calculate the remainder when p is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3 - 8)*(659 - 1035 + 664)*(w - 3*w + 4*w).\nAnswer: 3456*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*j - 128*j - 176. Let m(a) = 9*a**2 + 6*a + 1. Let w(l) = -19*l**2 - 13*l - 3. Give j*w(g) - 9*m(g).\nAnswer: -5*g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6228 and 3492?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*a)*(-2 + 0 + 4 - 1 + 2 - 3 + 3 - 3 - 1 + 1 + 1 - 4 + 2 - 4 + 1 + 3 - 1 + 0 + (1 + 0 + 0)*(0 - 1 - 1))*(12*a - 5*a + 4*a).\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.978627 + 3.977647. Let j = 12 - -27. Let x = y + j. What is x rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3476413 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(605) + sqrt(605)*2) - (sqrt(605)*1 + -1)) + sqrt(605)*1*5 + -4 + sqrt(605)*2)**2.\nAnswer: -1386*sqrt(5) + 266814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 52*r + 378. Let o = -4 - -20. What is the least common multiple of j(-7) and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 14*v**2 - 14*v**2 + (3*v**2 + 4*v**2 - 5*v**2)*(20*v**3 - 1242*v + 1242*v) - v**5 - 3*v**5 + 2*v**5.\nAnswer: 42*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2353.8.\nAnswer: 706.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*t + 22, -10441*t + 44 = -5218*t - 5219*t - 2*l for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:56 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -308.993 + -3.607. Let o = i - -60.1. Round o to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 3*r + 2. Let g be j(-2). Suppose 114 = -g*t + 2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10486, -10288, -9974, -9544, -8998, -8336, -7558?\n\"Answer: 58*w**2 + 24*w - 10568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1305*r**2 + 573*r**2 - 461*r**2 + 1011*r**2 + 873*r**2 in the form t*r + p + v*r**2 and give v.\nAnswer: 3301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 - (7 - (-1 + 5))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*d**4 + 520*d**3 + 297974*d**2.\nAnswer: -1584*d + 3120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938362 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 33.39. Let y = 62.61 - p. Let q = 62.99999942 - y. What is q rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*f**2*s - c*f**2 + 3*c*f*p + 3*c*p*s - 5*f**2*p*s + 18*f**2*s + 13*f*p + 2*p*s wrt f?\nAnswer: 2*c*s - 2*c - 10*p*s + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 - 9611*m + 17805130 = 0.\nAnswer: 2506, 7105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044898527 plus 0.1255?\nAnswer: 0.080601473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 + -52970225?\nAnswer: -52970676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19171.16 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + 4. Suppose -5*p - 5*w = -m, 3*w = -0*w - 9. Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6695\/18 + -372. Let k = 154 - 74. Let i = k + -80. Is i at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.043 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1025*3\/(-10)*3410\/8525.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 14) to base 6\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*6\/20*6. Suppose 4*a = -4*r + 4, -n*r + 25 = -5*a - 4*r. Let p = -13 - -12. Sort a, p, -1\/4.\nAnswer: a, p, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 + 23*q**2 - 178)*(0*q + 0*q - 2*q)*(0 - 2 + 1).\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -32630201?\nAnswer: 32630220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16142256 divided by -25869?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 0*f**2 + 0*f - 19*f + f**2 + 0*f**2 + 3. Let o be b(19). Solve -2*p - o = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**3 + 12*s**3 + s**3 - 10*s**2 - 25*s**3 - 11 as t*s**3 + y + g*s**2 + r*s and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 4:46 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 95*h**5 + 14375*h**4\/3 - 114485*h**3\/3 - 358705*h**2 + 2360480*h\/3 + 260260\/3 = 0?\nAnswer: -169\/3, -7, -2\/19, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/7 (b) -4 (c) 617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24158 a multiple of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61593388.\nAnswer: 2, 3803, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 264 + -271. Let i(o) = 4*o**3 + 9*o**2 - 5*o**3 - 17 + 2*o**3 + 11*o. Let t be i(h). Solve -t = -2*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 363*i + 176*i - 2 - 373*i**3.\nAnswer: -373*i**3 - 187*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 48. Suppose 4*d - 17 = -n, x - 1 = 3*d - n. Suppose d*q = -5*s + 45, -q - 1 + 6 = -5*s. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 868 + -4 + 13 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose o*r - 12 = -r. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*g + 287, 0 = l + 40*g - 41*g - 63. Calculate the greatest common factor of l and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2828107905.\nAnswer: 3, 5, 7, 107, 211, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -768, -1542, -2318, -3096?\nAnswer: -3876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/163 and 46 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, 1\/9, -0.09, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 23, 0.13, 0.4 in increasing order.\nAnswer: -2\/9, 0.13, 0.4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:09 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3185793 by 219.\nAnswer: -14547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 7) to base 3\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 5:29 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 42 = -0*f - 6. Solve c + 5 = -5*s - 3, 3*c = f*s - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/96 and -81\/112?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/2 + 1\/1. Differentiate 3*z**2 + c*z**2 - 4*z**2 + 1 wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/11)\/v)**(1\/4) assuming v is positive.\nAnswer: v**(-15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171\/20 + 553\/60. Solve -a*o**2 + 4\/3*o - 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*j + 344 - 371 = 0, -4*x - 62 = 2*j for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -82 - 148. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 504759978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 + 5*x**3.\nAnswer: -5*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f + 1. Let h be w(-1). Let k be ((-4)\/(-8))\/(h\/(-12)). Let y be (12\/10)\/(k\/(-45)). Calculate the greatest common divisor of 72 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/21)*u)\/((u*u\/(u\/(((u*u**(-2\/15)*u*u)\/u)\/u*u))*u)\/u*u) assuming u is positive.\nAnswer: u**(-97\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.14 and -2712066 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-16)*61*(-304)\/(-4636).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2445095233.\nAnswer: 7, 349299319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -240.947 + -0.053. Let z = 241.1 + f. What is the biggest value in 2\/5, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i + 4*i**2 + 11*i - 5*i. Let p(n) = n**2 - 2*n - 2. Let d(t) = 3*t**2 - 7*t - 7. Let k(w) = -6*d(w) + 21*p(w). Give u(k(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -472 - -466. Which is the biggest value? (a) -0.31 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 18. Let s(w) = 3*w - 18. Let c(o) = -3*g(o) + 2*s(o). Let b be c(6). Suppose b = -p + 110 + 93. Is p a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 25. Let o(k) = -k**2 + k. Let t(p) = 9*p**2 - 5*p + 2. Let f(y) = d*o(y) + t(y). What is the derivative of f(h) wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and 0.2.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 10, 46*p - 30425 = 43*p - 5*w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1269 and 216.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18579 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -220 times 2.16\nAnswer: -475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37\/3*j**2 + 34\/3*j**3 + 4\/3 + 8\/3*j - 3*j**4 = 0.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43628?\nAnswer: 2, 13, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**5 - k**4 + k**2 + 1. Let j(i) = 1955*i**5 + 4*i**4 - 4*i**2 + 81*i - 1. Let s(b) = -j(b) - 4*p(b). Find the second derivative of s(a) wrt a.\nAnswer: -38780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 4*g**2 + 4*g + 5. Let a be ((-4)\/(-8))\/(1\/10). Let n be l(a). Suppose n = -4*b + 21 - 1. Solve b*x - 6 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 1\/20*p**5 - 11\/6*p**3 - 1\/2*p**2 + 3\/4*p**4 + 0 - 4*p. Calculate the remainder when 26 is divided by f(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -183*u**4 - 3235*u**3\/3 - u - 443. What is the third derivative of l(g) wrt g?\nAnswer: -4392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.4 (b) -0.3 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*r - 4 + 4 - 145*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igc when three letters picked without replacement from jjgccjjiggjcjijj.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -184?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 853 - 532. What is the remainder when k is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)*q\/((q*q*q**(-14)*q)\/q))\/((((q**(2\/3)*q)\/q)\/q)\/(q*q**(-29))) assuming q is positive.\nAnswer: q**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 16*j + 36. Calculate f(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 5*r + 4. Let q be (-2 + (-70)\/(-15))*27\/12. Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*h + 25, -3*q = 3*h + 2496051. Let m be q\/16 + 12\/16. Round m to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8513.60506 rounded to the nearest 10?\nAnswer: -8510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 n when four letters picked without replacement from hcnnnninnncchinhhnn.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + (0 + -4 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1140)\/75)\/(4\/(-10))*-1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13*t**2 + 8*t. Suppose -2*s + 2 = -2. Let a(x) = -4*x**2 + 3*x. Let w(r) = s*m(r) - 7*a(r). What is the second derivative of w(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 4*x - 95. Give p(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(11 + 26 + 1)*(9*w**4 + 12*w - 20*w**4 + 19*w**4).\nAnswer: 1216*w**4 + 1824*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/4)\/((-60)\/114864). Let m = -1435 - s. Factor -m - 2\/5*n + 4\/5*n**2 + 2\/5*n**3.\nAnswer: 2*(n - 1)*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1246*p + 27856. Calculate i(-24).\nAnswer: -2048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (9 + 6 + -12 - (-10 - -5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4)*-1)\/(4\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q - 180 = -3*b, 0 = 3*q - 2*b - 507. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2492 < -9147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -4490825350765?\nAnswer: -4490825350765.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/(132\/12) + (-51)\/(-12) and -71\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 218*d - 217*d - 20, -2*d - 2*q = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5454 (base 6) to base 3.\nAnswer: 1201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 4. Let s be (-10)\/(-25) - t\/(-10). What is the biggest value in 1, s, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1147.9997643 - 1148. Round d to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25488727 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -895*(-2 + (-4088)\/(-2050)). Let o = 38066\/6765 - c. Let y = o - -2\/165. Is y <= -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (28 - 34)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/6 - z**2\/2 - z. Determine c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w**5 + 17*w**4 - 5*w**3 - 5*w**2. Let o(i) = -56*i**5 + 86*i**4 - 26*i**3 - 26*i**2. Let s(n) = 11*l(n) - 2*o(n). Factor s(g).\nAnswer: -3*g**2*(g - 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1364\/(-21))\/11 + 2\/(-21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 441*w**2 + 100 - 375*w**2 - 102 - w to y + m*w**2 + k*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 times 0.041213?\nAnswer: -26.953302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/626 or 12657?\nAnswer: 1\/626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.239491 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*k**5*v + 2*k**3*v**3 - 133*k**2*v**2 + v**3 wrt k?\nAnswer: 4860*k**2*v + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143.5 + 54.64383?\nAnswer: 1198.14383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3)\/y**(2\/7))\/(y**7*((y\/(y\/y**(5\/3)))\/y)\/y) assuming y is positive.\nAnswer: y**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 11) to base 5\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 1654973887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 19, j: 1}. Give prob of sequence rjr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.99759 to 1 dp.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*b + 19. Suppose 9 = -m + b*m. What is the smallest value in 0, 1, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - -2 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -20 + 41 + -18. Determine g, given that -8\/3 + 4\/3*g**5 + 4\/3*g - 8\/3*g**3 + 16\/3*g**b - 8\/3*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 2 (b) 0.1 (c) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3149147257 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*c + 53*c + 3572 = 84*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -419, -861, -1309, -1769, -2247, -2749?\n\"Answer: -l**3 + 3*l**2 - 444*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58531 - 39894. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2)*(-10)\/2. Suppose -45 - 15 = -z*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5) + 1 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = -2*t. Let g(k) = 4*k**2 - 6*k - 15. Let r(d) = -5*d**2 + 7*d + 16. Let y(c) = t*g(c) - 5*r(c). List the prime factors of y(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383.7 + 380.7. What is the third biggest value in 1, -7, r, 15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1656 = 16*l. Calculate the remainder when 409 is divided by l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.7. Let t = d - -3.6. Suppose 1 = z + w, -5*w = 174*z - 173*z - 9. Which is the nearest to z? (a) 0.1 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14.9, -4, -1\/5, 0, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -999 - -999.023. Is p greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 13*q**2 - 4*q - 2. Let z be i(13). Let j = -2 - z. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 72718, 72724, 72730, 72736, 72742?\n\"Answer: 6*w + 72712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 44 + (-40 - -8)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5232604?\nAnswer: 2, 13, 47, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3013 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = 6*m. Let z(h) = -h**3 - 4*h**2 - 5*h - 4. Let r be z(-3). Sort -4, m, r.\nAnswer: -4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 1100*s\/3 - 1102\/3.\nAnswer: 2*(s - 551)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8*q = 2*x - 102, -x = q - 26. What is the smallest common multiple of (-14)\/4*(-12)\/21 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2883.627 microseconds?\nAnswer: 0.00004806045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24676 is divided by 301?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 2*m + 4 + 4*m. Suppose -k - 5*r + 12 = 0, 0 = -9*k + 7*k - r + 6. What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d + 1. Let q = -3 + -3. Let g(b) = -b**3 - 6*b**2 + 6*b - 14. Give q*f(y) - g(y).\nAnswer: y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) 1.448911 (d) 1\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 2)\/((-30)\/12). Suppose 17 = m*s + 5. Suppose -3*y = s*y - 3462. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/22 - ((-90)\/(-12) + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2, -45.7 in ascending order.\nAnswer: -45.7, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -9394.845859?\nAnswer: -9394.905859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.12, -3\/7, -7\/3, -1 in descending order.\nAnswer: 0.12, -3\/7, -1, -7\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*3*3 + sqrt(204) - (sqrt(204)*1*-1 - sqrt(204)))\/((-2*sqrt(108)*-3)\/((sqrt(1089) - 1*sqrt(1089)) + sqrt(1089))).\nAnswer: 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 27*z + 45. Let k be l(-26). What is the biggest value in k, -0.2, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -2*v**7\/21 - 4*v**6\/15 + 2*v**4\/3 + 2*v**3\/3 - 6*v. Determine s so that p(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2*d + d)*(5 + 0 - 3) + (-1 + 54 - 109)*(-9*d - 4*d + 8*d).\nAnswer: 276*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/3 + (0 - -5). Suppose -k*f - 15 = -7*f. Let h(t) = t**2 + 5*t. Let z be h(-5). Solve z = f*s - 5*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:18 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8*q + 20. Suppose 80 = q*b + 5. Let a = b + -13. Solve 4*f = -2*i - 0*i, 0 = 2*i + a*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*q**5 - 4259*q - 2 wrt q.\nAnswer: 5640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**9\/3780 - o**5\/20 + 2*o**2. Let s(l) be the third derivative of v(l). Is 16 a factor of s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68951.15 nanograms in micrograms?\nAnswer: 68.95115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -43*m + 14. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 93512 = -3*x, -3*q + 55604 = 2*x - 84669. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4 + 8*p - 2 + 4. Suppose -882 = -45*x + 48*x. Let k = x + 291. What is z(k)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 296? (a) 8 (b) 0.2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 + 18.1. Let m = c - 26. Let l = -6 - m. What is the smallest value in -5, l, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 4325*x - 12993. Calculate t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36907590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 0 (c) -5.64214 (d) 0.4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260534 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: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5739\/104 - -3117\/56. Calculate the common denominator of g and -17\/126.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 11. Let c(k) = 3*k + 2. Let p(q) = -13*q - 7. Let o(m) = 9*c(m) + 2*p(m). Let v(d) = 10*d - 1. Let b be v(-1). What is b*o(l) + 4*y(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -60, -4\/5, -0.4 in descending order.\nAnswer: -0.4, -4\/5, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2299) + 1) + sqrt(2299))**2 + (sqrt(2299) + (-6*(sqrt(2299)*-2 - sqrt(2299)) + sqrt(2299) - sqrt(2299)))**2.\nAnswer: 924*sqrt(19) + 942626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:33 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1*(-3)\/(-6). Is h less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15)*((-550)\/84)\/((-1350)\/945)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 103, 253, 483, 805, 1231, 1773?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (83\/249)\/((-1)\/(-219) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1200*v**2 + v + 103. Is j(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j. Let c be k(-8). Let f = c - 24. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b + 3*p, 2*p = -5*b + 4*p + 20. Suppose 0 = -5*m - 10, -f + 2*m = b*f + 16. Sort f, -0.5, 2 in ascending order.\nAnswer: f, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.7 + 24.7. What is the third biggest value in -5, h, 5, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663533 <= 3663535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 6) + (-18)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -415540*b - 3739858. Calculate t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37044\/(-168))\/(-49)*4\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -13\/14*t**7 - 1 + 59*t + 0*t**2 + 31\/3*t**3 + 0*t**6 + 0*t**5 + 0*t**4. What is the second derivative of n(y) wrt y?\nAnswer: -780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997 (base 16) in base 11?\nAnswer: 7aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -1104. Let t = g - 375. What are the prime factors of t?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1204\/(-1118))\/(168\/182)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 - 147 = 4558*k - 4611*k - 927 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.25 - -0.38. Let k = y - -2.08. Let u = 0.15 - k. What is u rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -688*k**2*m**3*q - k**2*q - 2*k*m**3*q**2 - 67*k*m*q**2 - 4*m**2*q wrt m.\nAnswer: -4128*k**2*q - 12*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 1. Let h be t(-1). Suppose 0 = 3863*a - 3888*a + 1500. Calculate the greatest common divisor of a and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 9*u**2 + 13*u + 16. Let i be t(-8). Calculate the common denominator of (318\/99)\/((-16)\/(-24)) and (5\/30)\/((-2)\/i).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 269 + 93?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11363251, -22726502, -34089753, -45453004?\nAnswer: -56816255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 0.2 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 17. Let v(h) = h - 3. Let o be v(6). Let m(n) = 17*n**2 + 5*n - 3. Let g be m(o). Calculate the highest common divisor of g and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148719 is divided by 560.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -25*l - 117. Let b be y(-8). Suppose 160 = -b*g + 87*g. Is g not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*5585*((-6)\/1 - (-352)\/64).\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/63)\/(7\/14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + t**2 - 4*t**2 to the form x*t**2 + z + w*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8069462 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:35 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.3196839 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 929, 921, 899, 857, 789, 689?\n\"Answer: -y**3 - y**2 + 2*y + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6834 + 6835. Solve 4*f + x = -v - 2, f + 15 = -5*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*(-2)\/(-3). What is the smallest value in t, 2, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5\/4 + 63*f**4\/4 - 219*f**3\/4 + 261*f**2\/4 - 51*f\/2 = 0.\nAnswer: 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 170*h - 152. Let k be 84\/49*(-4)\/((-8)\/7). What is the hundreds digit of v(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*h + 109 = 0, 4*h = 6*g - 1295 + 1493 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240750367 divided by 277043.\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (3 + (-246)\/9) and 89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -4991*j + 5064*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 divided by -4.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - n + 5, 3*n + 2 = n. Suppose -9 = u - 63. Calculate the highest common divisor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4540*r - 4543*r - 27*r**2 + 28*r**2 + 59*r**2.\nAnswer: 60*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.54. Put g, -1\/6, 0, -0.2 in decreasing order.\nAnswer: g, 0, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4032 and -67\/56.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*c - 8*m, -23*m + 22 = -3*c - 25*m - 13 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 15069 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3520?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**2 - 6*g**2 - 4*g - 5*g**2 - 2*g - g**2 + 2*g + (-3*g + 2*g + 3*g)*(5 + 3*g - 5) - 2*g**2 - 1 + 1.\nAnswer: 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 30*i**2 + 72*i**2 - 1.\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5 + 4. Let j be (-1)\/(-3) + 5\/l. Suppose -4*s + 14 = t, -j*t + s - 1 = -11. 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: Simplify z**17\/(z\/z**9)*(z**(-29)*z)\/(z*z**33) assuming z is positive.\nAnswer: z**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + 4*d + (-4 + 6 - 3)*(3*d - 3*d + 4*d) - d + 3 - 3)*(-1 - 3 + 2).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5775)\/(-660)*(-7)\/(420\/(-8)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(-12\/13))))\/i**(-26)*(i\/(i*i**21))\/(i*i*i*i*i**(3\/16)*i))**(-10\/3) assuming i is positive.\nAnswer: i**(115\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7746*k + 3927198. Calculate l(-507).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8 and -49\/12200?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 38, 35, 32, 29, 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -29 + (9 - (20 - 24))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1400040?\nAnswer: 1400045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/122 - -83\/244. Let d(a) be the first derivative of 0*a + 25 - b*a**3 - 1\/20*a**5 + 3\/16*a**4 + 1\/8*a**2. Factor d(v).\nAnswer: -v*(v - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 2. Let j = -1 + q. Which is the second biggest value? (a) j (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3761*q - 268*q + 1005*q)*(-4*q**2 + 4*q**2 + 4*q**2 + (5*q - q - 2*q)*(-2*q - 4*q + 4*q) - 2*q**2 - 2*q**2 + 6*q**2).\nAnswer: -6048*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(3\/((-6)\/2)). Let l(k) = -k**2 - 10*k - 13. Let z be l(t). Is 30 a factor of 6\/z*854\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - -7 - (-1 - 4). Let u(y) = 20*y - 15. Let c be u(g). Let t = 217 - c. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 0, 3*v - p = 6 - 1. Which is smaller: v or 1\/296?\nAnswer: 1\/296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -173. What is the smallest common multiple of 26 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 59 + 183 - 83 - 70 + 9*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.079\nAnswer: 0.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/540 and 145\/20028.\nAnswer: 901260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*t - 3*t**4 - 39*t + 19*t - 23*t**2 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31297 - -31296.9999978631. What is u rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 108 - 92 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 50*o + 1. Let m(z) = z. Let y(q) = 2*h(q) - 22*m(q). Let b be y(1). What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187390 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 15 = 0. Suppose -o + a = -2*o. What is the remainder when ((-9)\/6)\/(o\/68) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (6 + -12) - -10 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -66\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -68*c**6\/5 + 311*c**5\/10 - 39*c**4\/2 + 3*c**3 + c**2 + 184*c. Suppose o(w) = 0. Calculate w.\nAnswer: -1\/17, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157948577 is divided by 232?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/16 + 0)*(-5678 - -5674).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*k - 223*k - 11*k**3 + 114*k.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-18*h**3 + 3*h**3 + h**3)*(4*h + 2*h - 5*h).\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - t + 6 = 0, -t + 5*t + 31 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.05 - 0.05. Put 5, 1.9, d in descending order.\nAnswer: 5, 1.9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2. Let r(p) be the first derivative of -38*p**3\/3 - 113. What is r(s(x))?\nAnswer: -342*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v + 6*v + 13*v + (1 + 6 - 4)*(1 - 1 - 2*v) + 0*v - v + 0*v + (4 + 0 - 3)*(v + v - 4*v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 1142*t**2 + 19994*t + 1200. What is b(-588)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r - 11. Let j(z) = 13*z + 16. Suppose 5 = -0*l - 3*l - 4*n, -26 = 2*l - 3*n. What is l*y(v) - 5*j(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let d be q\/(6 + -4) - 13589. Let h = d + 31489. What is h rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 191301587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -2, -697 in ascending order.\nAnswer: -697, -2, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -6983, 0, -4, -49 in descending order.\nAnswer: 11, 0, -4, -49, -6983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 147656*d - 1362643396.\nAnswer: -4*(d + 18457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -92, -0.5, 14, 9, 3, 0.4 in ascending order.\nAnswer: -92, -16, -0.5, 0.4, 3, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -i - 9*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11 + 3*c - c**2 + 9*c - 2*c. Let v be g(8). Suppose -10 = -5*o - 2*b, -10 + 1 = 4*o + v*b. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 98, 301, 702, 1367?\n\"Answer: 11*p**3 - 6*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.60636\nAnswer: -1.81908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i + 6. Let r be s(-6). Let p(m) = -4*m**2 + 37*m - 33. Let c be p(9). Let h = c - r. Solve -4*q + o - 6 = -4*o, 3*q - o - 1 = h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 3 - 2*a**2 + a + 5*a - 4*a to z + b*a + i*a**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -44. Let t = -5 + h. What is the remainder when t is divided by (0 - -1)*-1 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 3 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1962*y - 129484. Give i(66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**3\/2 + 9*l**2\/2 + 2*l. Let r be (-14 + -3)*645\/2193. What is p(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - d**4 - 1)*(-2 + 5 - 1)*(5*d + d - 2*d + 3*d + d - 3*d + (-3*d + d + 4*d)*(6 + 0 - 4) - 2*d + d + 0*d - 3*d - 2*d + 3*d - 3*d + 0*d + 4*d).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.1. Let c = -8.94 - 0.06. Let p = c + 5. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 15124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 4*l + 4. Suppose -2*s = 2*f - 4*s + 12, s - 5 = 0. Let h(u) = -u**2 - u + 1. Calculate f*t(c) + 3*h(c).\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/6 + (-81)\/18. Let n be -2*((-36)\/27 - 2\/u). Suppose r + f = 72, 2*r + n*r = -3*f + 289. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from eeoeeeeoeoeeeeeoeeoe?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 884*o - 32088. Calculate q(35).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*d - 4, -16*v + 12 = -79*d + 82*d - 13*v + 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3 - 15. Let k = 2 - 5. Suppose 2*z = t - 8, z = 3*t + t - 4. Which is the closest to 0.1? (a) z (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 123\/2 (c) -2\/7 (d) 0.5 (e) -2\/355 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10494\/5830)\/(6\/(-40))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3)*w)*w)\/(w\/w**(2\/15)))\/((w**(-7)*w)\/w*w*(w*w**(-2))\/w) assuming w is positive.\nAnswer: w**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345294946*w + 98478805 wrt w.\nAnswer: 345294946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t**2 + 2*t - 9 - 7 + 19. Suppose -109*d = -108*d - 37. What is the remainder when d is divided by c(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, 1\/12, 5, -2, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.2 + -3. Let k = a + -3.44. Let y = 0.14 + k. What is the smallest value in -3, -3\/5, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*l - 3, 5*q = -l - 0*l - 33. Suppose 0 = 2*s + 5 + 5. Sort 2, q, s.\nAnswer: q, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.6 and -302?\nAnswer: 299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-3*y - 4*y + 4*y)*(-7*y - 5*y + 0*y).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 170 = -456. Let z(m) = -m**2 - 58*m + 74. What is the hundreds digit of z(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -2\/13, 1\/33?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658\/6 - (4 - (-50)\/(-30)) is divided by 94.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 6. Suppose 4*j = -2*j. Suppose 2*n + 5*z + 85 = -j*n, 5*z + 175 = -5*n. Let t be ((-4)\/3)\/(n\/(-135)). What is g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-1824))\/((-2)\/(-56)). Let k = -1\/19 - q. Determine h so that -1\/3*h + k - 1\/6*h**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by ((-51)\/(-6))\/((-7)\/(-14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2. Let o(c) = -2*c - 1. Let l be o(-4). Let r(q) = -4*q**2 + l + 6*q**2 - 7. Calculate r(j(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-5) - 4\/(-10). Suppose 7 = 4*l - i. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Suppose -u*l - 1 = 119. Is 9 a factor of 10\/l + 45\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9 = -2*i. Let o = -4 - i. Let f be o\/(-3) - 2\/6. Solve -5*m + f*l + 29 = 4*l, 5*l = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13735)\/1910 - (-6 - 1) and 9\/8?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12 = -4*h, 3*b + 4*h = -204 + 199 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 782*c**3. Let i(m) = 23*m**3. Let d(j) = -14*j - 758. Let r be d(-54). Give r*q(k) + 69*i(k).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033264 to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a + 708 = -214 - 380 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, -132, -533, -1162, -2019, -3104, -4417?\nAnswer: -5958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10911 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21992.\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 5)*(-2*a**2 + 2*a**2 + a**2 + (2*a - 2*a - a)*(0 + 0 - a) + 0*a + 2*a**2 + 0*a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/25)\/((-6)\/105). Let q = -12 + r. Find t, given that 2\/3*t**q + 2*t + 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 17*x**2 - 4436*x + 58350. Calculate h(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/20 (b) -9 (c) -1\/5 (d) 2.3 (e) 5\/4 (f) 4 (g) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 6 - 6)*(15*d**4 - 132*d**3 + 61*d**3 + 73*d**3).\nAnswer: -105*d**5 - 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/4)*x*x*x**15\/x*(x\/(x*x**(-2\/87)\/x))\/(x\/(x**(3\/17)\/x*x)))**8 assuming x is positive.\nAnswer: x**(218294\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 204*h**3 + 359*h**3 + 43 + 1.\nAnswer: 563*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, o: 9, p: 2}. Give prob of sequence pop.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485662?\nAnswer: 2, 37, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91362*b**3 - 91409*b**3 + 181936*b**3.\nAnswer: -835*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-202)\/(-8))\/(10\/40).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 53*x**2 - 27*x - 10. What is c(-26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 244678*j*n**2 + j*n*x**2 - 251*n**2*x**2 + 8*n**2 + 2*n*x**2 + 3*n - 3*x**2 wrt j?\nAnswer: 244678*n**2 + n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-40) - (-1704)\/240?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -4*s, -10 = -5*j + 3*s - s. Suppose 3*o = -2*t + 515, 2*o - t - 342 = -j*t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z**2 + 2*z - 3. Let k be j(2). Let d = k + 8. Suppose 11 = 2*o + a, -d*a = 2*o - 30 - 1. Solve n = -o + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(60)\/sqrt(6))*-6)\/(-2*sqrt(1089)*-3) + 1.\nAnswer: -sqrt(3)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2 - 3)\/(-153 + 154). Sort 1, -5, 5, z, -11 in descending order.\nAnswer: 5, 1, z, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 53130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.63 - -1.29. Let h = 3.919522 - f. What is h rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3175)\/(-125) + 2\/(-5) and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13311*x + 13335*x = -360 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 4. Let u(a) be the first derivative of -3*a**2\/2 - 3*a + 1. What is -5*b(m) + 7*u(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2 - 9*q - 2 + 10*q. Let a(f) = 28*f. Calculate l(a(r)).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 take away -0.1?\nAnswer: 3102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.23. Let t = 0.32 + s. Which is the second smallest value? (a) t (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70957\/24 - -2960. What is the common denominator of y and 61\/57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12921576\/197 + 65592. Is j less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3.3. Let i = -724 - -2171\/3. Which is the biggest value? (a) q (b) i (c) 3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4751505 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0*q - 3*q)*((-6*q + 0*q + 5*q)*(1 + 0 - 2) - 3 + 3 - 4*q) to s*q + y*q**2 + x and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110100010101001100101111 + 10?\nAnswer: -111110100010101001100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:44 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13317 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-6)\/(-8)*4. Let t = -2 + p. Let c = 1 + -8. Put t, c, -5 in descending order.\nAnswer: t, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.392 - 413.392. Let l = j - -412. Which is the biggest value? (a) l (b) -3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*k - 474 = 13, 5*i + 2*k - 2427 = 0. Suppose -897 = -2*y + i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:22 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*x - 89*x = -540. Put 3, 1, x, -741 in increasing order.\nAnswer: -741, x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -277 and -532.\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/12 + 1167\/12. Let r = k - 51. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 8*w**2 + 7*w - 1. Let z be u(7). Let l(f) = -1712 + 1712 - 152*f**2 - 2*f. Let c be l(z). What is c rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1111 or -67?\nAnswer: -0.1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 40365.13 nanograms?\nAnswer: 0.04036513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3 + 9. Let x(n) = -16*n + 75. Determine x(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15465 and -0.2.\nAnswer: 15464.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 0*h**4 + 3*h**4 + (-3 - 2*h**3 + 3)*(0*h + 2*h + h) - 12*h**4 + 24*h**4 - 13*h**4.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 8. Suppose -44*w + 39*w + 30 = 0. Solve w*b - 5*b - a = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1340 and 1474?\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, -390.\nAnswer: -390, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 + -5?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 3*v**6\/10 + 5*v**3\/6 - 3*v. What is the second derivative of w(c) wrt c?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 36 = 0. Let p(x) = x**3 - 4*x**2 + 7*x - 7. Let z be p(7). Suppose -2*f = f - z. Calculate the highest common divisor of f and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 122797596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.182736 years to months.\nAnswer: 38.192832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h + 7. Let u(g) = -51*g - 21. Let b(w) = 19*f(w) + 6*u(w). Let a(z) = 9*z**3 - z**2 - 2*z + 2. Let n be a(1). Calculate b(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/5*5*-43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, -0.1, -323, -0.0504 in increasing order.\nAnswer: -323, -14, -0.1, -0.0504, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688848297?\nAnswer: 3, 229616099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -317 + 1069. Let l be (21 + 760\/(-36))*(-9)\/(-2). Which is the second smallest value? (a) l (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - 33. Let g = z - -128. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let s(y) = -y**2 + 38*y + 599. Let q be s(50). Let v(m) = -m. Let b(n) = -n - 11. Let x(i) = b(i) - 6*v(i). Give q*x(a) + 6*l(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3600 is divided by 54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/4*(-16)\/6. Factor 0*t**2 - 3*t**2 - 14 - y - 13*t - 11*t.\nAnswer: -3*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 8. Let k be s(-6). Suppose k*l + 2*l = -4, -2*n + 18 = 4*l. What is the remainder when 2\/(2\/21)*1 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591, -595, -601, -609, -619, -631?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 16*a**2 - 15*a - 13. Suppose -3*k + 5*f + 17 = 0, 32 = 3*k + 4*f - 6*f. Is y(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) 132 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6711 is divided by 1044.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 1443, 3164, 5543, 8562, 12203, 16448, 21279?\nAnswer: 26678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402638 and 79258.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9838862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 850317094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*(-595)\/(-255)*1179\/64452.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -35 + 3 - ((2 - 18\/3) + 0). Which is the second biggest value? (a) o (b) 1.5 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 7*f - 2. Calculate a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) -5 (b) 0.1 (c) -4 (d) 2\/21847\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55882992 + 36213017. Let h = k + 19669983.999993. Let y = -9 + h. Round y to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/96 and 149\/156996.\nAnswer: 1255968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/51)\/((2\/(-27))\/1). Let x be (-3)\/(-1 - 1\/2). Solve 2*j + x*n + n = -6, f = -3*j - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(475) - (3 + sqrt(475)))**2 + sqrt(19)).\nAnswer: -18 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -676 (base 15) to base 11.\nAnswer: -1109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13771324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, w: 1, h: 2}. What is prob of sequence aw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-22)\/(-165)))\/(3\/1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.11 - 15. What is d rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 170*x + 0 + 0.\nAnswer: 170*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q**25\/q)\/(q\/(q*q**(-5\/6))*q\/q**(-12)) assuming q is positive.\nAnswer: q**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 12*u + 11. Let o be p(-11). Let r be (o - 6)\/((-1)\/2). Solve -2*q + r = a, 0*q + q = 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2306536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 165\/7*a - 3\/7*a**3 + 78\/7*a**2.\nAnswer: -3*(a - 28)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 16. Suppose 13*f + 13 = 52. Suppose -f*q + 5 = -7. Solve -q*s + b = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 9:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 33*j = 5. Let k = -5108 + 5123. Solve -k = 2*z - j*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17203?\nAnswer: 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 2*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53952, -13, -6.\nAnswer: -53952, -13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)*(-8)\/16. Suppose d + h + 5 = f, d - 3*h + 6*h = -15. What is the derivative of d*n**2 - 6 - 6*n**2 + 8 wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 5*u**2 + 2*u**2 + (0*u - 2*u + u)*(-6*u + 22*u + 17*u).\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/102)\/(((-510)\/440)\/17).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 2*o - 66. Calculate the remainder when 26 is divided by c(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7264087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s - 70 + 68 - 61*s - 30.\nAnswer: -s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.34? (a) 5 (b) -6\/11 (c) 12 (d) 11\/6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -538, -819, -1102, -1387, -1674?\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58, 113, 170, 229?\n\"Answer: o**2 + 52*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -4. Suppose -h - 2*n - 16 = -r*h, 2*n - 4 = 0. Let p be 0\/(-3) + (161 - 1). What is the greatest common factor of p and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 9 + -11 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182\/18 - ((-75)\/9 + -37 + (-11840)\/(-222))\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 10*r + 27. Let w be a(-12). Suppose z + 218 + 277 = b, -w*b + 1450 = 4*z. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88a95 + -12?\nAnswer: -88aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 14*k + 19*k)*(-10*k - 6*k**4 + 2*k + 6*k).\nAnswer: -150*k**5 - 50*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -3\/31 in decreasing order.\nAnswer: -3\/31, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052776 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -16*v - 7*a - 1, 3*v - 3 = -4*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*y**2 - 80 + 84 - 6*y**2 wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/71 + 367\/213. Is s not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = -0*i - 3*i, -12 = -2*p - i. Suppose p*y - 3*y - 15 = 0. Let x be (8\/(-5))\/((-6)\/y). Solve 5*h = x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(1008) + 4) - (-1*sqrt(1008) + -4 - (sqrt(1008) + (sqrt(1008) - (0 + sqrt(1008))*3) + sqrt(1008))))**2.\nAnswer: 5376*sqrt(7) + 50416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 855739370 to the nearest one hundred thousand.\nAnswer: 855700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let j = -1 - -1.5. Let r be (-2)\/(-6) - (-2)\/3. Sort j, r, h in decreasing order.\nAnswer: h, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -4.9220186395?\nAnswer: 5.0220186395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 289, 310, 349, 412, 505, 634?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130.6 - -131. Let d = 4.3 + -4.32. Put d, 4, q in ascending order.\nAnswer: d, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, s: 9}. What is prob of sequence bs?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 2*z**3\/3 - 1. Let o(a) be the first derivative of 2*a**3\/3 - 2. Give v(o(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -10203203330?\nAnswer: 10203203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1957?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -29, -1\/3, 16\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 82 + 39 = -19. Suppose 28 = -4*n + 104. What is the remainder when n is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -53, -103, -153, -203, -253, -303?\n\"Answer: -50*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -17 + 21 - (20 + 17).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + n - 3*n - 5*n. Let a(t) = 2*t**2. Calculate a(x(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((6 + -8 - 2) + -1 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*u - u + 3 + 4*u as f + p*u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9417563 and 10128.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 186 = 4*p, -5*o - 72*p = -70*p - 188. Suppose -5*w - 112 = 93. Let a = w + o. What is the nearest to 0.2 in a, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42968 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1168561*n**2\/2 + 836694*n + 299538.\nAnswer: (1081*n + 774)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56908 * -1524.\nAnswer: 86727792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let j(l) = -l**2 + 9*l - 9. Let o be -1*5*7\/(-5). Let r be j(o). Give q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84) + (sqrt(84) - (sqrt(84) + (sqrt(84) - -1*sqrt(84))))) + sqrt(84))\/sqrt(4))\/(sqrt(18)\/(sqrt(60)\/sqrt(90))).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43204 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14 = d, d = 3*l - 7 + 21. Let u(w) be the first derivative of 1 + 4\/3*w**3 + 0*w**d + 0*w + 1\/4*w**4. What is the third derivative of u(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/20 and 44\/29237695.\nAnswer: 116950780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/((-10)\/(-195)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1 + sqrt(2299))*-5 + ((sqrt(2299) + -2*sqrt(2299))*1 - sqrt(2299))) + (sqrt(2299) + -1 + 0 - (1 + sqrt(2299) + -3)) + 4)**2.\nAnswer: -1540*sqrt(19) + 112751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 153*a - 1805. Give u(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 276286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -3729*y**2\/2 + 4880*y - 3333. What is the first derivative of q(c) wrt c?\nAnswer: -3729","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41069733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/((d**0*d)\/d))**(2\/61)\/(d*d*(d\/(d**(-3\/7)\/d*d))\/d*d*d**2)**(-44) assuming d is positive.\nAnswer: d**(101936\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/3 + 7*l**2\/2 + 8. What are the prime factors of a(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 + 3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Let s = -7.4 - -6.4. Which is the closest to s? (a) -2\/13 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*c**3*x**2 + 382*c**3 + 13*c**2*x**2 + 4*c*x wrt x.\nAnswer: -196*c**3 + 26*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 6. Let j(b) = 260*b + 221. Calculate -6*j(l) - 221*z(l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/11974653 and 3\/976387.\nAnswer: 2311108029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -1320, -2048, -2776, -3504, -4232?\nAnswer: -4960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 - 147. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.049*7\nAnswer: 0.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110657972 by -96476.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -1792\/13. Let m = 1.198 + -1.1. Let x = m - -0.002. Which is the nearest to 1? (a) x (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21133165 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 + 3*s**4\/4 + 3*s**3\/2 + 5*s**2\/2 + 30*s. Let v be p(-8). Is (3 - (2 + -378))*(-3)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuvohmuouohvuvh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170171 - 202?\nAnswer: -201.829829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(-4 + -1*sqrt(128)*-1))**2 + 2)*-5.\nAnswer: -36020 + 16000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -891 - 50690*s**2 + 101392*s**2 - 50705*s**2.\nAnswer: -3*s**2 - 891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhhhhyhhyyh. Give prob of sequence hhhy.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16.5 (b) 1.95 (c) -1365 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 - 6894\/154. Let f = -516\/11 - q. Let h = f + 131\/35. Is 1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 17 + 38 = 0. Suppose 4*o + 2*n = 24, 2*n - 29 = 2*o - r*o. Solve -5*a - 29 - 8 = 3*c, 0 = -o*c + 4*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 26*j - 19. Let d be o(18). What is the greatest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25306*h**2*i**2 + 534*h**2*i + 2*i**2 + i + 86 wrt i?\nAnswer: 50612*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 46, 198, 420, 712?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126503 is divided by 63233.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 24*v**2 - 21*v - 44. Let o be j(23). Suppose -o*q = -10*s + 11*s - 16726, 4*q = 3*s + 33452. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5820442 is divided by 5820440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**5)**(-3)*f**(-24)*(f\/(f**(-12\/5)\/f)*f)\/f assuming f is positive.\nAnswer: f**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40040 divided by -130\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8353313 (base 9) in base 12?\nAnswer: 15b3356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 33*h**2 + 139*h - 1484. Calculate q(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(15\/8) + (-3)\/5. Sort -1\/4, 0, c in descending order.\nAnswer: c, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/17*((-10404)\/(-2448))\/(2\/(-76))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.91 - -18.94368. Round u to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 4*o + 0 + 0 + 2*o + (-o - o + 0*o)*(1 + 2 - 4) + (0*o + 3*o - 2*o)*(4 - 4 + 2))*(-o + 3*o + o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -4)\/((-1)\/(-2)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/2602 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 642316 divided by -4?\nAnswer: -160579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from halhhaqqlhalqa. What is prob of picking 1 l and 1 a?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -2\/21, 2\/5, -4764, 0.2 in decreasing order.\nAnswer: 29, 2\/5, 0.2, -2\/21, -4764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5*(-1405)\/(-562).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-2)\/d)*d)\/d)**(-42)\/((d**(6\/5)*d)\/(d*d\/d**(2\/11)*d)) assuming d is positive.\nAnswer: d**(-9206\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -9*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 70229270.\nAnswer: -14045854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15183 - -15178. Let n be ((-48)\/14)\/2 + 2. What is the closest to 0 in t, -1, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4673, 18692, 42055, 74762, 116813, 168208, 228947?\nAnswer: 299030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -43, -10.\nAnswer: -43, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 - 784*l**3 - 2351*l**2\/3.\nAnswer: -l**2*(l + 1)*(l + 2351)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 16 - 4)*(3*d**4 - d**4 + 0*d**4) - 2*d**4 - 5*d**4 + 2*d**4 - d**4 - 5*d**4 + 4*d**4 + (-2 + 7 - 3)*(d**4 + 4 - 4) - d - d**4 + d.\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 44*l + 7321 - 6889 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 1267*q**4\/12 - 44*q**3\/3 + 5*q**2\/2 + 1492*q. Find the second derivative of t(r) wrt r.\nAnswer: 2534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 66*k**2 - 9*k - 18. Let l(g) = 15*g**2 - 2*g - 4. Let u(j) = -9*l(j) + 2*v(j). Let m(d) = -2 + 2 + 2*d**2. Determine u(m(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 7, 0, -4 in increasing order.\nAnswer: -5, -4, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009099781 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, -1\/1494?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/10 + 1\/(-5). Does 3 divide (2 - 0)*(-9)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let h(k) = 60*k - 5400. Let o be h(90). Sort -1, o, 5, c in descending order.\nAnswer: 5, c, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcscsccscrsger. What is prob of picking 1 c and 1 g?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/48)\/((-55)\/880)*24\/70.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*z - 5*m, -5*z + 0*m + 3*m = -7. Solve z*i + 3 = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432 (base 5) to base 11.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4273*m**4 - 5*m**3 + 23*m**2 + 124*m - 7.\nAnswer: 102552*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f - 16 = 0. Let k(q) = -q**2 - 2*q - 2. Let t be k(f). Let i = t - -15. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*b = -108. Suppose b*q + 5*c - 51 = 10*q, -q = c - 27. What is the remainder when q is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4181*j + 171443. What is l(-41)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11312023 - 21?\nAnswer: -11312110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15 = 3*r. Let s = -1 - r. Let 2\/3*t**s + 1\/3*t - 2\/3 - 1\/3*t**3 = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*1\/(-4)*-2. Let s be (-2)\/f - (-136)\/357. Which is the nearest to s? (a) -0.4 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*m + 3. Let b = -334 + 329. Let j be (0\/(b + 0))\/m. Solve j = -i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 + 5*z - 3. Let s be h(2). Let p = 940\/19 + -17509\/342. Let l = p - -20\/9. Which is the third smallest value? (a) l (b) 3\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31948920 divided by 3\nAnswer: -10649640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 240*u + 319700.\nAnswer: -5*(u - 278)*(u + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let n(g) = -3*g + 2. Let a(v) = -v. Let x(r) = -2*a(r) + n(r). Determine -5*t(y) - 3*x(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1477 + -1476.56. Is r >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-132)\/(-20) - 12\/20) + -3. Solve 12 = k*d + d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100111101010101 + -1100011?\nAnswer: 1001100111011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 171*x + 2430. Determine j(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177529169?\nAnswer: 3, 392509723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20, -3*t + 0*t = -2*a + 60. Calculate the smallest common multiple of 28 and a.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1000111010010101?\nAnswer: -1000111010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 4*x - x)*(-578253*x + 1156463*x - 578244*x - 20 + (2*x - 3*x + 2*x)*(-1 - 2 + 1) + 1 - 1 - x) in the form z + l*x**2 + w*x and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Let z(r) = 6*r**2 + r - 1. What is the remainder when z(k) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1449363307 + 1449363307 + 500*y - 2*y**3.\nAnswer: -2*y**3 + 500*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffwc when four letters picked without replacement from wcwwwcwcbwfwwwwfbbww?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + -1 + sqrt(112) + sqrt(112) + -3)*-6 - (2 + (-1*sqrt(112) - sqrt(112)) - (sqrt(112)*2 + 3 - sqrt(112)))) + 4)**2 + 2.\nAnswer: -3480*sqrt(7) + 26043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170.5 - 15.5. Let f = 154.99983 - x. Round f to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1704514, -1704297, -1703936, -1703431, -1702782, -1701989, -1701052?\n\"Answer: 72*m**2 + m - 1704587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19 - 2)\/(3\/(1 + -4)). Let n be 14\/119 + 2\/g. Solve -4*r + 4 - 20 = n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (46 - (-64 + 46))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -0.5 (b) -8 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 449892707 and -294.708?\nAnswer: 449893001.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -77268.7 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28199\/84 + -2424\/7. What is the common denominator of r and 136\/(-28)*2\/(-16)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t + 3. Calculate h(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**5\/45 + 7*r**4\/9 - 26*r**3\/27 - 28*r**2 - 72*r - 435. Factor f(o).\nAnswer: -2*(o - 9)**2*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*f**2*j**2 - 4*f**2*j + 2882337*f**2 + 318175*f*j**2 + j**2 - 7*j wrt j?\nAnswer: -76*f**2 + 636350*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 145. Let w(y) = 12*y**2. Determine l(w(b)).\nAnswer: -288*b**4 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 23*b = 467521. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 56*c**3. Let f be d(1). Let p be 45\/(-10)*(-28)\/(-105)*-10. Suppose -4*w - p*w = -112. Calculate the highest common factor of f and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 244*m + 26 wrt m.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m**2 - 43*m**2 + 23*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 976 and 240?\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 + 14*p + 1 - 26*p**2 + 25*p**2. Let u be g(8). What is the highest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 0*c - 855 = 0. Let q(n) = n**2 + 8*n + 7. What is the remainder when c is divided by q(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2052 divided by 6\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*d**3 - 24*d**3 + 980*d**3.\nAnswer: 818*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -14*c + 17*c. Suppose 4*w = 4*y - 4 + 32, 0 = -y - 4*w + 13. Put -2\/9, c, y in increasing order.\nAnswer: c, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 1:24 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)*u**12*(u**(3\/10)*u*u*u)\/u*u*u*(u*u**(-15)*u)\/u)**(-5\/2) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 573 = -2*f. Suppose 71 = -4*s + f. Suppose -s - 32 = -2*y. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 265 - 255. Put 9, -2\/11, m in decreasing order.\nAnswer: m, 9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4 - 772*p**3 + 36040*p**2 - 35264*p = 0.\nAnswer: -232, 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1)*((-1003)\/34)\/(45\/(-4170)). Calculate the greatest common divisor of 139 and a.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.179 + 0.379. Let o be (-1)\/9 + -3 + 473\/99. Which is the nearest to -0.1? (a) 1\/3 (b) f (c) o (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2321*t + 85465 + 7485 - 9394 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3205 + -3109. What is the greatest common divisor of 4176 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-12))\/(21\/351) and -93\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + 10?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 10678*l**2 + 23609056*l - 4422 = 0.\nAnswer: -2211, 1\/5339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*a + 89*a + 2912 = -101*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-3)*((-13851)\/(-798))\/((-6)\/189) is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5529313 tonnes?\nAnswer: 552931.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(1 + 6 - -2). Let b = 249 + -247. Let c be (-1*(7 + -2))\/(-1). Solve -s = -b*p + c*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04215 and 12.\nAnswer: 11.95785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 15. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 126199*i.\nAnswer: -126199*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Is -4 + (1*1740)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(4*f + 3*f - 5*f) - 3*f + 3*f - 2*f + 316*f - 9 + 322*f - 643*f.\nAnswer: -11*f - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00210657 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25.6563mg?\nAnswer: 0.0256563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6)*-10*(15 - 12). Let g = -31 + 37. Suppose 5*s = 3*f - 1 + g, -5*s = f - m. Let x(i) = -2*i - 1. Let y(z) = -z + 1. What is s*x(v) - y(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2059*q**2 + 453*q - 453*q.\nAnswer: 2059*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*j + 53564 = -2172*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*a. Suppose -a = 3*n - 169. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238 - -383. Let j = v + -139. Suppose 3*y = 20 - 8. Calculate the highest common divisor of y and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14440 + -121424?\nAnswer: -101434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 101716, 203431, 305146, 406861, 508576, 610291?\n\"Answer: 101715*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12745 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12615 + -12599. Solve 14*v = -5*l + h*v + 1, 2*l - 4 = -v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = 58. Let o = 18 - u. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1568*s**3\/5 + 18390064*s**2\/5 - 2364534*s + 1900098\/5.\nAnswer: 2*(s + 11729)*(28*s - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1334655 or -1334350?\nAnswer: -1334350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 393858082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 14) in base 16?\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 104 = 3*b, 0 = b + q - 5 - 39. Let x be 10*((-3)\/(-6) - 0). Suppose -x*v + 0*v = -b. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let b(x) = -68 + 68 - 3*x**2. Calculate a(b(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -2*q - 63. What are the prime factors of 33606\/42 + (-1)\/q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03732 - -844.\nAnswer: 843.96268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/3 (c) -5 (d) 5 (e) -0.2 (f) 0.745\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/39, -5, 1, 265?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-70)*1804\/(-17589)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715577?\nAnswer: 3, 193, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 37*r = -58 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*m + 1554 = 6*m, -2*q - m = -1556. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*y**6 - y**4 + 42*y**2 - 10*y?\nAnswer: -7920*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d + 75 = -99 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 7*y**2 - 2*y**2 + 3*y**2. Let h(q) be the second derivative of -7*q**3\/6 + q. Give h(p(k)).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 4*n**2 + 11. Let o be v(3). Solve 4 = -2*w - o*s, -10 = 3*w + w + 3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -461, -449, -433, -407?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*c + 0*c = -14, 3*c = 5*g + 4. Let n be 2\/(-2)*(-5)\/g. Solve n*r = -10 - 5, 0 = 2*v + r + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + a. Let s(b) = -1009*b**3 + 5125*b**2 + 6*b. Let k(o) = -6*l(o) + s(o). What is the third derivative of k(c) wrt c?\nAnswer: -6054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54811 + 109606 - 98*g**2 - 54812.\nAnswer: -98*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from {p: 5, m: 5, x: 1, o: 3, i: 5}?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -791.8 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 11*t**2 - 11*t + 4. Give q(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:06 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-13)\/(c\/(c*c**(3\/23)*c)) assuming c is positive.\nAnswer: c**(-273\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 876*z**5 + 84*z**4 + 642347*z.\nAnswer: 17520*z**3 + 1008*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(112) + -1 + -4 + -5))**2.\nAnswer: -2880*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r + 32. Let j be d(4). Let u be 3\/2*(-17)\/(561\/j). Solve 4*s = 8*s - 4*k + 8, 4*s - u*k + 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1911\/234)\/(-49)*-114?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37787 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 4*i + 9957*i**3 - 4976*i**3 - 4940*i**3 as y + o*i + j*i**3 + r*i**2 and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1292.9995612 - -1293. Round l to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 21366841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -4\/3 (c) -260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((-84)\/(-105) - (-39)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -a. Let n(k) = 3*k**2 - 5*k + 1. Let u be n(a). Solve -4*y + s + 2*s = -u, -4 = 2*y + 4*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6589010, -6589014, -6589018, -6589022?\nAnswer: -6589026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 123 = 4*v - 0*q, 0 = -4*v - 3*q - 111. Let d be 1\/3 - 170\/v. Let o be 0\/(-2) - 8\/(-2). Solve -18 = o*b - d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-294)*(-22)\/(-4)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 20. Let k = 273 - 176. Suppose -2*o - k = -3*o. Calculate the remainder when o is divided by i(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*1*2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -655.154776 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 3)*(93*a + 20*a + 82*a) in the form u + m*a and give m.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 656*z**3 + 648*z**3 - 1602*z**3 + 529*z**3 to the form p + w*z + u*z**3 + c*z**2 and give u.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1*(-98)\/56*30\/(-210)*-19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -2952?\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 37 + 8*g - 73 - 6*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w + 5*w - 945. Is (-5)\/w - 123348\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-5)\/((-6)\/1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 0 - (-4071)\/345) + -5. What is the second smallest value in -4.3, 3, -3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*3\/(-288)*-3. Put 3, -4, s, 0.5 in increasing order.\nAnswer: -4, s, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00108097407 rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-784)\/(-21) + (-14)\/6 + 3. Let x = b + -13. Solve 12*z + x = 17*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5492 + -5218. Solve -10 = 88*f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 18 = 0. Let w be (75\/(-45))\/(2\/6 + 0). Is 3745\/(-14)*g\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 + 6 + -20 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -52*w**2 + 6*w - 5. Let l be v(1). Let h = -47 - l. Let z(b) = b**2 - 5*b + 4. Give z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s**5 + 116*s**4 - 58*s**3 - 116*s**2 + 48*s = 0.\nAnswer: -12, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -6*w + 2*w + 25, -4*w = -3*y - 5. Determine t so that 2*t**4 - 3*t + 5*t**y - 50*t**2 + 12*t**4 - 2*t + 6*t**4 + 30 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1996217ng in tonnes?\nAnswer: 0.0000000000000001996217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.158 + 3.842. Which is the nearest to v? (a) -0.3 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 699*n**2 - 2457*n**2 - 2359*n**2 - 2912*n**2 as u + v*n + j*n**2 and give j.\nAnswer: -7029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27922, 55812, 83702, 111592?\n\"Answer: 27890*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3 = -2*g - 6*q + 10, 3*g - 50 = -4*g - 5*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-19\/2)*(u\/(u**14\/u)*u)\/u*u*u)\/(u**(-12)\/u**(-1\/3)) assuming u is positive.\nAnswer: u**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 101, 183, 285, 407?\n\"Answer: 10*u**2 + 32*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 954\/24 + (2 - -1)\/12. Suppose t = r - 105. What are the prime factors of r?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*h**2 - 56*h + 56*h)*(-3 + 2 - 1).\nAnswer: 58*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*u**3 - 7*l**2*u + 18*l*u + 15217*l - 12163860*u**5 wrt u.\nAnswer: 6*l**2*u - 243277200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i + 3. Let m be h(0). Suppose -4*k + m*q + 51 = 0, -2*q = 3*k + 2*q - 32. Let a = 22 - k. What is the remainder when 29 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1485 and 7515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 24*n - 66*n + 17*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -1 - ((-46 - 30) + 33)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39152 and 63622.\nAnswer: 508976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:24 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000111937 to 6 dps.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129.14 - -0.06.\nAnswer: -129.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 20)*(0 - 1 + 2)*(5 - 6*s - 5) in the form w + l*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257774?\nAnswer: 2, 3, 7, 29947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from evreyevvrjevry.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - 0.1. Let w = z + -4.02. Let r = -10 - -12. Which is the nearest to 0? (a) 3 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 4*z - 25, 3*k - 8 = 2*z - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -18*d - 13. Let j = -196 + 195. What is the remainder when 49 is divided by c(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 + 2*v**3 - 2*v**3)*(1 + 0 + 3)*(2 - 18 + 4)*(v + 4*v - 3*v) + 10*v**4 + 6*v - 6*v in the form y*v + z*v**3 + d*v**4 + x*v**2 + m and give d.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059.63 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 15. Let o be n(-11). Suppose -1493 = -o*k + 855. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 27696616*m.\nAnswer: 4*m*(m - 6924154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*sqrt(2057) + sqrt(2057)) + -4)*2)**2 + (-4 + sqrt(2057) + -1 + 0)*1.\nAnswer: 11*sqrt(17) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 3. Let o(c) = -12*c + 46. Let a be o(4). Give z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19997 is divided by 2856.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/6099 and -23\/1177?\nAnswer: 67089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 5308, 1291 in decreasing order.\nAnswer: 5308, 1291, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + x - 15, -2 + 5 = 3*a - 2*x. Suppose -2*n - 8 = -5*r + 7, -a*n = -r - 10. Find the second derivative of 6*p - p**r - p + p + 5*p**5 wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7172303 (base 9) in base 10?\nAnswer: 3826767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68646, 68643, 68638, 68631, 68622, 68611, 68598?\nAnswer: 68583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7042 - -0.4.\nAnswer: -0.3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/2 or 0.00612742?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414076528?\nAnswer: 2, 211, 122653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 545\/24 - 68\/3. Let m(d) be the third derivative of 0 + 0*d**3 + a*d**4 + 0*d**5 - 4*d**2 + 1\/20*d**6 + 0*d. What is the second derivative of m(k) wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-34131)\/279)\/((-1)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, 81 in descending order.\nAnswer: 81, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/3886 or 1?\nAnswer: -53\/3886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -0*t + 16*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*w**5 + 2*w**4 - 164*w**2?\nAnswer: 540*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39940169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m - 74. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -802*d**2 + 686*d**2 - 624*d**2 - 2 in the form q*d + o*d**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) - 14\/10. Let d = 153.14 + -152.64. Put k, d, -24 in decreasing order.\nAnswer: k, d, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4264 and -4.\nAnswer: 17056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.95 - -0.85. What is the nearest to a in 0.4, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 250 - -42?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(24\/572)\/(580\/(-3190))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8093110 is divided by 90931.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49446929 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2828 and 4158776.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*f - 5, 2*f + 2*u - 6*u = -10. Suppose y + 1 = 5. Let v be (-1)\/2 + 14\/y. Solve 0 = 2*z - 4*k, -3*z + v = -4*z + f*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3708744 is divided by 1236246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11004, -88073, -297272, -704667, -1376324?\nAnswer: -2378309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -7, 0.21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110771155*d**3*u**3*y + 4*d**3*u**2*y + 457*d**3 + 8273*d**2*u**2*y wrt u?\nAnswer: -664626930*d**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8697449 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/3)*(-30)\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -27*q + 1175. Let x(n) = -39*n + 1763. Let u(o) = -7*l(o) + 5*x(o). What is the units digit of u(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 138 = 5*n, 62960*n + 5*s - 384 = 62946*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12*m + 974. Let y be w(81). Let q = 8 - 3. What is the third derivative of 12*x**2 + y*x**q - 104 + 104 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(-469*c**5 + 81643*c - 81643*c).\nAnswer: 1407*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 274 + -122. Suppose 5*c + 20 = 0, 0*c = 4*z + c - x. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 + -405)*1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -39436*y - 1. Let l(f) = -f**2. What is v(l(w))?\nAnswer: 39436*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.69 - 17.8. Round l to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -72 + 67 + (3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*w + 481 + 659 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 485840.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14245, 57029, 128337, 228169, 356525, 513405, 698809?\n\"Answer: 14262*o**2 - 2*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -18*h + 15. Let w be m(-5). Let g be ((-20)\/w)\/(2\/(-5529)). Let q = g - 524. What is the common denominator of -101\/6 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 91 + 43 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 + 195. Suppose -28 = -0*d + 4*d. Sort q, -4, d in decreasing order.\nAnswer: q, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4879629 and -53\/306?\nAnswer: 9759258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/401109 and 137\/1116.\nAnswer: 4813308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*l - 17, -9 = -0*l - l - 3*b. Suppose 0 = -l*o - 3*i + 36, 8*o = 3*o + 4*i + 42. What is the remainder when 79 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-438)\/(-44) - 3445\/(-75790)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (556 - 66\/3)*(-2)\/3. Which is the third smallest value? (a) 5 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177441 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 188.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.175466 to 2 dps.\nAnswer: -3.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49053 and 4233?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and (4\/(-12))\/((28\/(-792))\/7).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84291 is divided by 37199.\nAnswer: 9893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = f - 0*f - 5, 3*f - g = 31. Let o = f - 5. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {m: 3, q: 5, l: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*n + 7 - n + 0 - 6)*(-3 + 8 - 1) as f + l*n and give l.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**3 + 2*g**2 - 1. Let d be p(2). Let h = 142 + d. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 9 = -2*y + 4*y, 4*y - k = -9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -357813 divided by 6?\nAnswer: -119271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1250199, -1250203, -1250207, -1250211?\n\"Answer: -4*i - 1250195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -1\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from yyhhhfmywmh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*m - 218*m - 553 = 0. Solve -2*l - 3 = j, -2*j + 1 = -3*l - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4. Let j(k) = -k**2 - k + 21. Suppose 0*w = -2*w + 8. Let m = 42 - 30. Suppose c = -3*c - 5*l + 3, m = w*c - 4*l. What is c*j(n) + 11*q(n)?\nAnswer: -2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - c - 6 + 9 to w + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*s**2 + 8*s + 33?\nAnswer: 28*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4096231 to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -0*q. Let z(k) = 5*k - 1. Let n = 30656 - 30659. Let i(v) = 6*v - 2. What is n*i(s) + q*z(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15527, 31038, 46545, 62048, 77547, 93042, 108533?\n\"Answer: -2*v**2 + 15517*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36627 and 0.2543.\nAnswer: -36626.7457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*o**2 + 221*k**2*u + 14*k*o**2*u - 2*k*o*u - k wrt k?\nAnswer: 4*o**2 + 442*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 - 4*g. Let b(m) be the second derivative of m**3\/3 - 9*m. Determine b(w(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 - -8) + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + -11 - (1 + -17)) + (-6 + 2 - -16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2998314 and 198.\nAnswer: 2998314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21. Let o(u) = 47. Let x(s) = 9*n(s) + 4*o(s). Let v(b) = -b - 6. Let w(k) = -k**2 + 2*k + 4. Let h be w(3). Let m(l) = h*v(l) - 2*x(l). Give m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31314 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -8\/7 (c) 0.03845 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 3.27?\nAnswer: 98.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {d: 1, x: 2, k: 1, m: 2, h: 1, t: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 10*z + 5*v + 10, 5*z = -v - 24. Sort 4, -3, z, 3 in decreasing order.\nAnswer: 4, 3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggsgsgggsggggggg. Give prob of sequence ssgg.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -74733340 divided by -2?\nAnswer: 37366670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2086 divided by 54.\nAnswer: -1043\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 5 - 95)*(-5*f + 4*f - 3*f + 7).\nAnswer: 212*f - 371","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2 + 3 = 0. Suppose 2*i = 5*i - 60. What is the common denominator of -19\/6 and n\/2*(-186)\/i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**5 + 4*r**4 + 6*r + 3*r**5 - 4*r**4 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 35\/15 - (-54)\/(-9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:17 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3516?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 15. Let y = p + 12. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3853879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10775 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7*f - 3*f - 24 = 0, -54 = 3*d - 3*f. Let k be ((-1)\/(-30))\/(60\/d + 8). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**5 + y**3 - y**2 + 1. Let v(r) = 881*r**5 - 3*r**3 + 508*r**2 - 3. Let s(u) = 3*b(u) + v(u). Find the third derivative of s(c) wrt c.\nAnswer: 52680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2400, 2401, 2402, 2403, 2404?\n\"Answer: g + 2399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i**2 + 3*i)*(0*i**2 - 3*i**2 + 2*i**2) + 29*i**4 - 18*i + 22*i + 40*i**4.\nAnswer: 68*i**4 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1508 + 1 + 9\/(-3). Suppose -g - v = -3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-12)\/(-15))*(-230)\/(-92). Find v, given that -1\/2*v + 1\/2*v**c - 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 885.261 + -18.961. What is x rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 4:54 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30020)\/(-456) + -66)\/(1 + 10\/(-9)). Factor 0 + r*u - 1\/4*u**2.\nAnswer: -u*(u - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-15 - -19) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5925 = 3*l - u + 5982, -l - l + 37*u = -71 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/7 + -3 + 1. What is the closest to -8 in -0.5, b, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 13) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 409 - 426 - (1 - 21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/100 and -63\/379075?\nAnswer: 1516300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 39*f - 57*f - 3*f + 2*f + 0*f - 4*f + 4*f - 2*f + (3*f + f - 5*f)*(0 + 0 + 1).\nAnswer: -97*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 2*(-6)\/10*(2 + (-19)\/2)?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -101. Let l be -1*1*(-6)\/2. Suppose 0 = -l*j - 0*j. Solve -18 = -0*i - 4*i - 5*y, j = -d*i - 5*y + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 13*v. Solve v = 6*m - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1517*g**3*k**2 - 6*g**3*k*q - 2*g**2*q + 24838*g*k**2*q - 2*g*q wrt g?\nAnswer: -9102*g*k**2 - 36*g*k*q - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 45 = -8*s. What is the third derivative of -12*a**s - 11582 - 8*a**2 + 11582 wrt a?\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281420 is divided by 2385?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.111?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**2 + 31*q - 19. Let w(t) = 8*t**2 - 29*t + 21. Let p(d) = 4*b(d) + 5*w(d). What are the prime factors of p(16)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3538 - 3538 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8497 - 2959. Let j = -2615 + x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -83. Let j be 2*(m\/(-2) - -5). Let p = 0.02 - 5.02. What is the fourth smallest value in 1, 3, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-3)\/2 + 162\/(-108). Let f = 0 - 0. Put f, l, 2, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -37 - (1 - -10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.45?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:26 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 659 + -385. Let o be -57 + (-8)\/(-6)*3. Let u = s + o. List the prime factors of u.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.37903 to one decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 17*x + 9. Calculate the remainder when 24 is divided by n(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:48 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = 7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 - 3) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 - 271465*k - 11138470 = 0.\nAnswer: -41, 54334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 63*m - 835, 727*c + m = 725*c + 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 543, 578?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -1.02. Let b = z + 0. What is the second smallest value in 2, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/(-25))\/7)\/((-2938)\/(-2825))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -11. Let v = f + 5. What are the prime factors of (v\/3)\/(1\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 22 = 70. Solve o = -7 + g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 257*f**2 + 6*f + 2 + 255*f**2.\nAnswer: -2*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66577961 rounded to the nearest 10000?\nAnswer: 66580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -42. Let b(h) = -h**3 + 3*h**2 + 2*h + 5. Let z be b(0). Calculate the greatest common divisor of t and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.081 in 0.1, 2.7, -285, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972950187.\nAnswer: 13, 79, 229, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2795 - 0.4795. Which is the closest to v? (a) -4 (b) -3\/7 (c) -5 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s - 3. Let i(h) = 200*h - 85. Let k(r) = -6*i(r) + 170*p(r). Let u(o) be the second derivative of -o**4\/6 - o. Calculate u(k(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3*n. Calculate a(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(33)\/(-1*sqrt(3)) + (sqrt(11) - (sqrt(11) + 1 + sqrt(176)))**2).\nAnswer: 28*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 236879416 and 322724.\nAnswer: 236879416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62508 by -6.\nAnswer: -10418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let r(p) = -53*p - 8. Determine r(s(c)).\nAnswer: -53*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 50 = 12*w + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1358 + 2546. Let l = -807 + n. What are the prime factors of l?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 + 832. Which is smaller: 1143 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -809, -331, 137, 589, 1019, 1421, 1789, 2117?\nAnswer: 2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*i - 2*q - 20, q + 2 = 0. What is the units digit of 27\/6*(-4)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:26 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 10) in base 4?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 291*(56\/(-72) - (-2)\/(-9)). Let c be (2 - f\/(-6))\/(18\/(-48)). Let l = 7024 - c. What is l rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-4) - 33\/(-44). What is the smallest value in 0, 0.19, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/409 - -71\/13088. What is the second smallest value in 1\/6, h, 8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 - 8 - 1 - 7*u - 1. Let k be ((-14)\/56*6)\/(6\/16). Let b be x(k). What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Suppose -u - 3*h = -2*h + w, -3*h - 9 = 0. Let k(x) = -5*x + x**2 + u*x + 2*x. Give k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 + 224302*o**2\/9 - 49844*o.\nAnswer: -2*o*(o - 112149)*(o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 182773957 from 52.\nAnswer: -182773905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56 * 494079\nAnswer: 27668424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 183\/45 - (4 + -3). Let x = 4\/15 - l. Factor -2\/5 - 4\/5*c**2 + x*c**3 + c.\nAnswer: (c - 2)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -3*s. Let l = 2.6 + -0.6. Let x = 0 - l. What is the closest to s in -0.3, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaauuua. Give prob of sequence aa.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 5*c - 10. Let w(n) = 9*n. Determine w(v(b)).\nAnswer: 18*b**2 + 45*b - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 36 = 7*n. Let s(a) = 32*a - 18*a - n*a. Let t(m) = -10*m**2. Calculate t(s(p)).\nAnswer: -160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1377*r**3 + 404*r**2 + 4061386 wrt r.\nAnswer: -4131*r**2 + 808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 23. Suppose 0*f - 4*f + g = -47, -f = 2*g - u. Suppose 37 + 223 = 5*x. Calculate the greatest common factor of f and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7935.2 - 7935. Let d = -0.04 - -0.34. Let x = 0.7 + d. What is the nearest to -4\/7 in 3\/4, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 13*h + 4. Calculate p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5544072 to the nearest integer?\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 730.7 - 730.74003. Round c to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*p + 812 = 512. Find k, given that -1\/2*k**5 + 1\/2*k**2 - 1\/2*k**4 + 0*k + 1\/2*k**p + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 32 = -6*d. Suppose 2*c = -3*n + 1, n = -c - n + 2. Does 14 divide (d\/(-5))\/c*(5 - 120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**2 + 19*f**2 - 6 - 40*f**2 - 8*f**3. Let b(h) = -7*h**3 - 2*h**2 - 5. Let c be 6\/(-8) + ((-4600)\/32)\/(-25). Calculate c*b(v) - 4*j(v).\nAnswer: -3*v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -118, -0.04718, -4?\nAnswer: -0.04718","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105603 and 15.\nAnswer: 528015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**3 - o + 229 + 164 - 271 as u*o + l + q*o**3 + t*o**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/92 and -37\/172?\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00121132 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 84344\/3244*6\/(-3)*(-1)\/(-2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/277, -397, 2, -3 in decreasing order.\nAnswer: 2, -2\/277, -3, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7192 = 207*x - 27271. Suppose -2*w + 1 = -17. Calculate the remainder when x is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.45 to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - c**5 - c**5 + (0*c**3 - 3*c**3 + 2*c**3)*(30*c**2 - 46*c**2 - 37*c**2) + (-2*c**2 + 4*c**2 - 4*c**2)*(0*c**3 + 5*c**3 + 3*c**3).\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 485625081 + 0.1.\nAnswer: 485625081.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a**3*o**3 - a**3*o**2 - a**2*o**3 - 131*a**2*o**2 wrt a.\nAnswer: 96*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mbmyg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + (3 - 2) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 111*n + 332. Determine i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 382033 = 9*o. Let d = 834031 - o. Suppose 5*f + t = -1130001, -2*t + d = -4*f + 2*f. Round f to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 5*x + 20. Let n be p(10). What is the highest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232187 is divided by 80.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -511*a*t**2 - 12*a*t + 798088*a + 46*t**2 - 2*t + 1 with respect to t.\nAnswer: -1022*a*t - 12*a + 92*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7568 and 675004?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11913 and 4389.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/((k\/k**0)\/k)*k*k)\/k))\/k**7)**34 assuming k is positive.\nAnswer: k**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g = 9. Which is the second biggest value? (a) g (b) 1\/6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 66 + 180 - 82*r + 94. Does 59 divide i(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787658 = 180*q - 1458562. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739\/50 at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*k, -4*k - 32 = 2*o - 8*k. Let u(f) = -2*f**3 - 4*f**2 + 4*f + 15. What is u(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/12)*k**(1\/5))\/((k*(k\/(k**1*k)*k*k)\/k)\/k)**41 assuming k is positive.\nAnswer: k**(7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, 207, 3, 9 in decreasing order.\nAnswer: 207, 9, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d**2 + 6. Let t(b) = 459*b**2 - 119. Calculate -119*s(i) - 6*t(i).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + g + 1. What is b(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 472971 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 124b - 4?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-275)\/(-30)) - (-2 + 0). Let x = -75\/44 + l. Sort x, 2, 3\/4 in ascending order.\nAnswer: x, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 11. Calculate the remainder when (-852)\/(-54) + 2\/9 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 488, 730, 970, 1208?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440b (base 13) to base 10.\nAnswer: 9475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4849 = n + x, -28 = -4*x. List the prime factors of n.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13246221, 13246024, 13245825, 13245624, 13245421?\nAnswer: 13245216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302889 rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 60 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**2*k**2*l - 22*c**2*k**2 - c**2*k*l - c**2 + 96*k*l wrt k.\nAnswer: 12*c**2*l - 44*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-12))\/(66\/(-99))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 3*t + 3*t. Let w(j) be the first derivative of 2*j**2 - 1804. Give w(p(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let g be h(1). Suppose -11*w + 227 + 356 = 0. Is g + w + 4\/(-6)*-3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 67?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 43*i - 554. Suppose -30*b + 3*s + 47 = -25*b, -5*s + 4 = -2*b. Calculate q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 1. Let d be h(-1). Is d < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 144, 227, 322, 429, 548, 679?\n\"Answer: 6*z**2 + 53*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15254162*b**2*g**3 + b**2*g**2 - 452*b**2*g - b**2 + b*g**2 - 405*b*g wrt g?\nAnswer: 91524972*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {l: 1, x: 1, s: 3, b: 3, e: 1, y: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, 30, 161, 336?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/30 - 12*p**2. Let a(h) = 12*h**2. What is b(a(d))?\nAnswer: 288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -118 (c) 0.1 (d) -5\/6 (e) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 132\/(-165) - 27\/(-40) - 772\/(-32). Solve 47*x = 53*x + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20*z**2 - 2*z - 14. Let n(d) = d**2 + d - 1. Let t(u) = 36*n(u) + 2*p(u). Find r such that t(r) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 - 274. Let i be y + (-536)\/(-88) + -6. Let z = 3.7 - 0.7. Which is the third biggest value? (a) i (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -41?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18705 and 519999.\nAnswer: 2599995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16*a**2 + 78*a - 2738. Let v be q(39). What is the greatest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/399 and -58\/399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 8:46 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 181 + 12?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/7977 and -31\/81.\nAnswer: 215379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1329*c**4*q*t + c**4*q + 1998*c*q + 2*q*t + 2*t wrt c.\nAnswer: 15948*c**2*q*t + 12*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308.5*-1.37977.\nAnswer: 425.659045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 2*t**2 - 4*t - 1. Suppose -m + 10 = -3*m, 0 = -5*q + 3*m. What is the remainder when z(q) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18507?\nAnswer: 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, q: 1, y: 2}. Give prob of sequence yqyw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/15 + k**4\/3 + 4*k**2. Find the second derivative of o(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.07 + -0.07. Let u = w - 37. Let b = u - -23.000017. Round b to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -0.4 (c) 4\/33 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 9*p**2 + p**2 - p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5654017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115280 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**3\/6 - j**2 - j - 3. Let r(o) be the first derivative of z(o). Suppose 0 = 3*l + l. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(36))\/sqrt(2))\/(sqrt(63)\/((sqrt(7) + sqrt(7) + sqrt(14)\/sqrt(2) - sqrt(7)) + sqrt(7)) - sqrt(9)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.4, -13, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 0.2, 0, -13\/3, -3, -2\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5873a5 (base 11) to base 8.\nAnswer: -3434522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7974 divided by 886\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 710, 765, 822, 881, 942, 1005, 1070?\n\"Answer: n**2 + 52*n + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -45*c**2 + 3*c + 2. Let k be l(3). Let q be k\/(-2) + 3 - 0. Suppose 2*j + 5*w - q = -0*w, 3*j - 291 = -3*w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 7*z**5 + 2*z**5 + (0*z**4 - 3*z**4 + 4*z**4)*(-23*z - 3*z - 5*z).\nAnswer: -27*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3160 = -512*w - 9128 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/124 and 23\/1550.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1903411\/6 + 318122. Let t = -887 + c. Let b = 3.3 + -3. Sort -3, t, 0.2, b in increasing order.\nAnswer: -3, t, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + 3 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066475238.\nAnswer: 2, 3, 7, 367, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.32 * 4193.3\nAnswer: -5535.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -0.5. Which is the second biggest value? (a) i (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 12 - 4)*(-3*z + 3*z - 3*z) - z - 1 - 4 + 7 as u + m*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/(i\/(i**(-3\/5)\/i)))\/(i\/i**0)**(-30) assuming i is positive.\nAnswer: i**(279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y. Let k(a) be the third derivative of -2*a**2 + 0*a + y + 0*a**3 - 1\/60*a**6 + 0*a**4 + 1\/30*a**5. Let k(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a + 6. Let i be (-20)\/2*(-1 + (-1)\/(-2)). Let y(x) = -2*x - 1. Let j(u) = i*y(u) + p(u). Let z(b) = 4*b. Calculate 2*j(m) + z(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 31 - 6 = 0. Let n = 124\/5 - j. Which is the third biggest value? (a) -2\/5 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1713, 1733, 1753?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 0, -465 = -c + 11*z - 9*z. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5*z = 155. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.5. Let n = 0.1 - 1.1. What is the second smallest value in n, z, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, -44.\nAnswer: -44, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 13*l - 15. Let j be b(-15). Suppose 5*k - 20 = 2*t, 4*k + 6*t - 2*t - 16 = 0. Solve -k*i = q, 5*i = -7*q + 2*q - j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65849 + -65836. Suppose -4*l - l + 10 = 0. Calculate the lowest common multiple of p and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811982?\nAnswer: 2, 405991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70*((-3)\/4)\/((-1890)\/(-720))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3512349571.\nAnswer: 3512349571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 73*-7683\nAnswer: -560859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhaaabbhabahhssash?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105, -431, -975, -1737, -2717, -3915?\n\"Answer: -109*m**2 + m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40250508 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 26 + 27)*((-2*t**2 + 0*t**2 + 0*t**2)*(0*t**2 - 2*t**2 + 4*t**2) + 54*t**4 + 152*t**4 - 132*t**4).\nAnswer: 3570*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.606 rounded to one dp?\nAnswer: -54.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 18*p**4 + p**3\/3 + 2*p**2 + 2*p + 30. Let t be f(-1). Is 22 a factor of 1\/(4\/(-1) + (-293)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97\/29 - -3147\/464. Find the common denominator of (28\/30)\/((-4)\/(-5)) and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 55 - 9 + 29 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:40 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 3*r + 2. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*m**3 + 11 - 11.\nAnswer: -270*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61117 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 962717 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.58 - -9.4. Which is smaller: o or 3.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = -29. Suppose 5*c = 5*t + 35, 7*c = m*c + t + 10. Suppose -h = -c*l + 3794, -4*h = -3*l + 7833 + 7361. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 232\/36 + -3*12\/81?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = -20. Let y(u) = 2*u**2 - 6*u - 7. List the prime factors of y(s).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 4*v + 5*v + 0*v**3 - 7 + 6.\nAnswer: -2*v**3 + 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**2 + 6*c - 5. Let l be x(-5). Suppose 0*b - 3*b = 2*o + 14, -2*b = 3*o + 11. Sort 3, o, l in descending order.\nAnswer: 3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43604636 (base 8) in base 4?\nAnswer: -203300212132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**17\/((l\/(l*l\/(l\/l**(-5))))\/l**(2\/21)) assuming l is positive.\nAnswer: l**(254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*j + 106*j + 160 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 99 = -83. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 100, -5 in descending order.\nAnswer: 100, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16365 is divided by 5454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -15*j**2 + 6*j. Let x(s) = 8*s**2 - 3*s. Determine 3*c(z) + 5*x(z).\nAnswer: -5*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2942 (base 11) to base 15.\nAnswer: 11d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*1\/18)\/(1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*m + 23*m + 1575. List the prime factors of m.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o. Suppose i - 5*i - 4*x = -20, -9 = -3*x. Sort i, 2\/7, o in descending order.\nAnswer: i, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/70)\/(-54*(-3)\/4320)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365.5281ml to litres.\nAnswer: 0.3655281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10923 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110101101000101 (base 2) to base 5.\nAnswer: 22110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-1*-2*sqrt(9)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240*i**4 - 531 - 2*i**3 + 51*i**4 - 121*i**4 - 108 wrt i.\nAnswer: 680*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117009?\nAnswer: 1117009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c)*((114 - 56 - 82)*(-2 + 4 + 0) - 4 - 7 + 1).\nAnswer: -58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1031.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 36 = 3*l - 5*s, -4*s + 69 = 3*l. Suppose 22*d - l*d = 5*c + 30, 27 = d + 4*c. What is the least common multiple of d and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(468) + sqrt(52))**2)*4*5.\nAnswer: 16600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 30 = m. Let d(a) = -5*a**2 + m*a**2 + 3*a**2. Let s(z) = -2*z**2. Give s(d(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01707041 to 4 decimal places.\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238145003*s**3 + 1077678194*s?\nAnswer: -1428870018*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**2 + f - 1. Let n be a(2). Let z = n - 35. Solve -4\/3 + 2\/3*x + 2\/3*x**z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 4*y**2 - 3*y + 4. Let r(u) = -u**3 - 9*u**2 - 5. Let k(v) = -3*v**3 - 26*v**2 + v - 15. Let f(j) = -4*k(j) + 11*r(j). Give 5*c(w) - 4*f(w).\nAnswer: w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + 31. Let h = -737\/7 + f. What is the smallest value in h, -0.2, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.4 (b) -13 (c) 0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -861 in 3\/2, 0.1, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296855 divided by 5?\nAnswer: -259371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -397002*l. Let j(b) = 18*b. Calculate u(j(z)).\nAnswer: -7146036*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 335613662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 7 - (-11)\/(-33)*-7089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 188*x**2 + 27*x - 106. Is h(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -44*b - 27. List the prime factors of a(-10).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 61. Is 1478\/(2 + d) + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 0. What is the smallest common multiple of (-8)\/6*-3*(-32)\/(-128) and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369558620*n**6 + 237075717*n**2?\nAnswer: 44347034400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5302*r**2 - 10592*r**2 + 5287*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1785 - 1786. Let p(q) = -q**3 - q. Let u(c) = 6*c**3 - 3*c**2 + 5*c. Calculate o*u(t) - 4*p(t).\nAnswer: -2*t**3 + 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 15*r**2 + 18*r - 21. Let a = 8 + -4. Suppose 5*c - 6*m - 82 = -a*m, -3*c + 47 = m. What is the tens digit of f(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 636165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.21722298 - -6.4939298. Let f = 14.22329469 + i. Let g = f - 13.5. Round g to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 288059616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-216)*276 - (-11 + 31)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 5. Let w(g) = 1. Suppose 39*b + 210 = 41*b. Suppose b*m = 106*m + 2. Calculate m*w(j) + u(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 - 12776561*a - 51106260 = 0?\nAnswer: -4, 12776565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23509*t**2 - 33*t + 11. Let m(v) = -50266944*v**2 - 70560*v + 23520. Give -23520*i(g) + 11*m(g).\nAnswer: -4704*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8951*b**2 - 1485616186*b + 1485616186*b.\nAnswer: -8951*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 less than 0.1?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7497110 is divided by 37114.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9648 + -9653. Let h(l) be the first derivative of l**3\/6 + 3*l**2 + 5*l + 3. Let k(s) be the first derivative of h(s). Give k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33024220304 - -10?\nAnswer: 33024220314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-63)*7)\/(1 - 3). Suppose 4*q + 37 = -5*a - 67, s*a = 2*q + 52. Sort q, -4, 2 in ascending order.\nAnswer: q, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/5732 and -25\/4.\nAnswer: 5732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 6*r**2. Let a be x(7). Let l be (a\/356)\/(45\/4359). Let c = 1\/1780 + l. Find the common denominator of c and 19\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -18. Let z = q - -3.9. Let i = z + 0.7. Is -1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*a - 12883 = 72*a + 11695 - 8144 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -3.6 (b) 4 (c) -1.9 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1887 and ((-20)\/5)\/((5 - 847\/91) + 3).\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhoh when four letters picked without replacement from xrxxhohhoxrh?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:37 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3157, 6312, 9467?\n\"Answer: 3155*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-312 - -224) + (-1 - (5 - 10 - -20))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -203 - 261. What is the tens digit of b\/8 - (-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feieffeeefiiefeei. Give prob of sequence iiee.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27213 (base 8) to base 15\nAnswer: -37e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -492, -5 in descending order.\nAnswer: -5, -22, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/12)\/((-1)\/12). Let d = -6 + q. Solve f = -d + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.77 + -1.57. What is the second biggest value in a, -3, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b, 5*b = 2*g - 96. Suppose 3174 = 2*i + 4*u, -6*i = -11*i + 3*u + 7948. Suppose -22*p = -i + 5. Calculate the greatest common factor of p and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*r + 18, 2*r + 0 = -2*q + 4. Let y be 162\/(-10) + q\/(-10). Let j be (y\/20)\/((-1)\/5). Solve b - j*b = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4529040100 to the nearest 1000000.\nAnswer: -4529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-64)\/54)\/((-78)\/(-18) - -11) and -50?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose h = -0*p + 3*p. Find the second derivative of 0*b**5 - b**5 - 3*b + p*b + b wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/4 + 5*c**3\/3 + 19*c**2\/2 + 23. Let m be w(9). Is 17 a factor of m\/1*(32\/(-12) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 5 + -4 + (-1 - -16) - 20\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4199958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, n: 1}. Give prob of picking 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 30*f - 54*f + 31*f + 2*f**2 + 3 - 22. Does 9 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Let h be ((-4)\/b)\/((-5)\/25). Let s(g) = 3*g - 6. Give s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(720)*-1 - sqrt(720)))\/((2*sqrt(441) + -1*(sqrt(9) + 1*sqrt(9)))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-2*sqrt(320)) - (4 + sqrt(1377) + sqrt(1377) + 1))*-4.\nAnswer: 20 + 289*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 43, 2\/71, -106, -0.1, -0.4?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -464*i**6 + 83207*i**4 - 31*i**3 - 83209*i**4 + 98*i**2 + 33*i**3 wrt i.\nAnswer: -55680*i**3 - 48*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 36*l**2 + 6*l - 177. Is 6 a factor of p(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -n - 33, -4975721*i + 4975722*i - 2*n = 18 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99797?\nAnswer: 23, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 122*q - 1. Let m be a(1). Let f = 122 - m. Sort 2, -1, f in descending order.\nAnswer: 2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-13))\/(20*(-16)\/3840*12).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**3 + 5*t**2 + 3*t**2 + 0*t**3 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g + 8. What is o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.98 - -0.02. Let k = -1.016 + 2.016. Which is the second smallest value? (a) -2\/13 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-168))\/(((-1989)\/34)\/(-39))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.4, 1.11, -3\/4, 3, -0.88?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -6.6 and -0.139 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121528 by 1722.\nAnswer: -60764\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03029 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -967, -802, 219, 2096?\n\"Answer: 428*v**2 - 1119*v - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0795 - 57.7795. What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*32\/56*(-7)\/(-924)*-14.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - (-6)\/(180\/6650). What is w in 24 - 437*w**3 - 342*w**3 + 667*w**3 - 152*w + 18*w**4 + d*w**2 = 0?\nAnswer: 2\/9, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -894 (b) -0.2 (c) 55 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 40, 99, 208, 385, 648, 1015, 1504?\n\"Answer: 3*v**3 - 2*v**2 + 12*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 3003207658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + 624*f - 11. Let x(o) = -4*o**2 + 642*o - 9. Calculate -5*n(i) + 6*x(i).\nAnswer: i**2 + 732*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 14*q + 2315 = 2597, -2*f - 42 = -2*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126744 + 3476?\nAnswer: -123246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**6*y**6\/y*(y**(2\/17)*y)\/y**7 assuming y is positive.\nAnswer: y**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 66, 10, 16, 9 in descending order.\nAnswer: 66, 16, 10, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289661\/52 - 20921\/4. Let k = u + -340. Is -1 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*y + 24. Let u(l) = 4. Let k(r) = -r - 9. Determine y*k(c) + 5*u(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12360271 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14384*u - 685 = 14521*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 448 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5817 - 3706. List the prime factors of k.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -49*k**2 + 8*k + 1. What is p(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bubfubfff?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4 - -7) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -8 + -3 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3192057.982 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1042 and -12?\nAnswer: -12504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 139, 1412.\nAnswer: 3, 21, 139, 1412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-70)\/(-21)*(-6)\/130.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - k - 1. Let w(m) = 12*m + 12. Calculate -12*q(v) - w(v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3*z**2 - 2*a**3*z - 343508*a**2*z**2 - 62224731*a*z + 7*z**2 wrt z?\nAnswer: 10*a**3 - 687016*a**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348679.3ug to kilograms.\nAnswer: 0.0003486793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 60*d**2 - 208*d - 735. What is s(56)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5 + 5. Suppose 0*x = 3*h - 5*x - 607, -h - u*x = -184. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - g = -0*z - 1025, -5*g = 20. Let r = -152 - z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44.4 >= -3686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, 40, 159, 346, 607, 948, 1375, 1894?\n\"Answer: v**3 + 25*v**2 - 25*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 8*a + 720 = 0. Suppose 8*q = 14*q - a. Solve -q = -s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciui when four letters picked without replacement from {i: 4, u: 3, a: 1, b: 2, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -242*h**4\/23 + 29630568*h**3\/23 - 40404966*h**2\/23 + 11754152*h\/23 - 979512\/23 = 0.\nAnswer: 2\/11, 1, 122439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9191 - 2.\nAnswer: -9193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from rtv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -21. Let w be 48 - (0 - (3 - 1)). Let j = w - b. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 4*s + 6965, 5572 = 4*q + 4*s. Let c = q + -642. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41256 divided by -20628\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**(-6))\/d*d))**(13\/3) assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -14. Sort 1, -4, -0.04, j in decreasing order.\nAnswer: j, 1, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/4 - 5941*o\/4 + 102153 = 0. What is o?\nAnswer: -6009, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -7178\nAnswer: -2153.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-23\/2)))\/r**31*r**(2\/23)*r*r\/(r**(-17)\/r) assuming r is positive.\nAnswer: r**(27\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95600934 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 854190 divided by -170838\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 15, -34, -4 in descending order.\nAnswer: 15, 4, 2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*f + 2 + f - 2 - 4*f + f + 2*f + (5 - 5 - f)*(-2 - 2 + 5) - f - f + 0*f + (3*f - 4*f - f)*(2 + 0 - 3).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61205nm in millimeters?\nAnswer: 0.00000061205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 2\/15, 0, 0.2, 21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105014253 (base 6) to base 15.\nAnswer: -27c6c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + 0.09. Let k = -78 - -84. Which is the closest to -2? (a) k (b) w (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.199 + -492.199. Let c = l - -487. Let q be 0 + (24\/(-15) - -1). Sort q, c, 0, -3\/4 in ascending order.\nAnswer: c, -3\/4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15288 divided by 91.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226579 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17190829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q**2 - 355*q + 16185. Let g(c) = 17*c**2 - 533*c + 24279. Let z(x) = -7*f(x) + 5*g(x). Solve z(n) = 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 249\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746 rounded to the nearest integer?\nAnswer: -1746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o + 16. Let g be f(-2). Let m(y) = -y**2 - 5*y - 4. Let d be m(-4). Put g, 4, d in decreasing order.\nAnswer: 4, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.465502 decades?\nAnswer: 0.3465502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 4. Let b be (21 - 23)*3*122\/4. Let x = 180 + b. Let u(a) = 7*a + 7. What is x*u(z) - 5*m(z)?\nAnswer: -6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-69)\/3*(-2 + 6). Let u be (-4)\/22 + b\/(-22). Solve 5*o = u*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10830.044 rounded to the nearest integer?\nAnswer: -10830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/21*14\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/47 in -2, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from aaaaaaiiaia.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 162*t**2 - 19*t**2 + t + t + 27*t**2 to w + c*t + m*t**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9397, 11433, 13467, 15499, 17529?\n\"Answer: -s**2 + 2039*s + 7359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68180002 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/(-9765)*-31)\/((-6)\/(-70))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 0, 29*l + 3*s = -0*l + s - 2*s - 29 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 124, 28, -196, -584?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238159601.\nAnswer: 11779, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 712?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-92)\/(-18) - 17\/153. Solve d*g = j - 15, 3*g + 12 = -g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 8*i**2 + 4*i - 7. Let h(u) = -u**2 - 9*u + 3. Let t be h(-10). Let d be k(t). What is the highest common divisor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from garrqqbqmrar.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42208.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 4 + 57*a**3 - 237*a**3 + 9*a**4 + 62*a**3 + 57*a**3 + 60*a**3 in the form q*a**3 + o + j*a**2 + w*a + p*a**4 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40608 is divided by 36314.\nAnswer: 4294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**(-3\/5))\/((k**(1\/6)*k)\/k*k**(5\/2)*k) assuming k is positive.\nAnswer: k**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2537540 + 1?\nAnswer: 2537541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/48070 and -163\/2622?\nAnswer: 144210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 15*y + 8. Let x(k) = -k**2 - 16*k - 7. Let r(j) = -5*x(j) - 6*z(j). Let n be r(-9). Is -8\/3 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 10*c - 5. Let r(l) = 2*l**2 - 30*l - 16. Let x(h) = -8*b(h) + 3*r(h). Let i be x(-6). Let d = i + 47. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 6*r**2 + 8*r - 7. Suppose -2*a = 2*i - 6*i - 28, -2*i + 2 = 3*a. Suppose -7 = -a*z + 3*z. Let d be n(z). Solve b = -1 - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144234.\nAnswer: 2, 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 8:24 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8642, -34727, -78234, -139157, -217490?\n\"Answer: a**3 - 8717*a**2 + 59*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 c when three letters picked without replacement from tbdeeqcq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -6. Let o(i) = i**2 + 7*i - 1. What is o(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uununununnuunuuunnun. What is prob of picking 2 n?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121195\/12 + -10099. Which is the second biggest value? (a) -1\/2 (b) 2\/5 (c) p (d) -0.2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Let a(m) = -m**2 + 2*m - 6. Determine a(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**(-2))\/(s\/(s**1*s)*s**(-2\/17)) assuming s is positive.\nAnswer: s**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.785 - 1.885. Which is the nearest to z? (a) 136 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b - -ee?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-64)\/(-6))\/4. Suppose -5*c = -h + b, 3*h + 5*c + 36 = -0*c. Let a = h - -33. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 8*q - 4*q. Suppose -7*k = -5*k - q. Suppose -k = 3*r - 5. Sort 7, r, 5.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d**2)*(3*d**3 + 26*d**3 - d**2 + 57*d**3).\nAnswer: 86*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 47*m - 784. Calculate h(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p + 5*p**5 + 5*p**3 + p**2 - 21*p**2 - 15*p**4 - 9*p + 35*p**2.\nAnswer: 5*p*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 6*r**2 + 7*r + 5. Let n be w(-7). Suppose n*m + 2264 = -336. Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.46. What is the closest to -1 in 1\/4, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**3 + 16*c**2 - 68*c + 203. Give h(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 2. Let x(s) = -s + 24. Let j(v) = -6*a(v) - x(v). Calculate j(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.11376755 times 4?\nAnswer: 12.4550702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*o + 736 = 0, o - 5*o = -h + 353. What are the prime factors of h?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cdeeb6 (base 15) in base 8?\nAnswer: 45356014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4151 is divided by 3963?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2810, -11237, -25286, -44957, -70250, -101165?\nAnswer: -137702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7538144.\nAnswer: 2, 29, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 414 = 3*a, -x + 6*x = 10. Let v = a - -702\/5. Sort -4, v, -0.3 in descending order.\nAnswer: v, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*q**3 + 143*q**3 + 142*q**3 - 3031*q**2 + 723*q**2 + 139*q**3 to i*q + k*q**3 + x + o*q**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 21.04691kg?\nAnswer: 0.02104691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 19*b**2 + 45*b + 73. Let z be y(-21). Solve 4*h - 2*g = -z, -g = 3*g + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, u: 4, g: 1, d: 5}. Give prob of sequence dg.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 114664801, 114664800, 114664799?\n\"Answer: -d + 114664802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/30 + h**2. Let d(f) = -9*f**2. Give l(d(b)).\nAnswer: -162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7 + 390\/273?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/390 - 5*p**4\/39 - 12*p**3\/13 - 529*p**2. Let b(d) = 0. Calculate d.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9462054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.96 + -0.04. Let c = -191 - -188. What is the nearest to -2 in b, c, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l. Suppose 25 = 5*w - 4*a, w = -w - 3*a - 13. Suppose j + 21 = 19. Let r(s) = -4*s**2 + 4*s. What is j*u(g) + w*r(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752505483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c + 27. Let h be x(-4). What are the prime factors of 16*10\/8*(-14)\/h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/4524)\/(((-78)\/(-16) - 5)*3).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:52 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/85903606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65019 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(660))\/sqrt(12))\/(sqrt(5) + (sqrt(80) - 2*sqrt(80) - sqrt(80))).\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 5 (b) 1\/13 (c) 22 (d) 1\/2 (e) 2\/281 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*a + 20 - 4\/7*a**2 = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 smaller than 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 3*m)*(-2 - 1 + 1)*(-2*m**4 - 2*m**4 + 37*m**4).\nAnswer: -66*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 7*i**3 + i**2 - 7*i.\nAnswer: -i*(i - 7)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j - 6 - 28*j - 4 + 5 - 1009*j**2 wrt j?\nAnswer: -2018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkookjpmojk. What is prob of sequence pjo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 5*b + 6. Let z be w(4). Suppose z*m + 2*l = 0, 0 = 5*m - 4*l - 52 + 7. Let i(s) = s**2 - 4*s + 7. Is i(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 - 0.205. What is i rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 126?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83700812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3104 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*w + 29, 3*w = -4*l + 9 - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.232964 to three dps.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0 - 3*o + 0) + 68*o - 35*o + 63*o + 0 + 0 - o.\nAnswer: 101*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24345 (base 6) to base 12\nAnswer: 20b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 7\/220818 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 5 (c) 285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189183 and 35397.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 8. Let t be u(4). Suppose -4*a + 4*r + 20 = 0, 4*a = r + r + t. Suppose 130 = a*n + 5*c, 0 = -2*c + 4*c - 8. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 8*d**2 + 16. Let t be x(8). Suppose -12*i + t*i - 40 = 0. Suppose -i*j + j = -1449. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36882409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147386861?\nAnswer: 147386861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:31 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 5. Let x be 7\/(-3) - v\/9. Let s be (-26)\/(-4) - (-3)\/x. Solve -1 + 21 = s*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1ae?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14666 + 17066. What is the greatest common factor of 2160 and b?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12200*f**4 + 6102*f**4 + 6110*f**4 + 4*f - 2*f**3 in the form h + m*f**3 + n*f**4 + d*f + k*f**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 284 - 110. Suppose 3*m = m + w. Let p be m\/3 + (-4)\/(-12). Calculate the greatest common factor of p and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 15*f**2 - 24*f - 27. Give c(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from uuyyuuuuuuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21 - (-5)\/(25\/(-20)). Let g = -22 + z. Let a = g + 10. Solve 5 - 10 = -3*y - s, -5*s = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 29329*q**2\/4 - q\/4 + 29329\/4.\nAnswer: (q - 29329)*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2727\/5 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 418235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -14. Let x = -4.1 - u. Which is smaller: 1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -404, -701, -980, -1235, -1460, -1649, -1796, -1895?\n\"Answer: c**3 + 3*c**2 - 313*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1209)\/6)\/(53196\/8184)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 + 51\/5)\/(-1 - -2). Which is the second biggest value? (a) 5 (b) u (c) 2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*h - 38. Suppose 2*p + 3 = 3*p. Let u = 4 - p. Calculate the greatest common divisor of u and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 43. Let x(k) = k**3 + 6*k**2 + k + 8. Let p be x(-6). Let c(r) = -1 + r**p + 3*r + 2*r + 0*r. Determine c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 254?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 59028681 divided by 1904151\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1974 divide 96384370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/2*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 6)\/(-2) - 1. Suppose -3*j = -8 - n. Solve -x - w - j = -6*w, -w = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268794391 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -38. Suppose 128 = x*g - g. Calculate the remainder when g is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -109*m + 899. What is the hundreds digit of h(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 bigger than -180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s - 418 + 246 + 169 - s**2. Give l(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 4, 6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246309 and 1150737.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/(1\/307) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30620 and 22.\nAnswer: 336820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5, -2 in ascending order.\nAnswer: -26, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1164*p**6*z**3 + 161*p**4*z**3 + p**2 - 2*p*z**2 - 30*p - 19*z**3 - 15*z**2 wrt p?\nAnswer: 139680*p**3*z**3 + 3864*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {x: 1, p: 3, b: 2, s: 9, o: 2, v: 3}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -0.4 (c) -12 (d) -5 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 - ((7 - -1) + -83173) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 1 - 108*g - 7.\nAnswer: -108*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2 + -2)*(-1 - 5 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 13*q - 16. Let m(b) = -11*b**2 - 25*b + 37. Give 5*k(w) + 2*m(w).\nAnswer: 3*w**2 + 15*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 + 42*k**5 - 10*k**5 + (-4 - 3 + 5)*(3 - 25*k**3 - 12*k**2 + 15*k**3 + 9*k**3)*(-4*k**2 + 0*k**2 + 5*k**2).\nAnswer: 37*k**5 + 24*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62063506 is divided by 1383.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)*i*i**(-4))\/(i**1)**(-5\/12)*(((i*i\/((i**(-1)\/i)\/i))\/i)\/(i**(-4\/7)*i))\/(i\/(i\/(i**(1\/2)\/i)))**(-1\/11) assuming i is positive.\nAnswer: i**(239\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let x(v) = 2164*v**2 - 1266. Determine n(x(t)).\nAnswer: 4328*t**2 - 2532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -42*s**3 - 4*s**2 - s - 3. Let w(x) = 43*x**3 + 5*x**2 + x + 4. Give 4*a(u) + 3*w(u).\nAnswer: -39*u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, i: 1, j: 3}. Give prob of picking 1 i and 2 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -1042, -2346, -4162, -6484, -9306?\nAnswer: -12622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86519 and 4579?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**4 - 4*b - 5*b**4 + 3*b**2 - 6*b**2 + 6*b as h*b + t*b**3 + a*b**2 + o + c*b**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2*v - 2. Let k be y(-4). Let d = -17 + k. Let i(m) = -d*m + 3*m + 2*m - m**2. Let l(s) = 15*s**2. Calculate l(i(x)).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, l: 1, y: 1, j: 6}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99682? (a) 0 (b) 2\/11 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (221\/234)\/((-1)\/(-21)) and -34\/59.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020110011101 + 1?\nAnswer: -1020110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205436959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + (-1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 107 + 35*o**3 + 57*o**3 - 57 - 55 as m*o**2 + g*o**3 + i*o + k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2*t. Let f = -27 - -25. Let i(k) = k**2 - 2*k + 1. What is f*u(y) - 3*i(y)?\nAnswer: -y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 3*y)*(1 - 4 + 1)*(7*y + 10*y - y) in the form i + b*y + l*y**2 and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 52) + -10 + -9 - -17) + 15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -859, 12, 1 in descending order.\nAnswer: 12, 5, 1, -859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2057) + 1)*-4)**2.\nAnswer: 352*sqrt(17) + 32928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1. Let j(w) = -w + 15 + w - 2*w - 11. Give 4*c(i) + j(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2301*s**3 + 1303*s - 4986. What is the first derivative of d(m) wrt m?\nAnswer: -13806*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -81*q + 1. Give f(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1. Let n(q) = q + 2. Let m = 269 - 259. What is m*p(d) - 5*n(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4813?\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1) + (-6 + -705 - 5). Let b be (d\/(-8))\/((-3)\/(-12)). Suppose 6*l + b = 8*l. What are the prime factors of l?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22126466 (base 7) to base 6.\nAnswer: 104505235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 172*q + 1741. Let l be i(-10). Let 147 + 3\/4*w**2 + l*w = 0. What is w?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 4. Let d(x) = x + 1. Let b(g) = -4*d(g) - s(g). Let y(i) = -i**2 + 3*i + 5. Let c be y(4). Let f(a) = 15*a. Give c*f(z) + 18*b(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -334 + 83 + 83 + u + 75 + 83. Let b(t) = -t + 11. What is 3*b(n) + 4*r(n)?\nAnswer: n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2176 and 7908672?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/12*-2*18\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/12 + 5*n**3\/6 + n**2 + n. Let l be r(-4). Does 13 divide -2*(-1)\/l - -29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) - (sqrt(72) + sqrt(2) + 3 - sqrt(2))) + 3)**2 - 3*(-4 + 2 + sqrt(242)).\nAnswer: 27*sqrt(2) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let u = -4 + 6. Let q be (-1 - 23)\/(-4) + 7 - (1 - -1). Let h(d) = -5*d**2 - d**2 - d**u - q*d**2. What is h(r(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 24, 32, 40?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/391, 0.5, -4\/3, -8, 3, 11 in descending order.\nAnswer: 11, 3, 0.5, 16\/391, -4\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121424334 - 1?\nAnswer: -121424340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*r - 2*r = -30, -4*z - 3*r = -25. Suppose -8 = -2*p + z. Suppose -2*m + p = 3*n, -m - n = n - 2. What is the highest common factor of m and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. Suppose 0 = -4*w + s*w + 3. Is 23 a factor of w*2*31\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + (46 - 51)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 = 64. Suppose -3*l + 6 = 0, 0*l + s = -5*y - 5*l. What is the units digit of 3*y\/(-6)*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -7 + 17. Let w(l) = -508018*l - 1. Let s be w(b). Let j = s + 576037. What is j rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l + 5. Let u be (-7)\/(3\/3) - 1. Let h be x(u). Let o = 426\/7 - h. Is o >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2\/(18\/(-3))). Suppose h*v - 8 = -v. Is (-2)\/((-4)\/78) - v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 11*d - 36. Let w be n(14). Let c be -1 + 113 - w\/(-18)*-3. What is the second derivative of -111 + c - 14*s - s**2 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let v(b) = -b**2 + 5*b + 3. Let u be 230\/50 + 4\/10. Let j = u + -3. Let q be (3 - (-15)\/(-6))*j. Give q*v(t) + 4*a(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1806489 and 191994?\nAnswer: 39742758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -469 - -793. Calculate the common denominator of 17\/18 and (3\/(h\/34))\/(3\/6).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*p + 271*p + 2 + 3 + (0*p + 3*p + p)*(2 - 8 - 10).\nAnswer: -63*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18440 divided by -3?\nAnswer: 18440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85538551 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3670*d - 17. Let a(c) = -1225*c + 6. Determine 17*a(w) + 6*i(w).\nAnswer: 1195*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55201.5 plus -2?\nAnswer: -55203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 4*k**2 + 10. What is t(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(17) + ((0 + sqrt(612))**2 - sqrt(17)) - (1 + (sqrt(17)*2 - sqrt(17)) + 2 + sqrt(17))) + 5.\nAnswer: -2*sqrt(17) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/79833436 and 39\/39916718.\nAnswer: 79833436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 70, 122, 206, 328, 494, 710, 982?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 4. Let y be a(-3). Let r be ((-20)\/(-8))\/(1\/2). Suppose r = j + y. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = -4. Let j be 2\/x*30\/(-2). Suppose 0 = 3*t + j - 20. Solve 3*n + 7 = 5*a, a = -t*n - 19 - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 14*l**4 + 7*l**4 - 23*l**4 + 1 - 5*l**2 to s*l + k*l**3 + m*l**2 + i + x*l**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -387.9489 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 848743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y**2. Let r(x) = 5593816*x**2. What is r(t(c))?\nAnswer: 1432016896*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*b - 43, -b - 48 = 3*b - 5*i. Let r be 60\/(-63) + (-2)\/b. What is the closest to 1\/2 in -0.3, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (513\/27 - 33)*(-1)\/(-10) - (-132)\/80?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnq when three letters picked without replacement from nfqwtnnqqmnnqqnq.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1897.66 millimeters to meters.\nAnswer: 1.89766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhd when three letters picked without replacement from {h: 2, w: 7, r: 4, d: 1, v: 6}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, d: 5, u: 1, p: 6}. What is prob of picking 3 e and 1 u?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 14*y - 5. Let w be b(-9). What is the common denominator of 6\/(1\/39*w) and 3\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0139821 and 3.89.\nAnswer: 0.054390369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 + 36*h**2 - 12*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + (-5 - 64\/(-12)). Let v be 64 + -68 + o + 9\/2. Which is the second biggest value? (a) 5 (b) v (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 0.1 (c) 167\/654 (d) -0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -1014\/7 - 13\/7*h - 27\/7*h**3 + 1\/7*h**4 + 27*h**2 = 0.\nAnswer: -2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 0, -0.069, 3.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6730 + 11912. What are the prime factors of u?\nAnswer: 2, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x**2\/4 - 332117*x + 189781\/4 = 0.\nAnswer: 1\/7, 189781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*t**2 + 371*t**2 + 181*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 155. Let m = 75 - q. Solve 5*j - 13 = -5*v + 2, 4*v + m = 3*j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 644 + 166. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1449\/(-69))\/(-147))\/(34\/1071)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 1\/60*s**6 + 1\/3*s**3 + 0*s - 1\/8*s**4 - 1\/30*s**5 + 0 - 7*s**2. Does 28 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5461 or 60.32?\nAnswer: 5461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**6\/480 - 3*k**5\/160 + k**4\/8 - 14*k**3\/3 + 17. Let h(n) be the third derivative of f(n). Factor h(r).\nAnswer: -3*(r - 1)*(r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7009 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:45 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/10 + w**4\/4 + w**3\/3 - 19*w. Let a be p(-1). Solve -2*j = a*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:13 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23417, 46900, 70429, 94004?\nAnswer: 117625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209368.\nAnswer: 2, 26171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v + 3. Let o be u(2). Let j be 2\/(-3) - (-3)\/o. Let d(b) = -14*b**3 + 2*b**2 + b. Let p be d(j). Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -85\/9. Find r such that r**4 - 4*r**3 - 8\/3*r + x + 47\/9*r**2 = 0.\nAnswer: 1\/3, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 4 + -16 - (9 + 12 + 11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/3*p**3 + 0 - 1\/24*p**4 + p**2 - p. Let c(m) be the first derivative of y(m). Find the first derivative of c(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.062, 1\/6, 1.7?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/78*-2 - (-5 - -8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*w - 2*w = -35, -3*w = -4*i + 27. Determine p, given that -3\/2*p**i - 3\/2*p + 0 - 3*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37\/5 - -269\/35. Let p be 3 - (12\/5 + 1). Which is the closest to m? (a) 0.6 (b) p (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24)\/(7\/(-28))*-332*42\/112.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144899 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:06 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 5. Let k(x) be the first derivative of x**2\/2 + x - 1. What is -3*k(v) - l(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.06, -0.4, 1\/4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(13\/(-143))\/((-1145)\/55)\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4705 - -89\nAnswer: -4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, -2, -58 in descending order.\nAnswer: 3, -1, -2, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8412743 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 - 2*u + 1. Let w be d(-2). Let f be 4 - (-1)\/(w\/16). Let o = 18 - f. What is the smallest value in o, -5, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 + 5. Round d to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*6*(-3)\/6. Let h be 25\/1 + u\/(-3). Solve 14 = p + 4*r, -5*p + 0*r - h = -4*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 35*p**5 + 520*p**4 + 2130*p**3 + 1400*p**2 - 245*p = 0.\nAnswer: -7, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5200 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1200 and -83\/79300.\nAnswer: 951600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.73 - -6.7300868. Round g to 6 decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/1384, -576, 1\/8, 1\/27?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 3*y**4 - 2*y**4)*(-4*y + 2*y + y) + (35*y**2 - 20*y**2 + 104*y**2)*(-6*y**3 + 4*y**3 + 4*y**3).\nAnswer: 237*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -44. Suppose 0 = 5*q - 3*a - 15, 25 = 3*q - t*a - 2*a. Let m = -18 - -30. Solve -4*f + q = m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*o + 39, 4*o = i - 0*i + 75. Suppose 0 = 3*y + y + 8. Calculate the remainder when 14 is divided by y\/(-5) + o\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 22*c**2 - 22*c + 23. Let x be z(21). Find d such that -14*d**3 + 51*d**x - 3 - 64*d - 27 + 15*d**2 + 6 = 0.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 19 = 2*w, -16*p + 14*p - 5*w = -20. Let z(g) = -g**3 - g. Let a(x) = -7*x**3 + 6*x**2 - 6*x. Determine p*z(y) - a(y).\nAnswer: 2*y**3 - 6*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23566 divided by 158?\nAnswer: -11783\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.0849717\nAnswer: 0.3398868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-19\/2)\/x)\/x)*x*x**(-1\/29)\/x)\/(x\/(x*x**24\/x)*x**20) assuming x is positive.\nAnswer: x**(897\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.76 and 0.1.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(500) + 1 - sqrt(5)) + sqrt(40)\/sqrt(2) + -4 + 1 + 0 + -3)**2.\nAnswer: -110*sqrt(5) + 629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 116*u**2 + 1040*u + 1152.\nAnswer: -4*(u - 8)*(u + 1)*(u + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 1. Let v = -6.15 + 6. Let y = n - v. Round y to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*u - 73, 0*v + 5*u = 2*v - 36. Let i = 105 - v. Calculate the remainder when i is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60940259 + -1.\nAnswer: 60940258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023 times -1?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60294731 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14790 from -0.69.\nAnswer: -14790.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704569 is divided by 7189?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, -1042, -2137, -3232?\n\"Answer: -1095*u + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyuz when four letters picked without replacement from uzuyxszuuuuxyx.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17326365?\nAnswer: 3, 5, 7, 31, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-v**4 - 3 + 3 + 62*v**4 - 12*v**4 - 7*v**4 + (-3*v + 3*v + 2*v)*(2*v**3 + 0*v**3 + 0*v**3)).\nAnswer: 92*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 + 12228*c**2\/5 + 2075498*c + 10365264\/5 = 0. What is c?\nAnswer: -5096, -1017, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65*1\/(2 - 3). Let f be p\/2*24\/(-15). Suppose 38*o - 3*l + 11 = 39*o, o - 51 = 5*l. What is the greatest common factor of o and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -5*j**2\/2 + 9*j - 10737. Determine o(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**7\/70 + y**6\/30 - y**5\/30 - y**4\/4 - 2*y**2 + 38*y. Find the third derivative of s(m) wrt m.\nAnswer: -216*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwbbbwb. Give prob of picking 1 w and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from esnenleet?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4535152890 to the nearest 1000000.\nAnswer: 4535000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10\/9)*q)**(-20\/7)\/(q**(-1\/19)*(q**15*q*q)\/q) assuming q is positive.\nAnswer: q**(-18709\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 450\/(-35)*(-1)\/((-6)\/(-2128)). Calculate the greatest common factor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3 - 3*m. Let k(j) = 6*j. Determine k(a(d)).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154744145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -26*b. Let j(w) be the second derivative of -w**4\/6 - 11*w. Determine n(j(y)).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 580, -0.05 in decreasing order.\nAnswer: 580, -0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/25 + 18\/15. Let k = -187\/40 + -3\/40. Let l = k + 25\/4. Which is the nearest to h? (a) -5 (b) 2\/19 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -31388 and -31394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5169402 and -0.005.\nAnswer: -0.5219402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836595, -1673180, -2509779, -3346398, -4183043, -5019720, -5856435, -6693194?\nAnswer: -7530003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -14975.\nAnswer: -2\/14975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/13 + 58\/39. Let c(m) be the first derivative of -2\/9*m**3 - f*m - 2 - m**2. Factor c(k).\nAnswer: -2*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 + 11*v - 84)*(-v**2 + 7*v**3 + v**2)*(-2*v + 3*v + v).\nAnswer: 154*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 596472.5 millennia?\nAnswer: 596472500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -56*b**3\/3 - 69*b + 94. Differentiate t(f) with respect to f.\nAnswer: -112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22335005 != 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, -252, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(105)\/sqrt(3)*-6 - sqrt(175)\/(sqrt(5)*-1))\/(sqrt(125) + ((sqrt(125)*3*5 - sqrt(125)) + sqrt(125) - sqrt(125))).\nAnswer: -4*sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(2\/6). Suppose -2 = 2*x + 2*s, -j*s - 4 = 2. Suppose 0*z + 2*m + 20 = 5*z, -x*z + 3*m = -19. Solve z*y - 2*c + 6 = -0, 4*y + 20 = -4*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -83*j**4\/24 + 8*j**3 - 2*j**2 + 24. Does 37 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h. Suppose 5*w + 9 = -2*s, h = w + 4*w + 3*s + 6. Which is the second smallest value? (a) 1 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 7*c + 329. Let z be 1\/((-3)\/(c - 7)). What is the highest common divisor of z and 540?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-35)\/2))\/((140\/50)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-1*(sqrt(980) + 0 + sqrt(980))*-4*-2.\nAnswer: -1 + 672*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 101\/3 (b) 6\/173 (c) -5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and 1\/71971.\nAnswer: 575768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27763964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -1 - (-1)\/(-1). Let a = p - 4. Suppose 0 = -6*h + 6 - 36. Sort -2, a, h in increasing order.\nAnswer: h, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 176*p**3 + 32*p**2 - 32*p. Let i(r) = -27*r**3 - 5*r**2 + 5*r. Suppose 15*a - 8 = -2*a + 77. Calculate a*o(l) + 32*i(l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 - 11792*p + 35373 = 0. What is p?\nAnswer: 3, 35373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 11. Let i be z(-8). Suppose -i*x + 69 = 213. Let v be 2*(-1 - x\/51). Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282156 is divided by 13218?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 118 (base 10) to base 2\nAnswer: 1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1474987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.6 + -2.4. Let i = -34 - m. Let q = 12.98 - i. Which is the nearest to q? (a) 0 (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 3*h)*(h + h - h) + (771 - 44*h - 771)*(-2 + 2 - 4*h) + 2*h**2 + 2*h - 2*h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 + 22?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1961\/45 - 219\/5. Which is the closest to -2\/7? (a) -1 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - x = 2*t - 58, 5*t = -x + 298. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(1216) + 1 + sqrt(1216) + sqrt(1216) - sqrt(1216)))**2 + (1 + sqrt(1216))**2*-4 + 5.\nAnswer: 10 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30177 and 1260.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) - (sqrt(80)*-1 + 4 - sqrt(80))))*5 + 1*(5 + -1 + sqrt(80))**2 + 5.\nAnswer: -8*sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/((-6)\/(-9)). Let y be k\/(-2) - 135\/(-6). Suppose -8*n + 6*n = -110. Calculate the greatest common factor of n and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 160 + 55*k**2 - 305 + 62*k + 173. What is the units digit of g(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9711.28043177 and -0.4?\nAnswer: 9710.88043177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43112 + 43113. Let s = -3.7 + 4. What is the smallest value in s, -1, 0.2, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 17 - 3) + -57 + 51\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -4*k**5\/5 - 2*k**3 - 7. What is the third derivative of l(f) wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from iiiiiiiviyccvivi?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 83. Let i = k - -31. Let m be (-7)\/(-12) + (-5)\/20. Which is the nearest to m? (a) i (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from cwwc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658 and 302414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmltlhk. Give prob of picking 1 k, 2 l, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 + 693 = -5*v. Let g(m) = m**3 + 8*m**2 - 2*m - 6. Let n be g(v). Solve 4*j - n = -14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 44*t + 8. Let g = 17944 + -17949. Let n(z) = 44*z + 7. Calculate g*s(c) + 6*n(c).\nAnswer: 44*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 296\/12 + (-16)\/(-12). Suppose 24*n - j*n + 30 = 0. Suppose 0 = 2*o - 5*o + n. Solve 10*p = o*p + 5*k - 15, p + 3*k = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 3\/5, -4\/31, -0.2, 138?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**2 + 0*x**7 + 0*x + 1\/300*x**6 + 0 - 1\/840*x**8 + 0*x**3 + 0*x**4 + 0*x**5. Solve q(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65\/524 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = -22616 + 22895 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3690 and 2445435?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/4*3840\/3328?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 214, 210, 202, 190, 174, 154, 130?\n\"Answer: -2*l**2 + 2*l + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/30*1400\/140?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -75. Suppose 1 + c = 2*n - m, -2*m = -n - 2. Find the third derivative of -13*f**n - 21*f**6 + 28*f - 8*f**2 - 28*f wrt f.\nAnswer: -4080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**3 - 4*z**2 + 27*z - 42. Let w be i(5). What is the highest common factor of w and 10199?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaaaaqqaqqqaaqqqaa. Give prob of sequence qq.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 328, 2.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-516)\/1419 + (-618)\/(-66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25313, 24923, 24429, 23831, 23129, 22323, 21413?\n\"Answer: -52*y**2 - 234*y + 25599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4876 (base 9) to base 4\nAnswer: 320301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -55 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 0*l + 425 = -47*v + 3*l, 6*l = -6 - 24 for v.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43310 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.3 + -36.3. Let f = 0.2 - 0.2. Let s = f + -0.5. Which is the biggest value? (a) m (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 - 17 = c, l = -5*c - 10. Solve -5*i - l = 0, y + 4 = -i - 2*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (-4 + 0 + -4 + -52 + 58).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 58*g - 1767527. List the prime factors of g.\nAnswer: 23, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26404?\nAnswer: 2, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(sqrt(847)*1 + 4)*-1 + 3)**2.\nAnswer: 1870*sqrt(7) + 21468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21416*j + 749377. Calculate q(-35).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 + r**4\/4 - r**3\/6 - r**2\/2 + 4*r. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/n**(-2\/3))\/n)\/n*n))\/n**(2\/11)*(n**(1\/3)\/n)**30)**(-1\/6) assuming n is positive.\nAnswer: n**(655\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -849, -9 in descending order.\nAnswer: 41, -9, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31022 - -50461. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940008259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49507*d**4 - 27*d**2 - 396*d?\nAnswer: -1188168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 9*v**5 - 5*v**5 + (-2*v**5 - v**5 + 0*v**5)*(-1 - 6 + 3) - 3*v**5 - 3*v**5 + 5*v**5.\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 16 = 1. Sort -33, j, 5.\nAnswer: -33, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(208) - (1 + sqrt(208) + sqrt(208) + 1)) + (sqrt(208) + (sqrt(208) - (sqrt(208) + -3)))*3)*4 + -4.\nAnswer: -128*sqrt(13) - 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 10. Let h = 6 + c. Let t = 1.0006 - h. Round t to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + v + 17 - 14 - 4.\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 521\nAnswer: -364.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 480\/((0 + 12\/(-32))\/(-1)). Suppose -11 = 9*s - w. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00936825 rounded to 4 decimal places?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 2, o: 5, u: 1}. What is prob of picking 1 o and 1 u?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0 - (-412 + 287 - -111).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and 101\/25818?\nAnswer: 129090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(63))**2 + ((0 + sqrt(7))*-6 - sqrt(7)).\nAnswer: -13*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-9) - (-66)\/27. What is the hundreds digit of 3\/(105\/(-638) + n\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3587 - 2524. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 3*z + 5. Let o be m(5). Let b = o - -9. Suppose -20 = -b*j, -s + j - 8 = -j. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 - s + 5. Let u be t(3). Let x be (u - -2)\/(2\/(-2)). Put 4, x, -1 in decreasing order.\nAnswer: 4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 5, 37?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:06 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (87\/(-18) + 5).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2)\/((-4)\/8 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -70, -104, -138, -172?\n\"Answer: -34*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - h**2 - 165*h - 4*h**2 + 15 - 6.\nAnswer: -5*h*(h + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - o + 3. Let u be q(5). Let g = -3058 + 3073. Suppose u = g*f - f. Calculate the highest common factor of 77 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 97. What is the remainder when x is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-258)\/30 + 9 - (-988)\/5. Calculate the highest common divisor of r and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -75, -116, -157, -198, -239?\n\"Answer: -41*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646901 - 5254*z - 646901.\nAnswer: -5254*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 n, and 1 x when four letters picked without replacement from mxnnxnxxxxmxnxxhx?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2. Let k be z(0). Let n = 5 - k. Let a(y) be the third derivative of -y**6\/120 + y**5\/15 - y**4\/24 + y**3\/6 - 5*y**2 - 48. Give a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(5*h - h - 3*h + 4 - 2*h - 4 + (-2 + 3 - 3)*(1 + h - 1)) + (-2 + 1 + 2)*(-h + h - 2*h) - 51*h + 147*h + 27*h + (-h + 0 + 0)*(3 - 4 - 3).\nAnswer: 122*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*r - 7*f - 112, 5*r = 2*f + 196. Let m be r\/(-60)*3\/(-1). Suppose -h + 9 - 2 = 3*o, -2*o = m*h - 2. Sort -1, h, 3 in ascending order.\nAnswer: h, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from kiiiiiiiiki.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 53304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824410 is divided by 618?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from lslllvlsvlllslvzszvl?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82101263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 11*u**2 + 1 + 22*u**2 + 14*u + 10. Let g be p(12). What is the tens digit of (-40)\/(-14)*g\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2. Let l(a) be the second derivative of 2*a + 0*a**3 + 0*a**2 - 1\/6*a**4 + 0. Give l(r(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*s = -1785*s + 97723 for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3025768 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laololloaaallaaoa. What is prob of picking 1 a and 2 l?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 202764761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 73. Solve 5*f - 8*f = 5*q - c, -1 = -f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*4)\/((-2)\/(-1*76\/5358))?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898\/409 != 575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 628 and 4396?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*g + 59829 + 90691 = 0. What are the prime factors of g?\nAnswer: 5, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 176\/18 - (4 - 76\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, j: 5, i: 2}. What is prob of sequence ij?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 0, -2*z - 4*d + 6*d + 10 = 0. Suppose i = -n + z, -2*i - 8 = -n - 4. Let q(b) = -b - 4*b - 2 + 2*b**2 + b**3 + 3*b. Determine q(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**3*s + 2*o**3 - 23135*o**2*s - o**2 + 4656*o - 1331*s + 2 wrt o?\nAnswer: -54*o*s + 12*o - 46270*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 7*t + 5. Calculate z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r - 9*r + 504*r**2 - 503*r**2 - 4. Let i(u) = 2*u**2 - 24*u - 3. Let p(j) = -4*i(j) + 3*m(j). What is the second derivative of p(z) wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133.4 + 126.4. Sort f, -4, 0, -5 in decreasing order.\nAnswer: 0, -4, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 0.1.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 197818.2823 rounded to the nearest 1000?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:32 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.5. Let c = 113 + -108. Sort h, -0.5, c in increasing order.\nAnswer: -0.5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 94*u - 94*u - u**2. Let x(q) = -10*q. Give i(x(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80 + 317a?\nAnswer: 30ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2404539*h**4 + 4156174.\nAnswer: 9618156*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.006 + -6.994. Let x = b - 87. Let r = 94.79 + x. What is r rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 2*s + 6*c - 30, -5*c + 20 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3944 - -3954. Suppose -2*f + 0 = -8, 0 = -d + 5*f + 2. What is the smallest common multiple of w and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c - 18 = 42*c. Let d(t) = 10*t**2 - 10*t. Let l(n) = 3*n**2 - 3*n. Suppose 5*b - 5*y - 28 = -73, -5*y = -2*b - 24. Determine b*l(p) + c*d(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240996?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 30.35. Let v = a + -0.05. Let x = -1.6 - v. What is the closest to 1\/2 in -2, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/60426 and -67\/2208906?\nAnswer: 19880154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46338 + 46323 = -5*j + 2*l, 45 = 4*j + 5*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1636733\/53 or -30883?\nAnswer: -30883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 523*k**2\/5 + 209*k - 2\/5 = 0.\nAnswer: -2, 1\/523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 873 - 846. Let z be 4 + -2*1*1. What is the first derivative of -14*q**z - 24 + b - 19 wrt q?\nAnswer: -28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 662628 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-7952)\/(-19880))\/((12\/(-50))\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -4, -6, -121, -2, -3 in ascending order.\nAnswer: -121, -8, -6, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*r**3 - 5*r**2 + 387*r**3 - 2*r**2 + 51*r**3 + 70*r**3.\nAnswer: 124*r**3 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 22 (b) 1\/7 (c) -17 (d) 8\/13 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/12 - 7*u**3\/6 + 3*u**2\/2 + 57*u. Determine g(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + ((-1)\/2)\/((-14)\/(-112)). Put s, -5, 6, -2 in descending order.\nAnswer: 6, -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*o - 102. Suppose 59*j - o*j - 56116 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 1298?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - (-43)\/((-645)\/(-234)). Solve v*f - 4*f = 36 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -240*h**2 - 371*h. Let f(q) = 9*q**2. What is b(f(w))?\nAnswer: -19440*w**4 - 3339*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -3842, 3, 4.\nAnswer: -3842, -5, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618621 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7270*w**5 - 307*w**3*x + 37*w**2*x + 2*w**2 + 27*w*x + 33*w - x + 1 wrt w?\nAnswer: -436200*w**2 - 1842*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlo when three letters picked without replacement from {l: 4, d: 2, w: 2, o: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*n - 653 = 0, -4*v + 25*n + 864 = 21*n. List the prime factors of v.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -14 + 50. Let c be 1*-2*u\/(-8). Let r(s) = s**3 + 3*s**2 - 2*s + 1. What is the units digit of r(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**0)\/f)\/(f\/(f\/(f**(2\/5)*f))*f))\/(f**(3\/4)*f**2))**(-2\/25) assuming f is positive.\nAnswer: f**(103\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Suppose 7*u - 50 = c*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 4*f + 10. Suppose -2*k + f + 8 = 0. Suppose 3*d - 3*r = d + 9, -13 = -k*d - 2*r. Solve -s = -p + 5, 3*p + d*s = 2*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 2*s - 48, 17*s = 9*n + 14*s + 45 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 - 21313490\/(-213) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 - v**3\/3 - 8*v**2. Calculate k(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmlj when four letters picked without replacement from jcwcmajmlmj.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 334604 + 2457?\nAnswer: 337263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 573*p - 448*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2175 and 7090500.\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4451 divide 122580540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -362 - -549. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1203?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84804.97 millennia to centuries.\nAnswer: 848049.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 431*r - 428*r - 6*q, 27 = -4*r + 5*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/75)\/((-22)\/55)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -633 divided by -6?\nAnswer: 211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + (-1*sqrt(19) - sqrt(19)) + -2 - (0 + sqrt(171) + 2*sqrt(171))) + -2)**2 + 1 + 4.\nAnswer: 198*sqrt(19) + 2381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 = 4*r + 471, z = r - 9 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 47*j - 49*j - 683 = 0, 3*t - 2*j + 703 = 0. Let g = t + 322. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 + 5*k**2 - 5*k + 4. Let h(m) = -m**3 + m**2 - m + 1. Let p(f) = b(f) + 4*h(f). Calculate p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.4068 centuries in years?\nAnswer: 9840.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667964.\nAnswer: 2, 3, 29, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away 69027?\nAnswer: -69027.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12756 - -27721. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/8 + 2\/(-4). Let i be (-1*1)\/(-3 + 2). Let u(y) = -y**2 + 2*y - 1. Let a be u(i). Sort a, t, 5.\nAnswer: t, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332326\/175 + 1899. Let x = 4778572\/2275 + -54745\/26. Let z = x - c. Calculate the common denominator of z and 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396 + 2*y**6 - 484521*y**4 + 2*y**2 + 159*y**5 - y + 2*y**3 + 484521*y**4 wrt y?\nAnswer: 240*y**3 + 9540*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 0.09, 0, -2\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -72 + 34 + 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1.7909\nAnswer: 0.35818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 90\/((1\/2)\/((1\/(-27))\/(154\/1386)))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 1 - 1 - 1)*(-59*r**4 - 90*r**4 + 60*r**4).\nAnswer: -178*r**5 + 89*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 15. Suppose 3*w - 9 = 4*r, w + 3*r + 0*r - 16 = 0. Let z(j) = j - 2. Let d be z(w). Solve d*v + 3*x = 25, 0 = -v + 2*v - 4*x - p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-776)\/(-9) + 1 + (-194)\/873. Let c = u - 88. Let t(d) = 7*d**2 + 2*d + 1. Let v be t(-1). Let w(x) = -x**2 - 5. Let n(h) = -1. Give c*w(a) + v*n(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-868)\/(-21) - 2\/(-3). Let o be (-27)\/2*(-140)\/s. Suppose p + o = -2*p. Round p to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 52*g - 52. Give o(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 189837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/477*(-12)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06485 (b) 2 (c) -17 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-164)*(-83)\/1162*8.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 1:40 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/(48\/(-27)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1433325, -1433317, -1433309, -1433301, -1433293?\n\"Answer: 8*a - 1433333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3 + 0 + sqrt(432) + sqrt(432) - ((-1*sqrt(432))**2 + 0)) + (sqrt(432)*1*-6 - (sqrt(432)*2 + -1 - sqrt(432)))).\nAnswer: 60*sqrt(3) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -72*h - 2121. Calculate g(-30).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1216 and 1\/10944.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222206 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/79 or 1?\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + 27\/6) - 0.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3210388 * 25.9\nAnswer: -8.31490492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 21*y + 23*y + 35 - 44 = 0, 8*y = 56 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)\/u*u**(-9)\/u*u**0*u*u*u*u*u*u**(-4\/7)\/u*u assuming u is positive.\nAnswer: u**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*z**4 + 92745*z**3 + 22*z**2 - 5108*z + 1 wrt z?\nAnswer: -336*z + 556470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Suppose g = 2*x - 8. Suppose -5*w - 2*h + 3 = -h, 15 = -4*w + x*h. Solve -v - v + 8 = w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*g, 0*g = -b - 3*g + 16. Suppose 274*t - 453 - 643 = 0. Is t bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3332918111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3877 - 3238. Does i = 638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/14068096 and -93\/7168.\nAnswer: 112544768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 2:17 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 - 2*p - 3. Let a be f(3). Suppose 0 = -g - 2*g - v - 29, -4*g = 3*v + 32. Let j = a + g. Which is greater: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -4 + (0 - -4). Let h be (6\/(-21))\/(k\/7). What is the third derivative of 0*j**h - 6*j**2 + 8*j**6 - 2*j**2 wrt j?\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3494*h**2\/11 - 6984*h\/11 + 8\/11 = 0?\nAnswer: -2, 2\/1747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 5*u + 4. Let j be x(0). Solve -3*y = 5*m + 7 - 0, -j = y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 13*v + 1188. Let t = -14 + 119. Let q = v + t. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 95*n**3 + 3*n**2 - 7*n + 8. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 18 = 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376a (base 13) to base 10.\nAnswer: 7862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/3*-1 - 3. Suppose m = -2*s + 3*s - 46. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {u: 2, s: 4, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*c - 686*c + 3619*c in the form b + y*c and give y.\nAnswer: 2682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13813.7 + -13814. Let o(v) = -2*v + 5. Let f be o(5). What is the biggest value in r, 3, -1, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -42 - (-1 - 32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*c - 39 + 12, 0 = 2*c - 10. Suppose -449280 = b + l*b. Let d = -29760 - b. Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7658 - 3901. Is 73 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.026509 > 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 22*u**2 + 21*u + 12. Does 12 divide l(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 61101415 and 61101417 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(130)*6)\/((sqrt(10) + sqrt(810)*-2)*-1))**2.\nAnswer: 46800\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:09 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -17*v + 23, -2*v = -5*q - 33 - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8360 + 8381. Solve -89*q = d*q - 330 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)\/3 + 2. Suppose 2*f + f - 297 = 0. Suppose 2*p - 150 = -3*g, 0*g + f = j*g + p. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 2*m + 11. What is c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4559 is divided by 379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, -3 in descending order.\nAnswer: -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29944*q**2*s**3 - q*s**3 - 2*q*s + 35*q - 32*s**3 wrt q.\nAnswer: 59888*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -1\/11, -39, -0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1) + (12 - 9). Determine j, given that 6*j**3 - 10*j**4 - 3*j**2 - 9*j**4 - 6*j**n + 22*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3913299 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + -2. What is the third smallest value in -2, p, -3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let c(x) be the first derivative of 0*x - 3\/2*x**2 + 5. Determine m(c(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126907, -254037, -381167, -508297, -635427?\nAnswer: -762557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3714030 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33153313 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*l = 28, 0 = 2*v - 5*v + 4*l - 8. Solve 0 = v*o - 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73469 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -27\/8 (c) 5 (d) -7\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k**3 + 4*k**2 - 4 + 4*k - 5*k + 15*k**3. Let d be z(3). Suppose 4*r + 521 = 3*l, -d*l - 5*r - 153 = -508. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 12, x: 1}. What is prob of sequence dkxk?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/3)*w)*w)**(-24))**(-2\/7) assuming w is positive.\nAnswer: w**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p**3\/9 + 4734742*p**2\/9 + 350276361116*p\/9 - 218924575210\/9 = 0.\nAnswer: -147961, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 278774\/1247 less than 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1507693075, -1507693077, -1507693079, -1507693081, -1507693083?\n\"Answer: -2*z - 1507693073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 146432 divided by -9152\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 24*n**2 + 59*n - 4. What is the lowest common multiple of 12\/5*40\/3 and j(-8)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5342 is divided by 1274.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10505*c**2 - 7*c + 6. Does 30 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1073, -915, -759, -605, -453, -303, -155?\n\"Answer: -b**2 + 161*b - 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 - 5*l**2\/2 + 3. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l. Suppose 2*h = -4*c - 20, -5*h = -h + 2*c + 10. Let y(v) = h*v + 3*v + l*v. Let d(o) = -o. Give y(d(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611228.\nAnswer: 2, 3, 134269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*k**2 - 7*k**2 - k + k to the form r + h*k + n*k**2 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -904126.9633606 and 0.58.\nAnswer: -904126.3833606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16)*(-432)\/(-5382)*13?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 17*o**2 - 22*o + 123. Let f be z(-15). Solve -3*v = 0, -f*j + 10*v = 7*v + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41846, -83691, -125536, -167381?\n\"Answer: -41845*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (-57 - (-1 + -47))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 198 + 4?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -21.9. Let o = -21.1 + s. Which is the nearest to o? (a) -2 (b) 3\/5 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-7)\/(35\/15). Suppose -8 + j = -n. Find the common denominator of -55\/36 and (-625)\/60 + (1 - (n + -4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 2*g**2 - 4*g + 7. Calculate w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/105 - 31\/105. Suppose 3*p - 5*p - 2 = -x, 4*p - x + 2 = 0. Is i smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31865 and -19.75.\nAnswer: -31884.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1974 and 19740.\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17481533 + 7\nAnswer: 17481540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798731023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -0*y + 5, -4*y = 2*k + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 4:34 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.25 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, -25, -2, 0.2, -1.47, -49?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 541?\nAnswer: 1\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**5\/30 + 11*h**4\/3 + 5*h**2\/2 + 11*h. Let i(v) be the first derivative of g(v). Factor i(m).\nAnswer: -2*m*(m - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157755\/7 + -190094628\/8435. Let b = 179041\/28920 + x. Find the common denominator of -77\/24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -504282*u. Let l(r) = 4*r**2. What is g(l(t))?\nAnswer: -2017128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 1.3171.\nAnswer: -4.6829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 21 = -3*r + 26, 0 = 5*r - 4*v + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14733.6517 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 41*r**2 - 40*r**2 + 3*r + 79*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 3) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1403 divided by -3.\nAnswer: -1403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/20*10*(-8)\/24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(-1 - 2)\/6. Suppose -2*m = 2*a + v, 0 = 5*m - a - 1 + 20. What are the prime factors of m\/(-10) - 4896\/(-85)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9273*g - 10896 = -9046*g for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 15 + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 61127.57s?\nAnswer: 61127570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 74 = 4*v, -3152*k + 127 = v - 3148*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 565*s**2 + 445*s + 68490. What is a(566)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -570751 - 973249. What is n rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 4*z**2 + 2*z**2)*(-3*z**2 - z**2 + 5*z**2) + (2*z + z**4 - 2*z)*(23 - 100 - 17).\nAnswer: -93*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728119565.\nAnswer: 5, 53, 2747621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 7040, 3, 5\/2, -0.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 502?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 16*q**2 - 569*q - 1591. What is r(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 331048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 606617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(25)\/sqrt(5))**2 + (4*sqrt(210)\/sqrt(7))\/sqrt(6).\nAnswer: 4*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**7\/280 - s**6\/24 - s**5\/5 + 3*s**4\/2 + 26*s**3\/3 - s**2\/2 + 184. Let b(y) be the third derivative of d(y). Factor b(r).\nAnswer: 3*(r - 6)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210.3 times 1\nAnswer: -210.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2791 - -4120. List the prime factors of c.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/38682 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96030439\/9156994 + 6\/59461. Let r = p + 75\/7. Find the common denominator of 357\/56 - (-1)\/4 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(99))**2*-2 + 0.\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 4. Let d(k) = 7*k - 9. Let h(v) = 4*d(v) - 9*w(v). Let f(o) = o**2 - 4*o + 2. Determine -f(z) - 3*h(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 415, 515, 615, 715, 815?\n\"Answer: 100*p + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -97 - 89 + 240 + 6*u**2 - 82 in the form w*u**2 + o*u + r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -2\/7 (c) -0.04 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.97 + -0.03. Let i = t + 2. Which is the closest to 0? (a) i (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -7, -29.831 in increasing order.\nAnswer: -29.831, -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkdfkkdkkd. What is prob of sequence fk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.416*3\nAnswer: -1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (77\/21 - 4)*-48. Suppose -v*w + 2887 + 5017 = 0. Does 38 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200120100 (base 3) in base 6?\nAnswer: -142400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -152. Let v(g) = -g**2 + g - 1. Let w(z) = z**2 + 6*z. Let f(h) = 2*v(h) - w(h). Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 71*f**4\/4 + f**2 + f - 7. Let y be g(-1). Let h = 158 + y. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m - 1. Let u(n) = n**3 - 2*n**2 + 2*n - 1. Suppose -5*d + 6 = p, 3*p + 0*p + 2 = -5*d. Let v be u(d). Is a(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*x**5 + 2*x**2 + 6\/5*x**4 + 0 - 3\/5*x - 12\/5*x**3 = 0. Calculate x.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(47645\/(-2915) - -16 - -4*(-4)\/(-44)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*r**3 - 174*r**3 + 92596 - 345*r**3 - 92596 - 28*r**3.\nAnswer: -627*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -145960.977 and -0.087?\nAnswer: 145960.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-4)\/(-24)). Does 26 divide (5 - (-1)\/5)*(-50)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60107000 to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 193, 287, 379, 469, 557?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 7*w - 2. Let x be k(-6). Suppose -x*i = -0*i - 8. Suppose 2*l - 16 = -i*l. Solve 3*t + 0*z + l = -z, 5*z - 19 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 - 3*r + 1. What is q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9*j + 1761 = 1860, 0 = d - 14*j + 143 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-2 - 0) + 12 - (-1020 - -1024)) - -76.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163729711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 - d - 1. Let a(y) = 4*y**3 - 33*y - 3. Calculate a(j) - 3*p(j).\nAnswer: -5*j**3 - 30*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(4860) - (sqrt(4860) - (sqrt(4860)*2 - sqrt(4860))) - sqrt(4860))*-6)\/(3*sqrt(240)\/sqrt(5)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(2\/3)*b\/(b**(7\/4)\/b))\/((b**(-2\/5)*b)\/(b\/(b*b**9)*b*b)) assuming b is positive.\nAnswer: b**(-301\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -814554.6 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34597 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1554, 2, -11, -3 in descending order.\nAnswer: 2, -3, -4, -11, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -920a - 3?\nAnswer: -9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198\/(-4)*20\/(-15) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/88 and 23\/39908.\nAnswer: 79816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(3)*-2.\nAnswer: -5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 37548*q - 75097*q + 37549*q - 565*q**3 - 2*q**4 to l*q**2 + y*q**3 + i + r*q + c*q**4 and give y.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(192))\/(sqrt(96)*-4) + 0)**2.\nAnswer: -2*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 719\/7. Which is the closest to m? (a) 1\/4 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:05 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1658713 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.100048 millennia to years.\nAnswer: 7100.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 - -169. Suppose x*v = -2*b + 220, 3*b = 4*v - 2*v + 292. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 5*i + 11. Let g(m) = -m. Let r(a) = g(a) + x(a). Is r(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - -2093. Let y = a - 1391. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -220799516.\nAnswer: 220799511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 4*l**2 + 6*l + 7. Let m be c(6). Let u = m + 49. Solve -4*s + u = -8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0. Let c = h + -0.06. Let g = 2022 + -2022.5. Sort -2\/9, 0.2, c, g in descending order.\nAnswer: 0.2, c, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b**2 - 8*b + 1. Let r(s) = 4*s**2 + 7*s - 5. Let m(f) = -7*f**2 - 14*f + 11. Let t(q) = 4*m(q) + 9*r(q). What is 5*g(i) + 6*t(i)?\nAnswer: 3*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - t - 6 = -2*t, -3*f + t + 19 = 0. Suppose 7*n - 5*n - 36 = 3*h, -132 = -f*n - 3*h. What is the highest common divisor of n and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -970 + 970.4. Put -9, n, 5 in descending order.\nAnswer: 5, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -32.624299.\nAnswer: 26.0994392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69738, -139479, -209222, -278967, -348714?\nAnswer: -418463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -21, -1, -0.5, 0.431 in increasing order.\nAnswer: -21, -1, -0.5, 0.431, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179\/20 - -7\/10. Let a = 8 + j. What is the second biggest value in -2\/7, a, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 18\/(-8). Let s be (-7 + 13)*(-1)\/d. Suppose -130 = -s*f + 14. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -0.59008?\nAnswer: 36.59008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/4826 and -9\/6080.\nAnswer: 772160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from onxvarvxxorxrrovxo?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 16. Let w be b(16). Solve 4*z = -5*h - w - 11, -2*h - 10 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30404 - -40?\nAnswer: 30444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(((-336)\/60)\/28))\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2491232, 2491240, 2491254, 2491274, 2491300?\nAnswer: 2491332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 9 = -8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 11. Let d be g(-3). Factor -2\/3*u**4 + 4\/3*u**3 + 0*u - 2\/3*u**d + 0.\nAnswer: -2*u**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34426363767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*v - 4, -4 = -4*k + 5*v - v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1223 in 0.1, 0.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**4\/12 - g**3\/6 + g**2\/2 - g. Let x(h) = -8*h**2 - 5*h + 7. Let y(o) = 14*b(o) - 2*x(o). Suppose y(i) = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.1? (a) -19 (b) 0.1 (c) -32362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 158.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.004? (a) -5 (b) 4 (c) 1711 (d) 1\/4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**2 + 3\/2*i + 1.\nAnswer: (i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-4)\/(-4))\/(1\/(-8)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 266 = -q + 796, 0 = 3*q + 4*t - 3156. Is 66 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -47*m - 46*m + 144*m + 2 - 53*m. Let i = 172 - 174. Let t(o) = -2*o + 3. What is i*w(a) + 3*t(a)?\nAnswer: -2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95353.4473778 + 0.183.\nAnswer: -95353.2643778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 104 = 24. Let k(f) = f**2 + f - 5. Let v be k(5). Suppose 15 = 3*a, 4*t + t = 3*a + v. Calculate the highest common factor of l and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95 + 19 + 4*b**2 + 92*b - 26.\nAnswer: 4*(b + 1)*(b + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 2*r**7\/105 - r**5\/15 + 3*r**2 + 7*r. Let u(q) be the first derivative of t(q). Determine k, given that u(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 2. What is the smallest common multiple of l(-12) and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-92892)\/30*(0 + -5). Let s(x) = -4*x + 37 - 15481*x**3 + q*x**3 + 3*x. What is s(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 6:13 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 2\/5*z**5 + 0*z**2 + 0*z**4 - 1 - 3*z + 0*z**3. Find the first derivative of v(q) wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3872536 - 0.75\nAnswer: 3872535.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66888, -535010, -1805588, -4279842, -8358992, -14444258, -22936860?\n\"Answer: -66870*i**3 - 8*i**2 - 8*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032 is divided by (-638592)\/(-4992) + ((-17)\/(-52) - (-3)\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0 + 1230\/17*n**2 - 2\/17*n**5 - 900\/17*n - 274\/17*n**3 - 54\/17*n**4 = 0.\nAnswer: -15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 3*i + t + 4*t, 0 = 3*t - 3. Let r = -20 + i. Which is greater: r or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 233\/413*((-50)\/12 - -3). Let h = 1\/118 - l. What is the second smallest value in 0.2, 0.8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -239 (base 14) to base 16.\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*t + 3 = -0*m, -5*m + 2*t + 2 = 0. Let g be 11\/((-110)\/6)*5\/8. Let o = -4.03 - -0.03. Which is the nearest to m? (a) o (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/763 - -1857\/763. Let c = -62 - -89. Find the common denominator of h and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*f - 610 + 10. Let n be (-7)\/(-1) + (-210)\/f. Which is bigger: 4\/239 or n?\nAnswer: 4\/239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose d - 4*d + 6 = p*v, 2*v - 24 = 3*d. What is the remainder when 17 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6259 is divided by 446?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2280, -4, 1, 82 in descending order.\nAnswer: 82, 1, -4, -2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 - 5. Let y(a) = -11*a**3 + 14. Suppose -36 = 4*s + q, s + 4*q + 24 = -0*s. Determine s*z(c) - 3*y(c).\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -215*u**2 + 5*u + 437*u**2 - 220*u**2 - 23. Let g be t(6). Suppose 2*k + 6 = 3*k + 3*w, 0 = 4*k + w - g. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19658449 is divided by 670.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(33\/(-2)) - 13\/11. Let k(b) = 4 - b - b + 7*b - 3*b. Let c be k(-5). Sort d, 3, c, 0 in descending order.\nAnswer: 3, 0, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - j**2 - 17 - 25 - 25 + 71 - j. Suppose -3 - 22 = 5*a. What is w(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7))**(-43)*(p**2)**(2\/3))**49 assuming p is positive.\nAnswer: p**(1099\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 + f. Let z(w) = -19*w**3 + 15*w**2 + 7*w. Let a(p) = 21*t(p) - 3*z(p). Find the third derivative of a(m) wrt m.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*c - 2 = 0, -3*k + 6*c = 659 - 653 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**9\/20160 + d**7\/1680 - d**5\/30 + d**2. Let y(w) be the third derivative of t(w). Factor y(n).\nAnswer: -3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6462174 is divided by 2154041.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -23*x**3 - 5*x**2 + 3*x - 2. Let v be c(2). Calculate the common denominator of (-206)\/600 + (-2)\/(-6) and (-335)\/(-4)*((-1216)\/v - 6).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73187 + -950588\/13. Let s = t + -65. What is the closest to 13\/2 in s, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -17)\/((-9)\/(-72))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(25\/(-20)) - -38. Suppose l*v + 294 = 40*v. Let p(c) = -c**2 - 6*c - 2. Let m be p(-3). Calculate the highest common factor of v and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 11\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h**2 - 27*h + 10. Let f(n) = 11*n**2 - 25*n + 11. Let k(g) = 3*f(g) - 2*w(g). What is k(19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -334, -500, -664?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 3 = -2*v + 2*l, -v = 2*l - 3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:22 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 - 16 = 0. Let f(d) = -4*d**3 - d**2 + 1. Let j be f(v). Suppose 0*z - j*z + 92 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:48 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -0.4 (c) 3 (d) 0.0531418\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (1 + -6 + -1) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -19*w + 7. Suppose 4*y + 20 + 4 = 0. Is i(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 490, 2997, 8876, 19519, 36318, 60665?\n\"Answer: 232*j**3 + 294*j**2 + j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 14*f - 13*f. Let x = 13 - 6. Suppose -x*o = -2*o - 50. Solve 4*l - f*l = -o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - g + 38 = -2*k, -3*g - 19 = 4*k. Let q = -4 - k. Find the second derivative of -16 + 16 - 2*j - 2*j**q wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3187600 - -11?\nAnswer: -318759a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:42 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.404983 less than -3.09?\nAnswer: -19.494983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -147 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5261 - 5255. Solve -15*x + d = -16*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15138, 29829, 44520, 59211, 73902?\nAnswer: 88593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 39*y**3 + 156*y**2 + 156. Let q(o) = o**3 + o**2 + 1. Calculate p(h) - 156*q(h).\nAnswer: -117*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/3, -4, 1, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 378 divided by -7\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -0.5. Let q = -0.02 + -0.28. Let h = 0.06 - 4.06. Put q, h, r in descending order.\nAnswer: r, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nknk when four letters picked without replacement from knnkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeev when four letters picked without replacement from {e: 9, i: 4, v: 6}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2501 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 5 + 5*y + y + 5*y**2 - 4*y. Let s be f(-4). Let m = -4 + 16. Solve -s*k = -0*k + m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/10 - (-17)\/5. Suppose 2*w + 2*t + 164 = 0, 3*w = w - 5*t - 179. What is the tens digit of (-2)\/8 - w\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -426, -433, -458, -507, -586?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1bc2c (base 15) to base 4\nAnswer: 112011330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-4)\/(1 - -1). Let r = -1 + 2. Let n(j) = -j**3 + j**2 + 1. Let l(s) = 5*s**3 + s**2 + s + 1. Let i(h) = r*l(h) + z*n(h). Give i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*i - 150*i + 80712 = 0. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-471*g + 491*g + 800*g)*(-2*g**3 - 3*g**2 + 3*g**2) + 4*g**3 + g**4 - 4*g**3.\nAnswer: -1639*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2)\/2*2. Suppose 15 = 4*v + 43. Let h be (-24)\/40 - v\/20. Sort 0.4, h, s in decreasing order.\nAnswer: s, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osf when three letters picked without replacement from oohosvvvofhhv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -6 - (2 - (1 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and 308221.93959?\nAnswer: 308221.96959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -29. Do k and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*b + 6. Let u(k) = 9*k**2 - 117*k. Let m be u(13). Solve 3*l - 4*x - 23 = m, l - b*x - 27 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.205 in 8, 1\/5, 3, 0, -11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532662 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j - 22*j - 32*j - 21*j + 92*j - 11*j**2 - 4*j**2.\nAnswer: -15*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -814 and -814 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + q + 3. Let u = 23 - 20. Let w be v(u). What is the greatest common factor of w and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-8)\/(-10))\/21. Let a(h) be the second derivative of -b*h**6 + 0 + 0*h**2 + 1\/70*h**5 - 2*h + 0*h**3 + 0*h**4. Find u such that a(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 11*w - 10. Let y be f(-12). Suppose y*j + i = 4*i - 10, j = i - 3. Let p(x) = -2*x - 1. Give p(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457113, 457125, 457151, 457197, 457269?\nAnswer: 457373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5 = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -797.42 and 2?\nAnswer: 799.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 2. Factor 0 - 3*g**5 - 2*g**3 + 6*g**4 + 8*g**3 - 6 - 24*g**a + 21*g.\nAnswer: -3*(g - 1)**4*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273280 = -63*l - 7*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 0.04. Let n = 3.94 - y. Let p = 0.1 + -0.1. What is the nearest to p in 1, 1\/8, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72\/12 - 2*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2761 + -1969. Suppose d - y = 544, 4*d - 5*y - 762 = 1419. Let b = l - d. What is the greatest common factor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4794\/((5*12\/(-30))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50082274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (21 - (0 - -17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/(-1520))\/((-5)\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 0) + -9)*1\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*n + 76853 + 13412 = 0, 4*n = -2*z + 36094. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - x**2 - x - 1. What is w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1304 and 197556?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/7605 and 29\/4329.\nAnswer: 281385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 435*g**2 - 855*g + 425.\nAnswer: -5*(g - 85)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/20 + (-3)\/15)\/(477 - 472).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -3.\nAnswer: -116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 77*j**2\/2 - 78*j.\nAnswer: j*(j - 156)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x - 8 - 2 + 4. Determine b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38135 + -38134.7. Let n = -0.05 + -0.15. Let k = n + 2.3. Which is the third biggest value? (a) 0.1 (b) k (c) -5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/33 and -89\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqo when three letters picked without replacement from {q: 4, o: 8, i: 2}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291.6968 + 309.7963648. Let m = -18.1 + c. Round m to five dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 1, 80.5, -117, 0, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67681.47 days to seconds.\nAnswer: 5847679008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + 768\/56. Suppose v + 51 = 5*j. Let a = 41 - j. What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 76 = 8*u. Let z be 22\/(-8) - u\/(-36). Sort -2, z, 1 in decreasing order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-18)\/32)\/3\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)\/(y\/(((y**(-1\/11)*y)\/y)\/y)))\/((y*y\/y**(-8)*y)\/y*y*y*y**(-2\/9)*y) assuming y is positive.\nAnswer: y**(-2647\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940621578 divided by 313540526.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q - 12. Let y(l) = -56*l + 63. Let i(p) = -21*f(p) - 4*y(p). Let h(m) be the second derivative of -m**3\/6 - 2*m. What is i(h(u))?\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 933371 = 806629. What is n rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2038 - -4167\/2. Calculate the common denominator of y and 77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01000945 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 3:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 1. Let r(g) = 2*g**3 + 2*g**2 - 7*g + 2. Let x(p) = -3*l(p) - r(p). Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2121 and 3219888?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -5, 3, 17, 37, 63, 95?\n\"Answer: 3*k**2 - 7*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + n + 13 = 0, 0*f + 4*f + n = 11. Let s(y) = -y**3 + y**2 + 3. Determine s(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (16 + -24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72*(8 - (1 - -2)). Let o be (4\/5)\/(4\/y). Suppose -2*g + 27 = g. What is the greatest common divisor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*s + 260*s + 3224 = -267*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*2.24\nAnswer: -8.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/189 (b) 2.5 (c) -10\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 s when three letters picked without replacement from {s: 5, x: 2, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2628 = -7*s + 2705 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416389?\nAnswer: 416389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.5, -5, 0.18, 0.4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 11, q: 6}. Give prob of picking 2 q and 1 o.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f. Let n(j) = -j**2 - 811*j - 10. Determine n(l) + 3*s(l).\nAnswer: -l**2 - 805*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 53, 81, 109, 137, 165?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-881)\/9691 + (-1)\/((-22)\/24) and (1\/(-2))\/(2\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4208 is divided by 187?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2) - (-1470 + 109) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*j**3 + 18*j + 7*j + 50 - 28*j**3 wrt j.\nAnswer: -6*j**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/2 - 5245*d**2\/2 + 135048*d = 0.\nAnswer: -5296, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:58 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.03 (b) 2\/5 (c) 2 (d) -7\/4 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + (-7 - (-16 - -11)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 2*l - 25, -l + 3*z = -20. Suppose -2 = h - 0*h + n, 4*h + l*n + 11 = 0. Let g(w) = 17*w**3 - w + 1. List the prime factors of g(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -37\/18776?\nAnswer: -37\/18776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-11))\/(-6)*(-4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*p**3 + 179*p**3 + 565*p**3.\nAnswer: 591*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, 5.13, -4, -50, 0.29, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**2 - 2*w + 5. Calculate u(4).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -636, 2, 29.59 in decreasing order.\nAnswer: 29.59, 2, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/20 - 7*j**4\/12 - j**3 - j**2\/2 + 14*j. Is c(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, -35, -164, -417, -836, -1463, -2340?\n\"Answer: -7*o**3 + o**2 - o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -86. Let b(j) = f*j + 17*j + 7*j. Let t(r) = 2*r**2 + 7*r - 7. Let i(x) = -x**2 - 4*x + 4. Let l(n) = -7*i(n) - 4*t(n). Determine l(b(v)).\nAnswer: -961*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.031475 years?\nAnswer: 0.9031475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 0, -2*m + 4 + 2 = -j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15960.5 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5955 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131\/2 - -69. Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339068 to the power of 1\/2, to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/157 and 0 + (-5)\/(-2355) + (-1)\/(-6).\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10527 + 21777\/2. Is a > 363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 607*m + 10 - 18 - 8 to the form y*m + u and give y.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.359495l to millilitres.\nAnswer: 4359.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jythuhd. Give prob of picking 1 y and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, e: 3}. Give prob of sequence eooe.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1217563?\nAnswer: 1217563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:45 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 - -780?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 55 - 111 - 171)*(2 - 2 - 1)*(-3*i + 2*i - i).\nAnswer: -536*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 80236 + 160604 = 80268 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -25. What is the least common multiple of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 36. Let f be w(-10). Let o be 24\/(-8) - (-2)\/(f\/(-155)). Let u = 48 - o. Is u less than 15\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 18. Suppose 2*t = -0*t - 2, 5*o - 51 = t. Let y = o - x. Solve 0 = y*r - 5 + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37360375 + -106.26\nAnswer: -37360481.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -122*z**3 + 21*z**2 - z - 1. Determine v(2).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2586 * 2.7.\nAnswer: 6982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g + g**4 - 4*g + (-g + 3 - 3)*(-4*g**2 + 4*g**2 + 10*g**3) + 0*g**4 + g**4 + 0*g**4 to the form l*g**4 + p + d*g**3 + s*g + y*g**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)*o*o*o*(o\/((o\/(o**(-14\/5)\/o))\/o))\/o*o)\/(o**(-5\/6)\/(o\/(o\/(o\/o**(-6))))) assuming o is positive.\nAnswer: o**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 - 4*n**3 - n**2)*(13407 + 11491 + 5296 + 191 - 8689 + 12698) to the form l*n**2 + s*n + c*n**3 + r and give c.\nAnswer: -137576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388060 is divided by 1824.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1571508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/8911?\nAnswer: -17\/8911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from gbeegemggegggegeg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m + m**5 + (-3 + 3 - m)*(3*m**3 - 3*m**3 - m**4) - 2*m**5 - 2*m**5 + 5*m**5 + 4*m + m**5 - 4*m + 11649*m**5 - 40*m - 11646*m**5 - 64*m - 9*m**2.\nAnswer: 7*m**5 - 9*m**2 - 104*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*-2 - sqrt(21) - (sqrt(210)*2 - sqrt(210))\/sqrt(10))\/(-5*(sqrt(192) + sqrt(192)*-1*2)))**2.\nAnswer: 343\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**3 - 27*c**3 + 62*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9866.47 tonnes?\nAnswer: 9866470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 88, 188, 286, 382, 476, 568?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2. Let n(z) = -2*z**2 - 3*z - 3. Let s(m) = m**2 + m + 1. Let u(l) = n(l) + 3*s(l). Calculate y(u(g)).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*b - 765 = 256*b - 478*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2763596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4754.04 days to seconds.\nAnswer: 410749056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/74 + -257\/148. What is the biggest value in 4, -4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -10745.\nAnswer: -1\/10745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqllqdqqddqqqdklq. What is prob of sequence lqd?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-21 + 22 - 14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16134351, 32268694, 48403037, 64537380, 80671723, 96806066?\n\"Answer: 16134343*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.222 - 0.578. Round j to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6379693?\nAnswer: 6379693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 23165*g\/2 + 46331\/4.\nAnswer: -(g - 46331)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2 - 1. Let w be 2 + -8 - (-2 - 1). Let z be ((-8)\/20 + 0)\/(w\/15). Let q be m(z). Solve 4*a = 3*g + q, -2 = -2*g - 3*a - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/5 or -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-4)\/(-121)) + 5. Are -116 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, 8808, -0.09, 5\/6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128444 is divided by 32099.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.27 (b) 1\/4 (c) -5 (d) 6 (e) -5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 166*t**3 - 11643*t**2 + 111920*t - 272272 = 0. Calculate t.\nAnswer: -221, 4, 7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20003202330 + 1012?\nAnswer: 20003210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -670.76 - 121203.7377?\nAnswer: -121874.4977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3743, -3742, -3741, -3740?\nAnswer: -3739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4108.1099 and 0.2?\nAnswer: -821.62198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose 0 = 3*z + 2*w, z + 19 = 6*z - 3*w. Let h = z - r. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/150)\/(8\/70)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 707, 1059, 1961, 3689, 6519, 10727?\n\"Answer: 46*o**3 - o**2 + 33*o + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 2. Determine z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**0)*a**(-1\/4)*a)\/(a*a\/(a**(-1\/5)\/a)*a\/a**1)*(a\/(a\/a**1))**20\/(a\/a**(-1\/2)*a)**(-2\/59) assuming a is positive.\nAnswer: a**(20809\/1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -463*p**2 + 87050*p + 159. Determine k(188).\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y + 1. Suppose -10*c - 1 = -41. Let v(b) = -5 + 2*b - b**2 + 0*b - c*b - 2*b**2. Give 4*f(k) + v(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q = -44 - 58. Put 10, q, -13 in descending order.\nAnswer: 10, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 67 = -g. Solve 4*a - 6*a = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5787 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 72*k**2. Let n(l) = 6420*l**2. What is c(n(x))?\nAnswer: 2967580800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1, 2\/5, 38, 15, 3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 99*i**2 - 50*i + 209. Calculate n(-49).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-a**4 + 4*a - 4*a + 0*a**4 + 2*a**4 - 4*a**4 + 0*a**2 + 0*a**2 + 2*a**4 + (-3 + 3 - 2*a**3)*(-5*a + 3*a + 0*a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 926755 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 297997*w - 203 + 69 + 66.\nAnswer: -297997*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 851823 + 28376.0367.\nAnswer: 880199.0367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {v: 3, w: 4, o: 4, y: 2, j: 3, b: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -67*l**2 + 5*l - 29. Let z(d) = -67*d**2 + 4*d - 28. Let b(v) = -4*p(v) + 5*z(v). Differentiate b(f) with respect to f.\nAnswer: -134*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*q - 18, -2*q - 17 = 5*l - 4. What is the closest to 0 in -3\/5, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13304, -10740, -8176?\n\"Answer: 2564*k - 15868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16309300 to the nearest ten thousand.\nAnswer: -16310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -45 + -68 + 95?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186.645*1659.\nAnswer: 309644.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 3, -0.0013 in decreasing order.\nAnswer: 3, 0.1, 0, -0.0013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11473*b**3 - 3049*b**2 + 1.\nAnswer: 68838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2708*c**2 + c + 6.\nAnswer: 5416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273 + -271.79. Let f = l - 1.21000215. Round f to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 15*v - 2*v**3 - 7*v + 30*v - 7*v - 2*v**2 to d*v**3 + l*v**2 + h + c*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*o, -3*o + 8*o = -4*w. Suppose o = g - 413 - 507. What are the prime factors of g?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5302 - -5345. Solve d*k = 10*k - 66 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-1)\/10 + 253\/5. Let l = 72 - y. Calculate the highest common factor of 143 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**2 - z**2)*(-25 + 24 + 14 + 5 - 3 - 1 - 3 - 1 + 2 + (1 - 1 - 1)*(-5 - 1 + 4) + 0 + 2 + 0).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let i = 12 - 16. Let g = 9 + i. Put g, 0.3, y in increasing order.\nAnswer: 0.3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*sqrt(128))**2 + -4 + sqrt(128)*1)*-1.\nAnswer: -1148 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 + 284 = 44*m. Solve -3*g + 6 = 0, -m = 2*d + g - 3*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8644 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225528530.\nAnswer: 2, 5, 22552853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5428260 rounded to the nearest ten thousand?\nAnswer: -5430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -9. Put 3, -1, k in decreasing order.\nAnswer: k, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a - 2 - 231*a + 35*a**3 + 17*a + 194*a + 3*a**4 as b + q*a**3 + s*a + y*a**2 + c*a**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 - 150.6. Let z = 20.9 - 22. Let h = f - z. What is the second smallest value in -0.2, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4. Let x(p) = -p + 17. Suppose 5*v - 1 = 5*g - 16, -25 = 5*v + 5*g. Let q(f) = v*x(f) + 18*m(f). Differentiate q(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 305 = 2*a - 5*i, 5*a - 332 = 4*i. Calculate the remainder when a is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/g**(-3))**(-13\/4))**(6\/11))**0)**(-3\/19) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/12 (b) 1\/4 (c) -0.1 (d) 24\/67 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 43036*r - 7 - 43038*r.\nAnswer: -2*r + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 5*j + 4. Suppose 4*r - 5*d = 27, 2*r + 4*d - 27 = -7. Suppose 2*l + r = -2*l. Let f be k(l). Solve -30 = 4*u - f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68781522 divided by 6\nAnswer: 11463587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 - -6. Let y = -19 + 19. Which is the third smallest value? (a) j (b) y (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 27*g - 34. Let z(k) = -k**2 - 25*k - 36. Let d(h) = 3*m(h) - 2*z(h). Let v be d(-30). Solve -3*q + 9 = -v*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 18 - 4*c**2 + 2*c**2 + 0*c**2 + c**2. Suppose -2*b = 3*b. What is the least common multiple of q(b) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 21*d = -464. Let b be d\/(-10) + (-3)\/5. Calculate the greatest common divisor of 77 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2736) + sqrt(2736) + -4 - sqrt(76)\/(sqrt(4)*-5)) + (1*2*sqrt(152))\/(2*sqrt(800)))**2.\nAnswer: -1944*sqrt(19)\/5 + 1123531\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 40*v**3 - 9*v + 15. Let z(j) = -40*j**3 + 7*j - 12. Give -4*u(o) - 5*z(o).\nAnswer: 40*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (-102 - -103)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = i + 4*h, 2*i - 4*h - 1 = 3. Suppose 0 = i*x - 1656 - 4720. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*i - 14. Let x(k) = k**2 + k - 1. Let z(y) = -8*y**2 - 10*y + 7. Let d(l) = 18*x(l) + 2*z(l). Determine d(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7962?\nAnswer: 2, 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 11. Let v be 5\/(30\/27) - (-3)\/(-2). Suppose -v*d - 27 = -s + 2*d, 0 = 2*s - 5*d - 29. What is the smallest common multiple of o and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 5033*q + 6 - 15 - 2787*q.\nAnswer: 2246*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 3*k**3 - 4*k**3 - k + 15. Let b be t(0). Suppose 4*l + b = -l. What is the biggest value in 1, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 5)*(-11*a**4 + 4*a**3 + 10*a**4 - 14*a**3).\nAnswer: -6*a**4 - 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 36351281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30.9 in 14\/5, -0.6, 0.1, 2\/17?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2369 + -93. List the prime factors of y.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k. Let f be c(-3). Suppose -2*g + 4*g = -f. Let b = -7 - g. Solve -8 = s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 6*c**2 - 4*c**2)*(-5017*c**2 - 318016*c + 318016*c).\nAnswer: -5017*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -659*q**2 - 662*q**2 - 666*q**2 + 1985*q**2 + 2276*q to the form n*q + v*q**2 + d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2 + 54*v + 4. Let c(s) = -8*s**2 - 60*s - 5. What is -5*c(j) - 6*w(j)?\nAnswer: -2*j**2 - 24*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at most as big as -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66599)\/763 - -85)\/(-2*1\/70).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 24. Let g be k(-7). Let x(j) = 6 + g*j**2 + 10*j - 3*j - 10 - 2*j**2. What is the hundreds digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9338?\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/h**(-5))\/h)\/(h*h\/h**(-2\/5)*h))**(2\/37))**(-37))**(-24) assuming h is positive.\nAnswer: h**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 241674929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/8 > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*100\/3375 - (-2)\/(-3). What is the second biggest value in j, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(1\/(3\/2)). What are the prime factors of 222\/11 + x*6\/33?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -826, -7449, -25652, -61225, -119958, -207641, -330064, -493017?\n\"Answer: -965*u**3 + 132*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*o**3\/3 - 247*o**2\/3 + 109*o + 465.\nAnswer: -(o + 3)**2*(67*o - 155)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7717423.99 rounded to the nearest one hundred thousand?\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -0.2. Let f = 27781713.76999957 - 27781714. Let y = f - r. Round y to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-2 - (-32)\/4). Suppose -5 = 5*k - y*k. Suppose -p = 2*o + 3, 4 - k = -o - p. Solve -3*l + 3 = -o*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 2*h**2 - 2*h + 19800000. Let q be t(0). Round q to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29975.79 from -2.9.\nAnswer: -29978.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 493 - 514. Which is greater: -26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 11. Let l be z(20). Let g be 2 - 18*l\/6. Let k = 34 - g. Solve k*c - 12 = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((580\/(-261))\/(-5))\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:26 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:31 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 259977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 73 = 3*y, 3*y + 21 = 6. Suppose 0 = 9*g + 13*g - 110. Suppose -g*n + 232 + o = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 242 or 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*-1)\/(-8)*1. Let i = 2 + -1.6. Let n = 2.6 + i. What is the closest to s in n, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -1, -50, 1\/6.\nAnswer: -50, -1, -0.03, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43359269840 - -4.\nAnswer: -43359269836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 246.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34869*b**3*k**2 - 3*b**2*k**2 + 3295*b*k**2 wrt b.\nAnswer: -209214*b*k**2 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9891.294 centimeters to millimeters.\nAnswer: 98912.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 8*h**2 + 3*h - 5. Let b = 6 - -2. Let u be p(b). Calculate the greatest common factor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + sqrt(17) + -3 - 2*sqrt(51)\/sqrt(3))**2*6.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -10*x + 13. Let k(p) = -29 - x*p + p + 10*p. What is the units digit of k(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160\/9 + 22\/9*t - 2\/9*t**2.\nAnswer: -2*(t - 16)*(t + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -96. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b\/b**(-4\/7)*b)**(2\/29)*(b*b\/(b\/b**(-2\/9))*b*b\/(b*b**2*b))**(-1\/2) assuming b is positive.\nAnswer: b**(1369\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325 + 329. What is the closest to -1 in 9, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692807?\nAnswer: 449, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 10*h**2 - h + 7. Let w be c(5). Suppose -8\/5 + 8\/5*z - 2\/5*z**w = 0. What is z?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21729329 is divided by 4732.\nAnswer: 4717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kklilulkkxlbilllklkx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 6306755483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqwddtxqtdxdq. What is prob of picking 1 t and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -6, -3, 0.15 in increasing order.\nAnswer: -6, -3, 0.15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(27) + -4 + sqrt(3) - ((2*sqrt(243))**2 + sqrt(243))).\nAnswer: -981 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1582*v**2 + 2127*v**2 - 1113*v**2.\nAnswer: 2596*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/305 and 49\/3721?\nAnswer: 18605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(114)\/(sqrt(24)\/sqrt(4)) + 3)**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.0919, 43, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w + 5*w - 11*w + 6*w - 13*w. Let z(t) = -16*t**2. Calculate r(z(k)).\nAnswer: 464*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(325) + -3))**2.\nAnswer: -30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*m**3 - 1221*f**3*m + 202*f**3 - 708273*f**2*m - 4*f*m**3 wrt f?\nAnswer: -6*m**3 - 7326*m + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 6305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*1*3*sqrt(119))\/((sqrt(84) - (sqrt(84)*-2*-3 - sqrt(84)))\/(sqrt(192)*-5)).\nAnswer: 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. Suppose d*i + 3*o + 0 = 1, 3*o + 23 = 2*i. Solve -i*a = a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4533589271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3974 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 9*m - 6. Let u(b) = 2*b. Let r be u(-4). Let i be a(r). Suppose -3*h + 0*h = 0. Solve 0*v + i*v + 3 = 3*s, h = -s - 5*v + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/149096 and -51\/11.\nAnswer: 1640056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 271, 314, 373, 448, 539?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 - 6*l - 5. Let r be m(7). Sort -6, -5, r in increasing order.\nAnswer: -6, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271498 is divided by 700.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t*v**2 + t*v - 164*t - 13134970*v**4 + 13*v + 456 wrt v?\nAnswer: 2*t - 157619640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 3 - 3)*(2*w**2 + 3*w**2 - 3*w**2) - 77*w**2 + 77*w**2 - 17*w**3 - w + 0*w**3 + 13*w**3 + 0*w to the form r + t*w + a*w**3 + z*w**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + 0.9. Which is the third smallest value? (a) -3 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -6935489?\nAnswer: 6935489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -472, -516, -560?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02984 - -0.028. Round v to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2, 5*w - 20 = -b - 4*b. Which is smaller: w or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620 = 135*g - 1565 - 3105 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1677*f + 1676*f + 1671*f - 5024*f - 255*f**2.\nAnswer: -255*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18029?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(4\/5)*v\/v**(-1\/3))\/(v*v**(-2\/7)*v*v*v\/v**0) assuming v is positive.\nAnswer: v**(-124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/((-72)\/(-40))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnonm. What is prob of sequence oxn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 56, 11, -2\/17, -2, 3.\nAnswer: -3, -2, -2\/17, 3, 11, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5297 - 9193 = -204*c - 141*c for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f + 17*f - 9*f + 8*f + 6 - 6.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 804, 1332, 1860, 2388, 2916?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y + 2*t + 7, y - 3 = -5*t. Let a(c) = -3*c**2 + c + 3 + 1 - 2 + 2*c**y. What is the lowest common multiple of 4 and a(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllvlllllvlklkv. What is prob of picking 1 l and 2 v?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c64cf (base 16) in base 6?\nAnswer: -103514515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-59 + -1 - ((-4 - -6) + 4)) + (66 - 60)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {c: 1, l: 8, a: 2, h: 1, q: 1, z: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a + 220 = 0. What is the highest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (403 - 421 - 934 - 329 - 325)*(-2*n + 7*n - 4*n).\nAnswer: -1606*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143)*2 - sqrt(143))\/(-5*sqrt(44)).\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 405192.\nAnswer: 1215576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:58 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 j when three letters picked without replacement from {j: 7, p: 1, a: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/120 - l**5\/40 - l**4\/4 - 5*l**3\/6 - 4*l**2. Let c(g) be the first derivative of h(g). Factor c(u).\nAnswer: 3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -3.33, -2\/11, 0.89?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -2) + 1 + -1 - -14. Let k be -1*194*9*(-2)\/j. Suppose 0 = -5*t + b + 296, 3*t - k = -2*t - 4*b. Does 40 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:00 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.7 + 5.\nAnswer: -36.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 120. Let n be ((-116)\/(-6))\/(d\/(-405)). Let s = n + -175. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-67)\/(-3) - (-6)\/18 and -99\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14396, 14040, 13446, 12614, 11544?\nAnswer: 10236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203440182.\nAnswer: 2, 3, 11, 19, 53, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/43 greater than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6012161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t**2 + t + 5. Let i be b(-2). Let p = -49 + i. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*r = r + 27185, -21748 = 4*k - 4*r. Is (32\/4)\/(-8)*k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10221 + 907792.\nAnswer: 918013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.4.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 80*d - 268. Calculate q(36).\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9078166 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071 = -245*t - 525*t - 21861 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20220 + 12000?\nAnswer: 102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 24. Suppose 4*o - 3 = p*o. Solve 3*v = 4*s - s + 21, o*s + 17 = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -1, -15, 10, 5, 4, -205 in increasing order.\nAnswer: -205, -24, -15, -1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - 24*f**3 + 582*f**2?\nAnswer: -120*f**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -4*x + 15. Calculate the highest common divisor of x and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1187.0026 to 1 dp.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 441*v**3 + 101*v**2 + 9*v - 4. Let j(p) = 110*p**3 + 25*p**2 + 2*p - 1. Let g(n) = -2*f(n) + 9*j(n). Find the third derivative of g(c) wrt c.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -14. Let g be ((-2)\/10)\/(2\/(-25)). Let a be 1\/(-3)*(-18)\/8. What is the second biggest value in u, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/3*(-1467)\/(-1956).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74672 by -9334.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*x - 151*x = 16. Solve 3*l - 4*l = -x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 6 + (5 - 23). Let k be 2\/p*(-28)\/24. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 13, w: 5}. Give prob of sequence wbww.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27277361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 1, g: 1, f: 1, u: 2, s: 1}. Give prob of sequence st.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 369719 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnzn when four letters picked without replacement from {z: 1, n: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3228 divided by 4.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 28 = -13*c. Suppose -m + 0*o + o - 7 = 0, -c*o = 4*m + 12. What are the prime factors of 9\/(15\/m) - -18?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c08 (base 16) in base 3?\nAnswer: 222200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000113137 rounded to seven decimal places?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-22 + -9 + 49).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5228284, 10456568, 15684852, 20913136, 26141420, 31369704?\n\"Answer: 5228284*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 19*d - 7. Let u be n(-6). Let j be 0 + -2 - (-2 - -127). Let f = u - j. Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -82 - (37 + (-58 - (-36 - -2)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 15*b + 28. Let c be i(13). Let x(d) = -d**3 + d**2 + 5*d - 6. Let f be x(c). Suppose -o - 2*o + 342 = f. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112.9893 - 113. Let t = m - 0.0593. Let y = -5 - -8. What is the second smallest value in -1\/5, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 5 + (134 - 134)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5c23 (base 16) to base 7\nAnswer: -125524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d**4 + d)*(-1926*d - 4360069 + 4360069).\nAnswer: 1926*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 (base 9) in base 11?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 335.2959 micrometers?\nAnswer: 0.03352959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -412680 to the nearest one thousand.\nAnswer: -413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - -2.5. Let o = 0.8 + p. Let r = o - 5. Which is the closest to -2\/7? (a) -0.4 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -57. What are the prime factors of q - 3*((-159)\/9 + -3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**(-22\/7)\/u*u)\/u*u*u*u)\/u)\/(u\/u**34*u))\/(((u*u\/((((u*u**(1\/2))\/u)\/u)\/u))\/u)\/(u**(-3\/23)*u)) assuming u is positive.\nAnswer: u**(9411\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 6 - (13 + (5 - 3)) - -50?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 11\/(-22)*100652 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5419594 or -5419590?\nAnswer: -5419594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/(o*((o\/(o\/o**(2\/19)))\/o*o)\/o*o)*o**(2\/3)*o*o\/(((o*o\/o**(-1\/6)*o*o)\/o)\/o))**(1\/30) assuming o is positive.\nAnswer: o**(281\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 17, 17, 19?\n\"Answer: o**2 - 5*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -288*r**2 - 1. Let v(p) = p. Give f(v(n)).\nAnswer: -288*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-1)\/((-24)\/3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*158.\nAnswer: 6478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {o: 5, a: 2, r: 7, l: 2, c: 1, y: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45*h**3*y - 66830732*h**3 + 4*h**2*y + 89122*y wrt y?\nAnswer: -45*h**3 + 4*h**2 + 89122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3416 and 680876.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(96) + sqrt(96)*-2))\/(sqrt(8)*-1*2)*-4*4.\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 13) to base 15.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:21 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w + 5*u - 0*u, 2*u - 4 = 0. Let x be (-9)\/w + (-70)\/14. Suppose -x*y + 95 + 737 = 0. What is the remainder when y is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145 (base 6) in base 10?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -25, -31, -37?\n\"Answer: -6*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26032.014 months?\nAnswer: 2169.3345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-5) - 4\/20. Let i(v) = -4*v + 4*v + 6*v**o. Let h(u) be the first derivative of -u**2\/2 + 2. What is h(i(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -22. Let i be 0*(-2)\/(-1 + -1). Suppose i = -3*d - 12 + 36. Solve 0*r - o*r = -d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 + 260. Let g(f) be the second derivative of -f**5\/20 - 5*f**4\/12 + f**2 + f + 8. Give g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 133 + 40 = 0. Let z = g + 1. Calculate the remainder when 62 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120\/187 - 14\/17. Let v = 1.79 - -2.21. What is the third smallest value in 2\/25, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 11:36 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - 4*c)*(198*c - 103*c - 143*c - 3).\nAnswer: 48*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**5 + 1281*z**4 - 8*z**3 - 2*z**2 + 40329*z + 6 wrt z.\nAnswer: -360*z**2 + 30744*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/120 - z**5\/60 + z**4\/24 - z**3\/2 + 172*z**2 + 1. What is h(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 5*q**2 - 6*q + 7. Let f be v(7). Suppose 5*x + 106 - f = 0. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 j when four letters picked without replacement from jpppppppppppjppj?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -972.1 + 974.1. Put r, -8\/7, -2, -0.4 in descending order.\nAnswer: r, -0.4, -8\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -78*(-4 + 3). Let w be 1*2*(-38)\/(-4). Calculate the highest common divisor of s and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74252325 divided by 3?\nAnswer: 24750775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:19 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 90 and 1041?\nAnswer: 93690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**7\/2520 + p**5\/120 + p**4 - p. Let m(c) be the third derivative of n(c). Factor m(h).\nAnswer: -(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 12*d = -532. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -514 + 973 - 459 + 2*w. Let j(y) = -132*y**2 + 9. What is j(u(p))?\nAnswer: -528*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 19. Let c(l) = -2*l - 10. Let y = 2 - 5. Let v(m) = y*t(m) - 5*c(m). Suppose 20 = -4*x - 0*x - 2*h, 0 = -2*x - 3*h - 10. Calculate v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-1\/3)\/m*m)\/m)**(-8\/11)*m*m**(4\/5)*m*m\/m**(2\/11)*m assuming m is positive.\nAnswer: m**(802\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9414 = 100*m - 31386. Calculate the highest common factor of 4386 and m.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -3)*1 - (-21)\/(-3). Let i be 2 + 9 + -5 + w. Let l(j) = 4*j**2 - 3*j - 2. Determine l(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -25?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4*t**3\/3 - 8*t - 3. Differentiate a(m) wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 138 - 51 - 42 + 7*j**2 - 124*j to the form f*j**2 + i + l*j and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-1)\/(44\/(-146)) and 59\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Let m = v + -2. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/60 - m**4\/24 + 7*m**3\/6 - 5*m**2. What is the tens digit of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - sqrt(180)*2)\/sqrt(4).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6965 and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44693 is divided by 4964?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 402*s**2 + 158*s + 19. Is c(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170891*i**3 - 326928*i**2.\nAnswer: 1025346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3328.999997909 + 3329. Round p to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770 and 1888894.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-156)\/180 - (-2)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 1.19 in decreasing order.\nAnswer: 5, 1.19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0, 26, -3.\nAnswer: -3, 0, 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**3 - 60*b + 60*b)*(0*b + 4*b - 5*b + (5 - b - 5)*(-88 + 53 - 160)) to o*b + w*b**2 + r + a*b**3 + v*b**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:26 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/20)\/((-18)\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) 11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4 = -4*z, 18869*f = z + 18871*f - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4860 by 36.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39614.7 - -0.02.\nAnswer: 39614.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f - 7. Suppose -3*b - 4*n - 5 = -2*b, 0 = 5*b + 4*n - 23. Let o(v) = 4*v + 2. Let u(x) = -1. Let a(w) = -o(w) + u(w). Determine b*a(p) - 3*l(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c828d + -e?\nAnswer: -4c829b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(-4 + (1*sqrt(4050))\/(sqrt(90)\/sqrt(9)*2))**2.\nAnswer: -457\/4 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 324.3 and -11.289.\nAnswer: 313.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let v(c) = -2*c + 5. Let y(z) = 3*z - 6. Let u(a) = -4*v(a) - 3*y(a). Let k(q) = -1. Let h(d) = 2*k(d) - u(d). Calculate l(h(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 64*c + 831. Determine f(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -4 - 0 - -77. Find the common denominator of 9\/45 - (-169)\/u and -31\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -304277198?\nAnswer: 304277198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-145) + (14\/(-170))\/1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (0 - 6\/(-2)). Suppose 0 = p - 3*m + 2*m - 3, t = -5*m. What is the lowest common multiple of 5 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46853*l - 26361 wrt l?\nAnswer: 46853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let n be ((-1)\/(-2) + -1)\/((-2)\/24). What is the smallest common multiple of v(5) and 0\/(3 + -5) + (n - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxbhchhxh. What is prob of sequence cx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 7*x**2 + 5*x - 1. Let w be b(-6). Suppose 1 = -0*y + y. Suppose 3*s + 5*z - 3 = 0, y + 4 = w*s + 5*z. Which is smaller: -1\/3 or s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/10 - 5*b**4\/4 - 5*b**3\/6 - 7*b**2 + 17*b. Let c be h(8). What is the highest common divisor of 130 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*o**2 + 0*o - 63 + o + 40*o**2 + 0*o wrt o.\nAnswer: -54*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)\/c*c*c)\/(c\/c**(3\/2)))\/(c**(-4\/13)*c**(-1\/11)) assuming c is positive.\nAnswer: c**(1915\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13*z**2 + 5 - 5.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119\/9? (a) 3\/5 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12449 - 12448. Solve 0 = 250*c - 251*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.105, -0.2 in descending order.\nAnswer: 5, -0.105, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 20*o + 36. Give n(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*r**(-26)*r)\/r*r\/(((r**(-9)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3399, 6363, 8979, 11241, 13143, 14679, 15843?\n\"Answer: -f**3 - 168*f**2 + 3475*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68.98661 - -57.98661064. Let v = 8.6 + 2.4. Let c = u + v. What is c rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0 - 3*g**3 - 3 - 2 + g. Let x(c) = -450*c**2 + 6 + 450*c**2 + 4*c**3 - c. Calculate 6*v(o) + 5*x(o).\nAnswer: 2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u*u**3*u)\/u)\/u**(2\/11))\/(u**1\/(u\/u**(-1\/2))))\/((u**(-8)\/((u\/(((u*u**4)\/u)\/u))\/u*u*u))\/((u\/(u**3\/u))\/u**(-3\/4))) assuming u is positive.\nAnswer: u**(575\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + w + 2. Let k be f(3). Suppose -26*c = -k*c + 809985. Let j be -2 + (c - (-9)\/(-3)). What is j rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vveeveveeeevvv. Give prob of picking 2 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.42. Which is the third smallest value? (a) x (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Let j be (12 - o)\/(6\/8). Let y = 0 + 2. Solve -y*b - j = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8458a (base 11) to base 6\nAnswer: -2350055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7071 is divided by 189.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2749399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 86 - x)*(-3 + 2 - 5)*(-1 + 2 + 1)*(-2*x**4 - 2*x + 2*x).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549910*n + 1045 = -549965*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26152 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 + 4*l - 12. Give a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 13*w**2 - 29*w + 75. What is a(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1315330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2 + 3) + 30 + -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 4*w + 5*w + 33.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/2 + 97*f**3\/3 + 47*f**2\/2 - 53*f - 8165. Give s(-48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6201 - -3?\nAnswer: -6165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/8 + 4725259*t\/2 = 0. Calculate t.\nAnswer: 0, 18901036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 68*w - 9. Let f(y) = -68*y + 8. Let h(g) = -3*a(g) - 4*f(g). Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j*j**(-1\/3))\/j)))**33 assuming j is positive.\nAnswer: j**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 13, 19734, -5, -4, -2, 1 in ascending order.\nAnswer: -23, -5, -4, -2, 1, 13, 19734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337967 is divided by 462.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1631 + -517590361697.\nAnswer: -517590363328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - 12*s + 5. Give w(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17045219*q**4 + 15702824*q**2 + 2 wrt q?\nAnswer: 409085256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 3. Let s be f(-8). Let q = -39 - s. What is the first derivative of -3 + j**4 + 22 + 4 + 14*j**q wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*i - 57 = 0, 2*n + 2*i - i = 14. Let p be (-19)\/30 + n\/18. Which is the closest to -0.1? (a) 0.4 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 - 461388*c**3 + 13320833732*c**2 - 916909914756*c - 930231209880 = 0. Calculate c.\nAnswer: -1, 70, 57639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - v**2 - 177681*v**3 - 3 - 292853*v**3.\nAnswer: -470534*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -2*f = c - 54, r*f + 42 = -0*c + c. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -6?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 612958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5838696, 5838701, 5838708, 5838717?\n\"Answer: x**2 + 2*x + 5838693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 32.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8 (b) 5 (c) -141 (d) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 55b8?\nAnswer: 55ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/3)*n**(1\/2)\/(n**(-2)*n)*n**(2\/11)*n**(4\/7) assuming n is positive.\nAnswer: n**(271\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -122*j - 4. Let f be y(-4). Let n be f\/6*39\/26. What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015256 rounded to six dps?\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/13)*g**3*(g**(-2)*g)\/(g**(-1\/5)*g*g) assuming g is positive.\nAnswer: g**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 8?\nAnswer: -55\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 10. Solve 0 = -d*c - 2 + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d. Let p(c) = c**2 + 26. Give p(f(y)).\nAnswer: 36*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 11*q**2 + 17*q - 54. Give r(11).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 20*a**2 + 35*a + 11. What is m(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 493962 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, 0.5, 2\/119 in descending order.\nAnswer: 4, 0.5, 0.2, 2\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/24*(-50)\/(-500))\/((-2)\/(-36)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1055 divided by -1055.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/33*4*(-96)\/(-18)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/11 (b) 0 (c) -4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 4*k - 8. Let q(j) = 2*j**2 - 4*j - 24. Let n be q(5). Determine s(n).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79418.95 centimeters in kilometers?\nAnswer: 0.7941895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30323 is divided by 527?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 81. Let t(b) = b**3 - 3*b**2 + 3*b. Determine t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + 2*u**3 - 270*u**2 + 3087*u - 3.\nAnswer: -12*u**2 + 12*u - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(220)\/(sqrt(11)*3) + (sqrt(20) - sqrt(200)\/(sqrt(10)*-2)))\/(sqrt(4)*-1*-2 + (sqrt(32) + sqrt(8))\/sqrt(2)).\nAnswer: 11*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + (5 + sqrt(63))**2 + 5*2*sqrt(7).\nAnswer: 88 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308 - -307.5. Let h = -0.05 - 0.05. What is the closest to h in 3\/4, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*i, -55 = -5*n + 4*i + 8. Suppose -11 = -2*z + n. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208\/567 - 5\/81. Which is the second smallest value? (a) 3 (b) t (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 283*d**3 + d**2 - 268*d**3 - 51*d + 50*d + 3*d**4 as c + n*d**2 + g*d + v*d**4 + b*d**3 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 16. Let b be f(-11). Suppose b*u - 12*u = -1032. Calculate the remainder when u is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23405973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4947793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**4 + 0 + 0 + (-2 + 7 + 2)*(-3*k**4 + 3*k**4 - k**4) to b*k + o + c*k**3 + w*k**4 + n*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4244660 and 56878444.\nAnswer: 284392220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3, -4*z - 240 = -2*q + 62. Suppose 5*j = -5*t + q, 4*t + t = 2*j + 110. Solve 0 = -6*c - 0*c - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3590.444 kilograms?\nAnswer: 3590444000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d. Let r be (-2)\/2*6\/3. Let l(a) = a**3 + 2*a**2 - 3*a. Give r*b(j) - l(j).\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 55 = -3*t - t, -23*z = 2*t + 137. Solve t*v + 80 = 2*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -52. Find the third derivative of 200*h**2 + 33418*h**4 - 33418*h**4 + 37*h**i + 17*h**5 wrt h.\nAnswer: 3240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 2*u + u, -5*o - 3*u - 11 = 0. Which is the second smallest value? (a) -0.2 (b) -38 (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 2*u**2 - 2269 + 2269 - 34*u**3.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m = -73*m. Suppose m = 5*t - 8*t + 6, -3*t = -k + 54. What is the lowest common multiple of k and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4900 by -980.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376*h**2 + 515*h - 241*h - 180*h - 5 + 5 wrt h?\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 13. Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 - 8*n**2 + 13 - 13.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.35075mg?\nAnswer: 0.00635075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + p**2 - p - 1. Let s be t(1). Suppose d - 1465 = -3*h, 7*d = 4*h + s*d - 1928. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 18 = -5*q + 1, -4*n = -2*q - 14. Factor -6\/7*o + 2\/7*o**3 + 4\/7*o**n + 0.\nAnswer: 2*o*(o - 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118343755358 take away -0.07?\nAnswer: 118343755358.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 + 4632*x\/11 + 21070.\nAnswer: -2*(x - 2365)*(x + 49)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1355237 by -104249.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let o(v) = -655339*v**2. Determine h(o(n)).\nAnswer: 655339*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 193*g**2 + 12. Let i(t) = 98235*t**2 + 6105. Give 4*i(r) - 2035*v(r).\nAnswer: 185*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 38*a = -441 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 12608726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938329 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Suppose 4*v = 4 - 0. Let h(l) = 8*l - 61. Let s be h(8). Suppose 2*y - 3*y = f, s*f - 3 = -2*y. Let k(o) = -o - 1. Give f*w(j) + v*k(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 20 + 31 + -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 12. Suppose -k*b + 5 = -10. Suppose -2*m = -b*a + a - 54, 4*a = -2*m + 46. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 613833, 613838, 613843, 613848, 613853, 613858?\n\"Answer: 5*a + 613828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.80658 - -1.95977. Let u = v + -2.78. Round u to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeo when three letters picked without replacement from {x: 5, o: 5, e: 4}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 - -499. Suppose -b*m + 2190 = -165*m. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 - 889225*p**3\/4 + 49419290706*p**2 + 345947706512*p - 395366774912 = 0 for p.\nAnswer: -8, 1, 444616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 9:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*c - 16 + 110, -4*c - 5*d = -116 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3*u + 12. Let i be f(-5). Suppose -70 = -4*q + i*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 18. What is the closest to h in -0.2, -6, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 7*n + 29. What is the thousands digit of v(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -10*f**4 - 315*f**3 - 2365*f**2 - 6300*f - 5500 = 0.\nAnswer: -22, -5, -5\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/((360\/81)\/10). Let a(m) be the first derivative of -v*m + 7\/16*m**4 + 4\/3*m**3 - 3 - 17\/8*m**2. Solve a(x) = 0 for x.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9*304\/(-20))\/((-4)\/20)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83698.7 take away -10?\nAnswer: -83688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 133945 + 34093 = 0. What is the smallest common multiple of 14 and h?\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247876418?\nAnswer: 2, 123938209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1133, -2, -15, 26, 8 in ascending order.\nAnswer: -15, -2, 8, 26, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 1\/6, -0.2, 91, -19, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 44 (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23382 = 1728*s + 18090 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.31 times -6?\nAnswer: 61.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31.9 in 0.24, -0.029, -11?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 83, 2\/9, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 58 = -8. Suppose o - t = c, c - 79 = o - 4*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10*2*-5. Suppose -2*z - 15 = 2*c - 5, 0 = -c - 5*z - 25. Suppose 0 = -c*g + g. Solve -h*n - 2*n = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21775934, -21775929, -21775924, -21775919, -21775914?\nAnswer: -21775909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 7*r = 12. Suppose r*h - 5*b + 8 = 3, 0 = 2*h - 3*b + 3. Let q be 0\/(1 - (-1 + 1)). Solve h = -q*d - d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*f - 295460 + 295460 - 28*f - 21*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.957 - 0.043. Let z = c - -22. Let g = 13.1 + z. Which is smaller: 3\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -1\/1597?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 610539059 a multiple of 4301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*r + 15, -h - 13 = 4*r - 1. Let u be (0 + -4 - h) + 0. Let d = -9 + 9.3. Which is the second smallest value? (a) u (b) d (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37867 + -6373. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + r - 26. Let m be b(0). Let i = m - -33. Calculate the smallest common multiple of 2 and (-18)\/(-27) - (i\/(-3) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*y**3 + 7 + 2*y**2 - 22*y**3 - 19*y**3 - 16*y**3 to the form c + n*y**2 + q*y + f*y**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 9 = i, 1 + 3 = -4*s - 4*i. Is (20 + 6)\/(s\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8901 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - g = r + 4, 0 = -3*r + 2*g + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-221)\/(-5))*5. Suppose 6*h + i = 4*h. Let m = h + 175. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 1. Let a(n) be the second derivative of -n**4\/3 - 4*n**2 + 12*n. Let c(h) = 2*a(h) + 12*u(h). Factor c(i).\nAnswer: 4*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 41.6. Let r = v + 3.353. What is r rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 5 + 1 - (6 - -3)) + -5 + 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) 2 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 92*k + 9. Let o(t) = -188*t - 20. Determine -5*b(y) - 2*o(y).\nAnswer: -84*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 20353 (c) 1.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-96)\/(-624) - 834\/(-832) and 1\/4 - (-75)\/(-70).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22909 smaller than 22909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.9, -19, 4 in decreasing order.\nAnswer: 4, 0.9, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 660\/(-1771) + (-4)\/(-46). Which is bigger: 76 or g?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*t - 70 = 2*t, 0 = -4*d + 2*t - 76. Let f be (d\/50)\/(4\/(-61)). Let a = 153\/70 + f. Calculate the common denominator of a and 34\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-2 + 5) - -11. Suppose -4*k = -p*k. Let t(b) be the second derivative of b**4\/12 + b**3\/6 + b**2 + 41*b. Calculate t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -522 - 66. Suppose -4*b + 723 = l. Suppose -4*o - b = -10*o. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*r = 4*t - 81, 0 = 4*t - r - 61. Suppose t*f**2 + 16*f**4 - 17*f**4 + 30*f**3 + 2*f + 19*f**4 = 0. What is f?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 14 = 5*n - 7*n, 0 = d - 3*n + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110029651 rounded to the nearest one hundred thousand?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*v - 127*v + 420*v + (6*v - 3*v - 2*v)*(4 - 3 - 4) in the form s + t*v and give t.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-44)\/(-110)*-60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77252 and 248?\nAnswer: 154504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ththhhhhh. Give prob of sequence tht.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-42))\/(-4*(-26)\/182)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42583, 42572, 42563, 42562, 42575, 42608, 42667, 42758?\n\"Answer: t**3 - 5*t**2 - 3*t + 42590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67774 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + 516806.\nAnswer: 516805.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5072274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxw when three letters picked without replacement from {d: 8, w: 10, x: 1}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 36*f**3 - f - f**2 + 1082 - 3*f**2 - 1078. Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltvz when four letters picked without replacement from {l: 3, v: 5, t: 1, z: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 3. What is the greatest common divisor of m and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (241 - 174 + 208)*(2*u - 3*u - 2*u)*(6*u + u + u) as y + o*u + m*u**2 and give m.\nAnswer: -6600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 137408978 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:30 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2*d**4 + 31 + d**3 - 31).\nAnswer: 2*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 3. Let m be l(-4). Let w = 0 - -0.3. What is the smallest value in 1\/7, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32082 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -15, -43, -91, -165?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + -138?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most 7198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 1 - 26) + (15 - (1 - -7))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 104. Suppose m + 5*o - 46 = i, -m - 4*o + 42 = -o. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3515481 and -115\/125874.\nAnswer: 49216734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1954 = 16*a - 4926. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {b: 1, t: 1, l: 1, g: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - 48\/8 - (-53 + 35)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -17*l - 25. Let a(r) = -r + 1. Let f(t) = 3*a(t) - w(t). Differentiate f(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-b - 2*b + 4*b + 1 - 1 + 2*b + (0 - 1 + 5)*(3 - 3 - 5*b)).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from rglrxgg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idyyd. What is prob of sequence ydy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 135644300 to the nearest one million.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -1.9. Let p(g) = g**3 - g**2 - 2*g - 3. Let u be p(0). What is the closest to r in u, -3\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001782351 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 546 - 546.8. Which is the second biggest value? (a) -20 (b) -3 (c) 2\/11 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 4)*(37*j + 2*j + 4*j + (4 + j - 4)*(-1 + 1 - 1) - 3*j + 3*j + 2*j) as i*j + a and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*w - 54*w = -1685 + 182 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 5*f + f)*(741*f - 1293 + 1293).\nAnswer: -5187*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5 + 11*o**2 + 3*o**2 + 5*o + 1 - o**3 - 9*o**2. Determine j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 29683 = 4683. Round k to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/5)\/(1\/(-5)). Let u = 1598 - 1596. Calculate the least common multiple of (-14)\/x + (-1)\/2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l**3 + l)*(3*l + 0*l + 0*l) + (-2*l**4 + 4*l**4 - 4*l**4)*(14 - 11 + 18) + (1 - 6 + 2)*(-2*l**4 - l**4 + 5*l**4) + 3*l**3 + l**4 - 3*l**3.\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -197, -190, -179, -164, -145?\n\"Answer: 2*u**2 + u - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 0*c**2 - 29\/5*c**5 + 4\/3*c**3 - 32 + 0*c + 0*c**4. What is the third derivative of b(u) wrt u?\nAnswer: -696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, -3041\/2, 1, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6642993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 - -4.9. Let d = -0.03 - 0.37. Let o = 413\/6 - 69. What is the biggest value in l, o, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/(-1)*(-1)\/3. Suppose -5*o + 17 = -p. What are the prime factors of ((-2)\/(-2))\/(3\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 10}. What is prob of picking 3 s and 1 y?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30493723121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/23 (c) 3 (d) -0.1 (e) -3075 (f) 2\/21 (g) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 37, 1, -264\/7, -4\/19 in descending order.\nAnswer: 37, 1, -4\/19, -4, -264\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -69. Let n(t) = t. Let c(z) = 9*z + 9. Let b(s) = j*c(s) - 6*n(s). Let w(r) = 7*r + 4. Calculate 6*b(g) + 13*w(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*p + 25, 12 = 5*b + 2. Let r be 4*p - (2 + -4). Suppose 0 = -o - 0*o + r. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203\/33 - (-255)\/(-561)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + -244.95. Let b = -94 - -72. Let o = 22.3 + b. Put -0.4, 2, w, o in descending order.\nAnswer: 2, o, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62388 (base 9) to base 3\nAnswer: 2002102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let j = -308\/981 + 10\/109. Which is the second biggest value? (a) v (b) 2.8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mhmh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.488 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6830808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*t**4 - 15435*t**3 + 149820*t**2 + 174781460*t + 43685760 = 0. What is t?\nAnswer: -96, -1\/4, 122, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = 3*y. Suppose 5 = 2*f + 3*g, -7*f + 2*f = -g + 30. Sort f, y, 4, -2 in descending order.\nAnswer: 4, y, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + q - q**2 - 7*q + 4*q + 3. What is the units digit of j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5943 + -2278. Suppose 3*c = y - 125. Suppose -4*g + 0*g = -c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8368 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 403.6998283 + -403.7. Round n to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181600*v - 12 + v**2 - 180937*v + 15)*(3 - 2 + 2).\nAnswer: 3*v**2 + 1989*v + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 53. Let o be 0\/((-144)\/40 - 3\/(-5)). Solve b + 6 - n = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -14. Let l(q) = c*q**2 - 40*q + 40*q. Let s(h) = 3*h. Determine s(l(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -z - j - 1, 3*z - 9 = 6*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -0.62, -207, -0.02 in descending order.\nAnswer: 1.7, -0.02, -0.62, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -32380000 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -15. Suppose 0 = -k*x + x + 1. Suppose -2*i - 3*i = 15. Sort -5, i, x in ascending order.\nAnswer: -5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2935, -2934, -2923, -2896, -2847, -2770?\nAnswer: -2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4705931.\nAnswer: 4705931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53190 + -8?\nAnswer: 53184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + w - 3. Let s(z) = -2*z**2 - 5*z + 124. Give 5*g(a) + s(a).\nAnswer: 8*a**2 + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = 0, -4 = -3*j - 15*k + 16*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48396 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -27. Suppose -i = 2*i + s - 244, -j*i + 3*s = -170. Suppose 0 = -y - z + 15, -y = y - 3*z - 15. Calculate the remainder when i is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 44*z**2 - 17*z - 16. What are the prime factors of p(-4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 32*m + 81*m)*(1 + 4 - 2)*(0 + 2 - 4).\nAnswer: -594*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 - 26*o + 2 - 13 + 0 - 1 + 6. Is 12 a factor of u(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44915 and -44915 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. What is the tens digit of (-8)\/(-2)*32\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28 - 13*u**2 - 28. Suppose -5*z - 6 = -1. Calculate k(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.5 (c) 23 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmememmmmee. Give prob of sequence mm.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6649 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:38 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 12*x + 0*x + 8*x + 0*x. Let d(y) = -9*y - 3. What is d(q(b))?\nAnswer: 9*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -854*l - 4112. What is o(-5)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 531617956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 8*t**2 + 5*t - 23. Determine i(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43212\/176449*(0 - 14\/(-18))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.3, 0.3, 251?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/((-1)\/4). Factor 2*h**3 + 6*h + 2*h**s + 3*h**2 - 2*h**3 - 5*h**3.\nAnswer: -3*h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -693*a**2 - 522*a**2 - 254 + 253 - 121*a**2 as v + i*a + y*a**2 and give y.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r. Let t(k) = -23*k - 44. What is l(t(j))?\nAnswer: 276*j + 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 22*s - 22. Determine p(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u + 2*t - 38, 3*t + 79 = 5*u. Differentiate 7 + u + 0 - 11 - 32*o with respect to o.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (96\/112)\/(10\/35). Solve c + 11 = -u - f*u, -5*u = 2*c + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dqjsqqxqdqxqx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 1.5. Which is the nearest to 0? (a) -2 (b) -13\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1219*w**3 + w**2 - 4*w**2 + 26*w - 24*w - 1459*w**3 in the form t*w**3 + p + d*w**2 + y*w and give t.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402892418 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 1 - (-255 - -229)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -y - y + 45, -4*c = -9*c - 432*y + 433*y + 88 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/166955474 - -40975648027\/253271454058. Let j = o - 6\/41. Let h = 992\/2849 + j. Find the common denominator of -85\/8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -8735\nAnswer: 34940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326963340?\nAnswer: 2, 5, 73, 908879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 1720.\nAnswer: 20640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 68, 95, 104, 89, 44?\n\"Answer: -t**3 + 46*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2. Let m(p) = 41*p**2 + 18*p. Let r(w) = 2090*w**2 + 912*w. Let c(j) = 152*m(j) - 3*r(j). What is x(c(a))?\nAnswer: -12996*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uicccuci. What is prob of sequence cciu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/6 - o**4 - o**3\/2 + 13*o**2\/3 + 4*o = 0.\nAnswer: -4, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51755.33 - 51490. What is m rounded to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6048.7, 20, 2\/19 in increasing order.\nAnswer: 2\/19, 20, 6048.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 smaller than 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + 1*(sqrt(77) + sqrt(77)*1) - (sqrt(77) - 6*(1*sqrt(77) - sqrt(77))))\/(sqrt(33)\/(sqrt(192) + sqrt(192)*1)).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/35, -1\/13, -0.035, -33\/13 in increasing order.\nAnswer: -33\/13, -6\/35, -1\/13, -0.035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135409 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 49*i - 850. Determine a(18).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:48 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 618*s**2 - 21*s + 3. Let j(m) = -1852*m**2 + 56*m - 8. Let r(n) = 8*h(n) + 3*j(n). Let k(l) = -l. What is r(k(u))?\nAnswer: -612*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 109, -3 in descending order.\nAnswer: 109, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3079 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 + 4*b + 2. Let u(c) be the second derivative of -c**3\/6 + 6*c**2 - 135*c. Let q be u(15). Determine j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*f - 7, 0 = -2*b - 3*b - 2*f + 62. Suppose 0 = 3*c + 6 - b. Solve -2*o = c*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170807305.\nAnswer: 5, 367, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504398234?\nAnswer: 2, 23, 10965179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154 - ((-210 - -146) + 173)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -244*g + 253*g. Let a be 250\/(-30) + (-40)\/g. Determine r, given that 1\/3*r**2 - 4\/3*r - a = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1\/8 (c) -33876 (d) 2\/9 (e) 4 (f) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/6*(-4)\/2. Let i(c) = -c**3 - 5*c**2 - c - 3. Let j be i(z). Let a be (-16)\/(-3) - 4\/(-6). Is a greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61744.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3 + 4*m + 1 + 5*m**2 - 4. Let n be z(-3). Solve 0 = 2*l - 5*s - n, -2*s = 11 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2746753 to the nearest ten thousand.\nAnswer: 2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1877 - 1873 = 4*s, 2*z = 2*s + 5*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 16*n**2 - 13*n - 7. Determine v(15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 5*x - 4*u, -2*x - 4*u = u - 165. Let f = 103 - x. What is the remainder when 182 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {s: 1, t: 4, c: 6, j: 1, p: 1, q: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.11 (b) 3 (c) -0.2 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = 4. Let o(t) = -t**2 + 5*t - 3. Let z be o(u). Suppose -z*a + 2*k + 3 = -2*a, 0 = -4*a - 2*k + 12. Which is smaller: 1\/4 or a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 73*l - 11*l - 10*l - 65 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 13*k + 1. Let i be d(-13). Let j be (1 + -5)*i\/(-4). Is 1\/3 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*q**4 - 11*g*q**3 - 486*g - 16*q**5 - 4*q**3 - 12*q**2 wrt q.\nAnswer: -48*g*q - 66*g - 960*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 129*m + 780. Calculate c(-48).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6)*9\/6. Let q(b) be the first derivative of -b**2\/2 - 2*b - 57. Let u be q(z). Solve 5*c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414\/14766*(-8)\/(-12)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmdddmdddmddmd. What is prob of picking 1 d and 1 m?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 5, u: 11}. What is prob of sequence yj?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2223*b - 1788. Let v be a(-4). Is 7106 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*b - 4 = -214*b. Suppose p + 5*t = 13, 3*t = p - 2*p + 9. Let k(u) = u**3 - u**2 - 4*u - 1. Let l be k(p). Put 0, l, b in decreasing order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + (3 - -18 - 4) + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*m**3*x - 37*g*m**3 - 4*g*m*x - g*x - g + 753*m**4 + m + 161*x + 870 wrt m?\nAnswer: 18*g*m*x - 222*g*m + 9036*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {z: 2, k: 11, x: 7}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 4*g + 3. Let u = 20 - 13. Let r(t) = -6*t + 1 - 16*t - 10*t - 12*t + 55*t - 9*t. What is u*r(x) - 3*p(x)?\nAnswer: 3*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1720085245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r = 3*u - 30, 5*u = 2*r + 50. Let x = 43 - u. Calculate the highest common divisor of 44 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.717 + -5.027. What is u rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*z + 19*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 33911c?\nAnswer: 339118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4)*(-291*v - 349*v - 5937 + 641*v).\nAnswer: 4*v - 23748","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5*d**3\/3 + 5*d**2\/2 + 5*d - 4. Is z(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1797*0.60366\nAnswer: 1084.77702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: a893a (base 12) to base 9\nAnswer: 368221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24127489 to the nearest integer?\nAnswer: 4912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019503635 to seven dps.\nAnswer: 0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -287, -292, -295, -296, -295, -292, -287?\n\"Answer: g**2 - 8*g - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1759428 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678 is divided by 525.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 50360*c - 50358.\nAnswer: -2*(c + 1)*(c + 25179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/(v**3*v)*v**1\/(v**(-1\/6)\/v))\/(((v**(-1)*v*v)\/v)**(-1\/33))**(-46) assuming v is positive.\nAnswer: v**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 7. Let d be p(4). Let m(y) = -y**3 - 2*y**2 + y - 5. Let b be m(-4). Let z = d + b. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)\/f)\/f)**(16\/5))**(-11\/7)*((f*f\/f**(-2\/3))\/(f\/(f**(-1\/2)*f)))**(-38) assuming f is positive.\nAnswer: f**(-7061\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125031 + 1026?\nAnswer: -124002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -37*v**7\/42 - 2*v**3 - v - 2. What is the second derivative of b(i) wrt i?\nAnswer: -740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h + n - 117, -h - 3*n = -47. Let c be 3\/6*-6 - (-1 - 3). What is the remainder when h is divided by 2 - (11\/(-1))\/c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, c: 6}. Give prob of sequence fc.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036422629.\nAnswer: 53, 57290993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-4 + 19))\/(1\/21). Solve g - 5*f - c = 5*g, -2*g - 2*f - 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -17. Let h = s + -3. Let v = -6 + h. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 5, t: 5}. Give prob of picking 1 j and 2 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35074.43 + -34927. Let d = h + -145. What is d rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14741575 by 2948315.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 15. List the prime factors of z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 40. What is the units digit of -7*(s\/21 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**(2\/11)*r)\/r*r\/(r*r**(-1))*r**6*r*r\/(r*r*r\/(r\/r**(-5)*r*r)*r)*r*r assuming r is positive.\nAnswer: r**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 225*0.604\nAnswer: 135.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/18026 and 25\/24506347.\nAnswer: 49012694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let s(b) = -1297721984*b. Calculate j(s(t)).\nAnswer: 1297721984*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.127 - -33526541640.\nAnswer: 33526541643.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**2 + 0*j + 1\/5*j**6 + 0 - 1\/6*j**3 + 0*j**4 + 1\/60*j**5. Is 12 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2)\/((-16)\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2\/(-6) + (-39622)\/(-66) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*j + 20 + 14, -4*v = 3*j - 18. Solve -2*m = -v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0892264 from -0.009.\nAnswer: -0.0982264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*z + 757*z - 159 + 459 = 372*z for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 9*g - 116*g**2 + 16*g + g**3 - 54*g**2 + 170*g**2.\nAnswer: -2*g**3 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 2*w - 7*w**2 + 0 - w**3 - 3. Let y be (1\/2)\/((-1)\/12). Determine a(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5 - 3 - q**3 - 5*q**2 + 279*q**4 - 276*q**4 + q = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1978442 and -2384.62237.\nAnswer: -1980826.62237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in -0.018, -1, -2\/7, 2, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 10 + 7 + 9 - 33 + 13*k in the form w + z*k and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 2*b)*(-1 + 3 - 3) + (5 - 2 + 0)*(5*b - 4*b - 3*b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*k + 14 = -h + 260*k + 257*k, -5*k - 33 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84092*z**2 + 11488*z.\nAnswer: -168184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 2 - 3*n**3 - 40*n**2 + 44*n**2 - 12*n**2 to x*n**2 + b*n + h + q*n**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 183c (base 15) in base 6?\nAnswer: 40120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 7321*m**6\/30 + 6555*m**2\/2 + 16*m + 354. What is the derivative of j(v) wrt v?\nAnswer: 29284*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, b: 9}. Give prob of picking 4 b.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41200 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257 - 248. Solve 4*o + 5 = g*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -987\/5 + 199. Let f(h) = -h**3 - 5*h**2 + 2*h + 8. Let t be f(-6). Let p be (1\/2)\/(8\/t). Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 6*v + 30. Let w(s) = -6*s - 6. Let z(p) = -5*p - 5. Let b(d) = 4*w(d) - 5*z(d). Let y(o) = o + 2. What is v*b(i) + 3*y(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 20 - -37 - (15 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 10*b**2 + 12*b + 14. Let t be n(-11). Suppose u - t = -0. Suppose 2 = -u*w + 5*w + 4*x, 2*x + 26 = -4*w. Is w at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 2, -0.002, -15\/107 in decreasing order.\nAnswer: 44, 2, -0.002, -15\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135758 in -2, -0.135, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -93 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22969 is divided by 882?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + d + 64 = 0, 5*d + 8 = 139*n - 71*n - 67*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 559105 and 447284?\nAnswer: 2236420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 16. Let x be (3\/(-9))\/((-1)\/r). Let j = -61 - -116. What is the greatest common factor of x and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -g - 29, 5*g - 3*g + 2*y = -18. Let d = -6 - g. Suppose 115 = 5*i - 2*p + d*p, 4*i = 2*p + 80. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -34182430\nAnswer: 1\/34182430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13303333 (base 4) to base 13.\nAnswer: 11746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(72))**2*1 + 2*(1*sqrt(72))**2)*-3.\nAnswer: -5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from nttntn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858 - 1618 = 4*v. Find the common denominator of (-4)\/18 - v\/(-90) and -97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 9*h**2 - 8*h + 2. Let t be a(-8). Suppose -2*i + 307 = -i - 5*g, 3*g - 640 = -t*i. What are the prime factors of i?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 52 = -b. Suppose -s - p + b = 13, 0 = -2*p. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from efuuubufueeuffubbb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 s when four letters picked without replacement from ssinsiddsssissdsssss.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -772, -1192, -1898, -2890?\n\"Answer: -143*a**2 + 9*a - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + 1668*t**3 - 834*t**3 - 844*t**3 - 37*t as s*t**3 + f*t**2 + c + n*t and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*t + 40 = 0, 2*u + 52*t = 50*t + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 3*s**2 - 5*s**2)*(-2 + 876*s + 214*s + 2).\nAnswer: 1090*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.5 (c) -54 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32375.68g to micrograms.\nAnswer: 32375680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + -1 + sqrt(5) + sqrt(15)\/(sqrt(12)\/sqrt(4)))**2 - 5*((sqrt(180) - (-1 + sqrt(180)))*2)**2.\nAnswer: -16*sqrt(5) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*(-496215)\/(-240)*2?\nAnswer: 3, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.25377847 to 2 decimal places.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -38*u. Let f be g(-1). Let y = -192\/5 + f. Let r = -4 + 3. Do r and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -23, -62, -115, -182, -263?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 96 = -63 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 3, 5, 1 in descending order.\nAnswer: 5, 3, 1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -20. Calculate the common denominator of 13\/(-20) - 9\/w and 107\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*j - 3*k, 3*j + 6 = -4*k + 8*k. Suppose y = 2*m - 299, -4*y + 57 = j*m - 217. What is the greatest common divisor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 66.\nAnswer: -5, 4, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5176?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 >= -2\/1293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -5.7, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 62 = -34*z, 3 = 7*z - 6*z - 2*z - 5*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:07 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:41 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 146 + 163*w + 78 + 151*w - 310*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))\/m)**(6\/19)*m*m*m**(-4\/3)*m**(2\/45) assuming m is positive.\nAnswer: m**(338\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338835 = 107*d + 94340. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 206.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqjqqlqqjzqjizj. Give prob of picking 2 q.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/16*(-7830)\/4785\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2745, -2756, -2767, -2778, -2789, -2800?\nAnswer: -2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3\/2 - (-1)\/(-2). Solve 0 = -r*g + 3*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254.2 - 2.\nAnswer: 252.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -122. Find d, given that 0 + 0*d + 3\/4*d**3 + 0*d**g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55354631 (base 7) to base 9\nAnswer: 8870272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 8 = 4*u - 4*q, u - q - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*j = -u + 130*j + 15478, -46430 = -3*u - 4*j. List the prime factors of u.\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Let r = -0.12 - 0.08. Which is the nearest to -1? (a) t (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/3 (b) -4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 2*h + 1. Let x be t(-2). Let d(n) = -n**3 - 2*n**2 + 2*n - 4. What is d(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -30, -35, -42, -51, -62?\n\"Answer: -o**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 201*n - 802*n - 12 - n**3 + 4*n**2 + 197*n + 200*n + 206*n + 7. Let r(t) = 3*t**3 - 13*t**2 - 7*t + 16. Let q = -2 + 4. Calculate q*r(l) + 7*j(l).\nAnswer: -l**3 + 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2461123\/6 or 410187?\nAnswer: 2461123\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 68403314730 and -654.\nAnswer: 68403314076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p**5\/5 - 144*p**4 + 5912*p**3 - 21696*p**2 + 27612*p\/5 + 33264 = 0.\nAnswer: -33, -1, 28\/13, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 9754902 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**6\/90 - y**5\/30 + y**4\/36 + y**3\/9 - 2*y. Factor w(m).\nAnswer: -m*(m - 1)*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*x + 5*j - 13, 1 = -x - 2*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:11 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18*(20\/6 - -2). Suppose 4*k - l = -4*t + 84, 3*t - 5*k = 111. Calculate the highest common divisor of 105 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4044*n + 4498*n + 4045*n - 12586*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*a - 7*a - 73*a - 75*a + 34*a.\nAnswer: -366*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/154)\/((-5)\/10))\/(-1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 25*l + 3*l + 17*l. Sort -15, l, 14 in ascending order.\nAnswer: -15, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/2 - 1365873*w - 1865609052129\/2 = 0. Calculate w.\nAnswer: -1365873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 74*g + 8. Let h(c) = -c**2 + 73*c + 10. Give -4*h(r) + 5*s(r).\nAnswer: -r**2 + 78*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4174 = 80*z - 71374. Calculate the highest common factor of 1995 and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/172 + 317\/1548. Find p such that 0 - 8\/9*p + 2\/3*p**3 - j*p**4 + 0*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5 + 27*k**4 + 198*k**3 - 7024*k**2 + 13056*k = 0.\nAnswer: -16, 0, 2, 17, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - g**3)*(-g + g + 4*g) - 2*g**4 - g**4 + 2*g**4 - g**4 + g**3 - g**3 - 3*g**3 + 3*g**3 - g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 1086\/(-9) - 1\/(-3). Suppose 3*z - 15 = 5*g - 215, 3*g = 4*z + k. Suppose 41*w - g*w - 5 = 0. Let c(s) = -s**2 + 7*s - 5. Calculate c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y**3 - 138*y + 138*y)*(-5 - 5 + 0).\nAnswer: -170*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/10 in -11\/26, -1\/2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 9}. Give prob of sequence bubu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11653215 and 1015?\nAnswer: 11653215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 856.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhh. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/6300 and -37\/1260?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2c85803 (base 13) to base 10\nAnswer: 14349962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/5)\/((-8)\/20). Let w be r - -4 - (1 + -1). Suppose w = 3*x - 11. Solve -3*a - j + 2 = 0, -a + 3*j = -4*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19978, 79955, 179946, 319975, 500066, 720243, 980530, 1280951?\n\"Answer: 4*c**3 + 19983*c**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let f(p) = 56*p**2 + 11*p - 11. Let x(w) = -11*w**2 - 2*w + 2. Let a(b) = 2*f(b) + 11*x(b). Give q(a(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v + 6. Let r(q) = 17*q - 13. Let h(k) = -13*p(k) - 6*r(k). Let x(s) = 6*s. Determine h(x(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -26*a. Let z(l) = 5*l. What is 2*k(h) + 11*z(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(5 - (23 + -17)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.4 + -0.4. Let h = -109487 - -109493. Let y = 0.25 - 4.25. Which is the nearest to -2? (a) y (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllcclclccclcl. What is prob of picking 4 c?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 136262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*t - 2*x - 1, -3*x = 4*t - 12. Let p be (-2)\/10 - t\/(-5). Let g = 1\/69 - -202\/345. Which is the third biggest value? (a) 1 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/352944430 or 0?\nAnswer: -7\/352944430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:47 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 18. Let f be h(3). Solve s = -s - f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-8))\/((-21)\/(-4)). Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96, 185, 274?\n\"Answer: 89*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**2 + 3*i**2 + 8*i**2 - 8*i**2 - 6 + 3*i. Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 45. Let f = -2 - z. Let p(x) = f*x + 3*x - 10*x. Let w(m) = -3*m. Give p(w(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/171, -0.13, -0.08, -1, 2 in descending order.\nAnswer: 2, -2\/171, -0.08, -0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -l + 74, 278 = -29*l + 33*l - 15*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 145, 306, 493, 718, 993?\n\"Answer: 2*g**3 + g**2 + 144*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y**2 - 2*y + 11. Let o(l) = -7*l + 6. Let a be o(2). Let t be f(a). Let j = 164 + t. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9*s - 2*v = 30, 1 = -v for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/6 + 2*r**3 + 11*r**2 + 5*r. Let f be h(-6). Let q = f + -15. Solve 5*p = -q - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 698 - 693. Solve 0 = x*c + 28 - 33 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 143\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 3*a - 154. Let s(o) = o**2 - 2*o - 77. What is -7*s(m) + 4*t(m)?\nAnswer: m**2 + 2*m - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 1 + 1)*(-1 + 1 - 1)*(-2*q + 3*q - 2*q) in the form u*q**2 + s*q + v + i*q**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-4)*x*x)\/x**(-4) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -40. Suppose 0 = -o + 5*m - 7, y*o - 4*m + 0 - 1 = 0. Solve o*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -19*l + 3. Let f(j) be the second derivative of -7*j**3\/6 + j - 104. Determine n(f(z)).\nAnswer: 133*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45*(-5)\/12*(-546)\/(-420). Which is bigger: m or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019612 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-24) - 14440\/(-3) - 5. Suppose -g + t = 3*g. What are the prime factors of g?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -8, -4 in decreasing order.\nAnswer: 20, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3246 take away 2.16?\nAnswer: -3248.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184555271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 31 - 216 - 5 = 12*d, 12*o - 9*o + 3*d + 51 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:33 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/101412 and 125\/11268.\nAnswer: 101412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/947?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 309, 683, 1213, 1905?\n\"Answer: c**3 + 69*c**2 + 10*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14) - (-10)\/70.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 597\/(-91) - (12\/(-26))\/(-3) and -37\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - (7 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1303 - -3132?\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1152 - -1.8848. What is the biggest value in 1, -0.053, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 81*n**2 + 402*n + 1. Let h be i(-5). Let s be (34\/(-6))\/((-1)\/3). Is h at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Suppose -2*n - 5*a - 17 = -k*n, -5*a = 15. Suppose n*g - 3*l - 2 = -l, 0 = -3*g + 5*l + 1. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 211, 477, 849?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958891 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(10\/(-4))*152\/76.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3213 and 20790?\nAnswer: 353430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o**3 + 6*o**2 - 8*o - 1. Is g(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 975\/2979 - 2\/6. Let q = r - -680\/2979. Is q > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.7395628 and 5?\nAnswer: -73.697814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 58356011?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/11 - 7188*t**4\/11 - 8456884*t**3\/11 - 3068027960*t**2\/11 + 219764716134*t\/11 - 3441634272100\/11 = 0.\nAnswer: -1219, 25, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (98\/(-32))\/((-54)\/(-72)). What is the smallest value in 0.07, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*s + 139. Calculate the remainder when 96 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-12)\/18*(-6)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + 1 + 3 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756676*l - 756647*l = 174 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 26. Let i be s(-7). What is the highest common divisor of 20 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**19\/y*y\/((y*y**19*y)\/y) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -43, -100, -191, -322, -499, -728?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 62995*o**2 - 3968370025*o\/2.\nAnswer: -o*(o - 62995)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -0.46. Let w be 1\/(-1 - (-39)\/38). Let o be ((2 + w)\/4)\/4. What is the third biggest value in r, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -165. Let u be 5 + -8 - -104*11\/s. Round u to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39284 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11132, -11129, -11126, -11123, -11120, -11117?\nAnswer: -11114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11693, -24150, -44913, -73982, -111357?\nAnswer: -157038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 120 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -2\/3*c**3 + 0 + c + 1\/2*c**2. Suppose -93 - 96 = 63*d. Calculate o(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111211684 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001415322438 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5 - t + 13 + 4*t. Let s be q(6). Suppose s = -5*v + 81. Calculate the highest common divisor of v and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10356107 is divided by 4779?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -4 + -3 + sqrt(99) - (1 + sqrt(99) + 1))*1)**2.\nAnswer: -54*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -3\/2 (b) 12 (c) -12 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 2*t - 553, -3*t + 206 = 2*i. What is the remainder when i is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234687430 divided by 55390.\nAnswer: -4237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0583 + 0.05489. What is f rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259969734*d**2*x**2*z**2 + 2*d**2*x**2*z - 64*d**2*x**2 + 17*d**2*z - 253*d*x*z + 2*d*z - 2*x**2*z + 6*z wrt z?\nAnswer: 519939468*d**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-3 - -64 - -31) - -26.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let b = 16 + -11. Let i be (-1)\/(-2 - b\/(-2)). Let a(h) = -4*h**2 - 1. Calculate i*u(d) + a(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.204 - -3.98. Round y to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94712844 divided by -15785474?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:06 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 11 (b) -1 (c) -0.1 (d) 14397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**1\/c)\/c)\/c)**(-49)*(c\/c**(2\/21)*c*c)\/(c*(((c\/c**(2\/7)*c)\/c)\/c)\/c))\/((c*c*c*c**5)\/(c*c**(-2)*c)*c**(3\/4)\/c**3) assuming c is positive.\nAnswer: c**(8017\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3720627, -3720625, -3720623, -3720621?\nAnswer: -3720619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z. Let y = -13 - -9. Let n = 6 + y. Solve -3*a - 6 = -n*d - 0*a, -3*a - 6 = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 = 13. Suppose f = -0*f + k. Let q = f - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-10))\/(-2*((-3)\/3)\/2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186 divided by -182?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6664518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**6\/120 - u**5\/12 + u**4\/12 - u**3\/3 - 3*u**2. Calculate the remainder when 12 is divided by p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*k = -5, 0 = -2*q - k - 2*k - 3. Let w = -1150 + 3404\/3. Let z = 15 + w. Is z at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140251\/75 - 5617\/3. Calculate the common denominator of 39\/305 and m.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920832688.\nAnswer: 2, 307, 391049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4479020 divided by -49220\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294262 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6520\/2282)\/((-6)\/21)*3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:56 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from {h: 1, y: 3, j: 2, e: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -19 - (-1 + 6 + 3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 85.45. Let i = g + -0.25. Which is the closest to 1? (a) i (b) -1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 3. Let y be n(3). Suppose -4*j = -2*j + 2*w - 186, -4*j + 2*w + 342 = y. Suppose -f - m = 4*m - 28, 5*f - m - j = 0. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860 + 2585 = 25*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.173685 months to decades.\nAnswer: 0.051447375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 34 + 2218*u**2 + 2209*u**2 + 29 - 74 - 4429*u**2.\nAnswer: -2*u**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 498 - 511 + 17*y.\nAnswer: 2*y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 + 33*v**4 + 6*v**3 - 68*v**2 + 24*v = 0. Calculate v.\nAnswer: -6, -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c**2 - c. Let g(m) = -5*m**3 + 3*m**2 + 12*m - 5. Let v(l) = -g(l) - 4*r(l). Calculate the lowest common multiple of 5 and v(4).\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5268356, -5268358, -5268360, -5268362, -5268364?\nAnswer: -5268366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.155938340488 less than -0.01?\nAnswer: 0.145938340488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (-2 - (0 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 397426 - 668013. List the prime factors of l.\nAnswer: 34369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.28640347 to three decimal places.\nAnswer: 36.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (1 + sqrt(108) - sqrt(108)))**2 + -5 + ((-3*sqrt(27) + sqrt(27))\/sqrt(9) + -1)**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58 and 249.\nAnswer: -14442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 933*h**2 + 80961*h + 80027.\nAnswer: -(h - 1013)*(h + 1)*(h + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 1. Let o be d(-4). Suppose o*i + 3*h = -102, h - 16 - 43 = 2*i. Let q = -11 - i. Solve 3*m + 2*m + 3*g + 11 = 0, 4*g - q = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -101*o**6\/4 - 800*o**3\/3 + o**2 - 1075. Differentiate s(l) wrt l.\nAnswer: -9090*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (29100\/(-36) + 6\/(-9))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 29*p = 21*p + 63665 - 62221 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(98) + -5.\nAnswer: -5 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 - 23*o**3 - o**3 - 3 + 3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4 = 6*f - 4*f, 7 = 3*f - 4*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*s**3 - s**2 + 45*s**3 + s**2 + 49*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542, -650, -758?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1244 and -85\/756.\nAnswer: 235116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10257 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1634 take away -5.6?\nAnswer: -1628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 259248933 a multiple of 1320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4886552970786 - -2\nAnswer: 2.4886552970786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 20. Find the third derivative of 2*w**4 + 4*w**x - 5*w**4 + 3*w**2 - 6*w**2 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/21728515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (104 - (21 - -32)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-19)))\/(f\/(f*(f*f**(-18)*f)\/f)))\/(f*f**(2\/45)*f\/((f**(2\/19)\/f)\/f)*f))**(5\/7) assuming f is positive.\nAnswer: f**(-359\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by -8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 3. Let v = i + 8. List the prime factors of (9\/18)\/(1\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295398681 divided by -98466227.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*n = -63, 92 - 9 = 4*v + 3*n. Suppose -15*w + v = -10*w. Suppose 3*c - 4 = -2*r + c, -w*r - 6 = -3*c. Round r to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and -0.8022.\nAnswer: 0.2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 425*q - 841 + 416 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520) - (sqrt(520) - (sqrt(520) - ((sqrt(520) + sqrt(520)*-2)*-6 - sqrt(520) - sqrt(520)))))*-5*5)\/(-4*sqrt(10)*-3 - -1*sqrt(40)).\nAnswer: 75*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49543484 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112818 (base 9) to base 14.\nAnswer: -1a981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17923?\nAnswer: 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22839?\nAnswer: 3, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q + 20. Let n(a) = 79*a**2 + 3*a - 1. Let j be n(q). Let g be (1 - j)*30*200. What is g rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 4) to base 15.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 19*c - 23. Give g(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -4\/7 (c) -0.273 (d) -6 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -77574*s. Let j(t) = -591*t + 5. Give a(j(r)).\nAnswer: 45846234*r - 387870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-3 - (-5 + 3)) - 10. Let a(k) = k**3 + 87*k - 45*k + 13*k**2 - 41*k + 10 - 7. Determine a(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 2. Let v(o) = -4*o + 4. Let n(t) = -11*p(t) - 6*v(t). Suppose 5*f = -0*f + 20. Let k(a) = 6*a - 2*a + 0*a - a - 2. What is f*n(m) - 3*k(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6) + 25509\/18. What is the common denominator of n\/(-130) - -3*1 and -13\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21053 and 0.04.\nAnswer: -842.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 30 - 16 - 14 + 2*m**2. Let r(x) = -5*x. Calculate q(r(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.4044 hours in nanoseconds?\nAnswer: 343455840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and 342.\nAnswer: 126.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 896a2?\nAnswer: -896a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 6*f + 3. Suppose 0 = -11*q - 32 - 23. What is g(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1538 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:36 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**3 + 0*d**3 + 6 - d**3 - d + 5*d**2 + 6*d**3. Suppose 5*a + 25 = 3*c, 0 = 3*a - 3*c + 4 + 11. Determine l(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -983, -2063, -3143, -4223, -5303, -6383?\nAnswer: -7463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -201*y + 63*y + 81*y = 57 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. What is the units digit of f*3*4\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v**2 + 4*v. Let u be m(-3). Suppose 53 + u = 2*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -803*v**4 - 21*v**2 - 5*v + 600*v**3 - 600*v**3 + 0*v wrt v.\nAnswer: -19272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -7*j + 2*j - 10*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 42 = -30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let i be 12\/(-78) + 120\/273. What is the second biggest value in m, 3, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/5 bigger than 0.00312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.563901 rounded to 2 decimal places?\nAnswer: -4.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33414 or 33644?\nAnswer: 33644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b**5 - 3240*b**4 + 113145*b**3 - 498110*b**2 - 1333620*b + 3805560 = 0.\nAnswer: -3, 2, 33\/5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, u: 2}. Give prob of picking 2 p and 1 u.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r - 22. Let f(t) = 4*t - 7. Let h(g) = -7*f(g) + 2*n(g). Let x be (0 + -6 - -23)\/(-1). Let y(z) = 6*z - 14. What is x*h(b) - 6*y(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -5*x**2\/2 + x - 1. Let k(s) = -s. Let r(y) = 3*y - 1. Let o(d) = 6*k(d) - r(d). Let l(t) = 5*n(t) - 3*o(t). Give l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*t - 55*t + 36*t + (-2*t + t + 3*t)*(-4 + 2 + 1) to m*t + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1201370, 1201472, 1201574?\n\"Answer: 102*n + 1201268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/19152 and -145\/2577456?\nAnswer: 48971664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 80, 173, 312, 503?\n\"Answer: y**3 + 14*y**2 + 4*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/49)\/(30\/(-21))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 21*u**2 + u + 1. Let h be (-5)\/((-10)\/6) + (-6 - -5). What are the prime factors of z(h)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107732 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21330*v + 7860?\nAnswer: 21330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0645 * 1.\nAnswer: 1.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643641.2nm in meters?\nAnswer: 0.0006436412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 17810 - 17810.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -7 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/6 - 2008*c**2\/3 - 17298*c - 31920.\nAnswer: -(c + 2)*(c + 24)*(c + 3990)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 1.4, 4271 in decreasing order.\nAnswer: 4271, 1.4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701954*t**2 - 1403904*t**2 + 701952*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135.7772 and 0.5?\nAnswer: 67.8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, 11301, -2 in descending order.\nAnswer: 11301, 11, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -736, 1, -10 in descending order.\nAnswer: 2, 1, -10, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8671 + 40059. What is o rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-3)\/(-27) + 3\/9. Suppose -2*r + 1 = -7. What is the closest to r in y, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278817 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4299 - 4221. What is the highest common factor of m and 24102?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2*g + 2*g - g) - 377*g - 285*g + 90*g.\nAnswer: -571*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.71 - 1.91. Which is smaller: l or 5\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8730 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2 + 2*d**2 - d + 11*d - 8*d. Let v(z) = -2*z**2 - 3*z + 3. Let s(f) = -f**2 + 9*f + 24. Let o be s(11). What is o*v(c) + 3*g(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*n**5 + 12*a*n**3 - 2*a*n**2 - a - 2*n**6 + 60*n wrt n.\nAnswer: -240*a*n**2 + 72*a - 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.46 - -4.46000693. What is u rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/36*28\/(-20))\/((-351)\/(-46332)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 336 - 334. Let r be d - (4\/(-16) - (-126)\/8). Suppose -i + z = 11, 5 = -2*i + 3*z - 13. Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2.6 (c) -24 (d) 31\/11 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11208 - -654. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9322 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1.3 (b) -0.1 (c) -152 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5705957 - 18294043. Suppose 4*f + x = 2*f. What is f rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:29 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6435 + -808. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1698.5 and 0.007817.\nAnswer: -1698.492183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 29.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 + 31*q**3\/3 - 220*q**2 + 5200*q\/3 - 8000\/3.\nAnswer: -(q - 20)**3*(q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + m**2 + m - 1. Let w be x(1). Suppose -w*r + r + 1248 = 0. Let v = r - 337. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27048515 and 923?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -108\/4183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 888 and 3595156.\nAnswer: 798124632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 909 + -846. Calculate the greatest common divisor of 28 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 2. Let t be x(3). Let s = t + -17. Solve -s*i + 4 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -42*l + 22 + 85*l - 42*l. Let v be n(-20). Suppose -23*u = -28*u. Solve u = -4*g + v - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 265*q + 332. What is the units digit of v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-4 + sqrt(425))*-1 - (sqrt(425) + -5*3*sqrt(425)))*6)**2*3.\nAnswer: 46800*sqrt(17) + 7758300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32578*n**3 - 68*n**2 + 1655 + 32585*n**3 - 97748*n**3 + 32584*n**3 wrt n?\nAnswer: -3*n**2 - 136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3 + 1 + ((-652)\/8 - -73). What is the nearest to -0.3 in -4, 0.09, 1\/4, k?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52067*v = 51995*v + 4896 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -325068452, -325068450, -325068448?\n\"Answer: 2*z - 325068454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmccm. Give prob of picking 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5344.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (882\/756)\/((-2)\/24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.156 + -0.044. Let p = -3.8 - x. Let d = -2 - -2. Is p not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbyywowjt. Give prob of picking 1 y, 1 o, and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -21 + 1470 + -1459 - (1 + -115).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2133 divided by 2133\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 235 times 20309\nAnswer: 4772615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 6. Let m be x(7). Let y = m + -32. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 64. Let y(k) = -19*k - 2. Let g(v) = -37*v - 4. Let x(f) = 6*g(f) - 11*y(f). What is the tens digit of x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 42777.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 4755867.\nAnswer: 123652542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(-2 + (7 - 5)). Let q(t) = 2*t**3 - 5*t + 283. List the prime factors of q(r).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898719601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 1\/3*m**4 - 8*m + 22\/3*m**2 - 8\/3*m**3.\nAnswer: (m - 3)**2*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5 - 275*x**4 - 585*x**3 + 835*x**2 + 1160*x - 1140 = 0?\nAnswer: -2, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17*l**2 - 17*l - 9. Let r(h) = -4*h**2 - 4*h - 2. Let u(m) = -2*i(m) + 9*r(m). Find s, given that u(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56650160 by 8092880.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(675\/(-335) + 2). Find the third derivative of -4*o**6 - 3*o**2 - u*o**3 + 67*o**3 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1305\/7 or 186?\nAnswer: 1305\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.8028 meters in millimeters?\nAnswer: 751802.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -28 - 7 + 38 - 41*d - 3. Let w(c) be the first derivative of -c**2\/2 - 1. Give b(w(s)).\nAnswer: 41*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -476*h**2 - 316*h**2 + 242*h**2 in the form r*h**2 + g + q*h and give r.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**3 + 60*u**2 + 15405*u - 138386. Give k(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 9*j - 17. What is r(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 481 = -2*a, 8*a + 143 = w + 3*a. Suppose -w - 93 = -4*r. Calculate the greatest common factor of r and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b - 157. Let m be u(-25). Let x = 759 + m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277474 (base 10) in base 2?\nAnswer: -1000011101111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*b - 20, -q - 2 - 6 = 2*b. Suppose q*a = a - 75. Calculate the highest common divisor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 37*h**2.\nAnswer: h**2*(h + 74)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 - 4*a + 4. Let j(r) = -r**2 + 4*r + 6. Let o be j(4). Let w(m) = -m + 16. What is the smallest common multiple of w(o) and t(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*z = 2*x + 6, 0 = 5*x + z + 19. Suppose -8*m - 12*m = -120. Sort 1, x, m in descending order.\nAnswer: m, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 117.3\nAnswer: 351.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/58 and 28\/1508783.\nAnswer: 3017566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 9, 4*p + 4*l = 28. Suppose -p*i + q = -109, -4*i - 2*q = 3*q - 120. Let z = 103 - i. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 - -90.00000051. What is r rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 + 0 - (-616 - (-130260)\/208)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-8))\/m)\/((m\/m**(-5\/9))\/m*m*m) assuming m is positive.\nAnswer: m**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -9*n**2 + 1\/160*n**6 + 0 + 0*n - 1\/20*n**5 + 0*n**4 + 0*n**3. Find p such that u(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0626 - -61.2626. Let a = -33.2 + j. Which is bigger: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-63) + 120\/(-42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/4 + 125*c**4\/2 - 13*c**3\/4 - 729750*c**2 + 36724716*c = 0 for c.\nAnswer: -109, 0, 84, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 858665, 1717452, 2576237, 3435020?\n\"Answer: -s**2 + 858790*s - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1898, -2, 23, -0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 16*x - 36 = 0. Let o = -4495\/18 - -251. Find the common denominator of 1\/(-4)*237\/x + -4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -6*y**3 - 4*y**2 + 28*y. What is the tens digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4550 divided by -5\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -21. Solve m*a - 28 = 6*a - 4*t, 3*a + 18 = 2*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -0.9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 25. Suppose 0 = u + 2*j - 2, -5*j = k*u - 4 - 1. Is u at most as big as -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -12)*6\/(-12). Suppose -2*u + 6 = 4*z, 0 - v = -2*u - z. Calculate the smallest common multiple of u\/6*14 + 1 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(31\/2 + -3). Suppose k = 11*q - 6*q. Suppose 19*p - q*p = 12. Solve 8*a = p*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235\/318 - 63\/106. What is the biggest value in -8, 9, 0.2, p?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 26*y**7\/105 + 17*y**3\/2 + 28*y**2. What is the first derivative of w(l) wrt l?\nAnswer: 208*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29284 and -2.\nAnswer: 58568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d*d)\/d)**(-13\/3))**30 assuming d is positive.\nAnswer: d**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 78*o. Let k(s) = -10. Let m(u) = -u - 15. Let f(q) = 3*k(q) - 2*m(q). What is f(x(z))?\nAnswer: 156*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 596 by 4.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 4*s - 3. Let b be p(-8). Solve b*v - 11 = 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.47061 centuries to months.\nAnswer: 54564.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*k - 23 = 34, k + 35 = 3*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 14) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/(-20))\/((-5)\/10). Solve -o - 4 = -4*j - 18, -g*j = 3*o + 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/54654 and 63\/236834.\nAnswer: 710502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 40 + 21 + o + 18. Suppose 0 = -2*p + f + 2, f = -4*p - f + 20. What is the units digit of i(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3078, 4, -121 in decreasing order.\nAnswer: 4, -121, -3078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*g - 17, v - 29*g - 22 = -25*g. Let b = 290\/483 - 16\/23. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 393*u**3*x**4 - 14562*u**3 + 2*u**2*x + 2*u**2 - 19851*u*x**4 - 279*x wrt x.\nAnswer: 4716*u**3*x**2 - 238212*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 5051584.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -573, -1146, -1719, -2292, -2865?\n\"Answer: -573*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyoo when four letters picked without replacement from {o: 2, y: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/2040)\/((-18975)\/(-31625))?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*r**4 + 25836*r**3 + 11130147*r**2 + 4447926*r.\nAnswer: 3*r*(r + 861)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768 divided by -4?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 4. Let p(u) = u - 2. What is -6*o(a) + 10*p(a)?\nAnswer: -14*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*k - 12, -2*k + 2*s + 12 = 4*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let p(t) = 2*t**2 + x*t - 2*t. Let l(y) = -304276*y + 2*y**2 + 304276*y. Give l(p(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1182937638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/42)\/((-3)\/(-6)). Which is the closest to 3? (a) y (b) 2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + (-4 + sqrt(288) + 2)**2 - (-1*(sqrt(72) - ((-2*sqrt(72)*-4 - sqrt(72)) + sqrt(72))))**2.\nAnswer: -3236 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -295, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -588*g**3 + 4*g**2 - 86*g - 382. List the prime factors of l(-4).\nAnswer: 2, 19, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 7 = 12*g. Let o = 8 + g. What is the lowest common multiple of 8 and 16 + -12 - -34*o?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k - 2*k + 4 + 6*k to the form s*k + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*n + 34855 - 35031. Factor 6050\/9*u - 4180\/9*u**2 + 2\/9*u**5 - 2662\/9 - 70\/9*u**n + 860\/9*u**3.\nAnswer: 2*(u - 11)**3*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -102 - 1489*u + 773*u + 728*u. Give l(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-2)\/(-20))\/3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*c**2 + 4 - 9 - 62*c**2 - 71*c**2 - 375*c + 199*c**2 in the form r*c**2 + g + w*c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 times -11?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**9)\/b**(1\/14))\/(b**(-3)*b)**(-3\/7))**11 assuming b is positive.\nAnswer: b**(1397\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1144377, -2288754, -3433131, -4577508, -5721885?\nAnswer: -6866262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 455, 17, 2, -6, 0 in decreasing order.\nAnswer: 455, 17, 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 - 42650*c - 127995 = 0 for c.\nAnswer: -3, 8533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-63) - (-5721)\/(-7). Let j = p + 1655. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002.38602 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 704, 1047, 1390?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 113*h - 391. Give o(-53).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/9 in 27\/2, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325683577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856279.\nAnswer: 101, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k. Let c be 3 - 6 - -2*7. Let o(t) = -c*t - 12*t + 21*t. What is o(n(w))?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003719 to seven decimal places.\nAnswer: -0.0000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -9*m + 14*m - 24, 0 = -5*a + 3*m - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -466, -396, -326, -256, -186, -116?\n\"Answer: 70*w - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 73*m - 78*m. Let h = 39 + m. Let k = 12 + -8. Which is the closest to 0? (a) 1\/13 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (43\/(-3))\/(-1)*15\/(-30) and -47\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 2744*o**2 + 1853780*o - 7459088.\nAnswer: (o - 4)*(o + 1222)*(o + 1526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = -4*l + 9, -2*l + 2*d + 6 = 0. Let h be 3\/2 - l\/(-6). Factor v**2 - 4*v**2 - 4*v**h - 3*v**2 + 2*v + 8*v**3.\nAnswer: 2*v*(v - 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -0.07 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120\/(0 + 4\/(-4)). Let s = 38 + w. Let o = -81 - s. Is o <= -1\/168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-eight sevenths of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 92013.\nAnswer: 736104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4461372 to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 8.8\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -12\/5*a**3 - 2*a - 29\/5*a**2 + 0 = 0.\nAnswer: -2, -5\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 22*z + 201. Let y be o(-7). Does 25 divide 75\/(y\/(144\/(-8)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t + 4. Calculate j(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12446 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (54 + 1) - (5 - (-1 - 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 129. Let j(s) = 2*s**2 + 10*s - 19. Let t be j(-8). Suppose 32*y - t*y = 33. Calculate the highest common divisor of g and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*sqrt(36)\/sqrt(3))\/(sqrt(726) - (sqrt(726) - -2*sqrt(726))).\nAnswer: -5*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 q when three letters picked without replacement from bqxxbblbooqm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b - 328 = 80*b. Find the first derivative of -24 - 1 + b*r - 35 wrt r.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.4, -4\/5, -0.019, -3 in ascending order.\nAnswer: -3, -4\/5, -0.4, -0.019, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w - 5*w - 5*w - 11*w + 25*w + 14*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 199377.\nAnswer: -159501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 64945194?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-119)\/(-28) + 2\/(-8). Suppose -2*w + 5*w - 11 = 5*t, -4*w + 5*t = -13. Let i(r) = w*r + r - 4*r + 6. Calculate i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*z + 630 + 3*z**2 - 4*z**2 + 596 - 1179 + 21*z to the form o*z + t + a*z**2 and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1242648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83326118*d**2 - 105915818 wrt d.\nAnswer: -166652236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193515 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leccc. Give prob of picking 1 c and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-6) - 11745368\/(-816).\nAnswer: 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -258, -8, -2, 63 in descending order.\nAnswer: 63, 5, -2, -4, -8, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 3.3. Which is the nearest to l? (a) 1 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from nonaonn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 3. Let p be h(0). Let k be (-22)\/p + 3*1. Let f = 3.9 + -4. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3828, 7662, 11482, 15282, 19056, 22798, 26502, 30162?\n\"Answer: -x**3 - x**2 + 3844*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-1\/3)\/(y**(2\/13)*y**7))\/((y**(-1\/5))**(3\/2)\/(y\/((y*y**(-2\/23))\/y)*y*(y\/(y*y**(-3)\/y))\/y)) assuming y is positive.\nAnswer: y**(-14653\/8970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**4\/24 + 7*b**3\/6 - 9*b**2. Give k(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -25*d - 6. Let m be v(-2). Calculate the smallest common multiple of 20 and 4\/((-2)\/m*-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/8*(-16)\/10. Let l(z) = 6*z**2 + 3*z + 2. Let v be l(-1). Suppose v*w - 18 = y*w. Is 16 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603907731.\nAnswer: 3, 7, 355031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 332 = -2*v. Let s be 2\/8 + v\/(-4). Let c = -20859 + 20864. Solve -3*k - c*j + 23 = -12, -4*j + s = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, 8\/5, 12, -0.3 in descending order.\nAnswer: 12, 3, 8\/5, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njcsczi. What is prob of sequence jizn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -379 + 537. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(15\/(-6))\/5. Let w be 5\/1 + 19894\/(-3969). Is h less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8*p + 12. Let l(n) = n + 5. Let o be l(-5). Find the second derivative of -r + 4*r + p*r**3 + o*r wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 19 = 3*u, u = -5*h - 117 + 96 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - (0 + -3))*(-350)\/40 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3 + 432*c**2*d**2 - 94*d**2 wrt c?\nAnswer: 3*c**2 + 864*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.32869 + -0.11831. Let w = -6.5 - r. Round w to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388832 = -4*y + 4*o + 388924, -y - 6*o = 103 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 397471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651968.4414 minus -0.2?\nAnswer: -3651968.2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 565105.2 nanograms?\nAnswer: 0.0000005651052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - d - 2662, 12*o + 1338 = 14*o - 4*d. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 382484376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4686 (base 14) to base 6.\nAnswer: 132450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353325 (base 6) in base 7?\nAnswer: 155105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k - 1123 + 427 + 431 + 265.\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.74 + -1.6. Let c = 0.24 - w. Which is smaller: 14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (42\/(-16))\/((-9)\/204)*(-33 + 1299)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 13. Let h be z(-11). Let q be ((-1)\/(-3))\/(1\/h). Is (507 - -2)*(-3)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166486, -665988, -1498492, -2663998?\nAnswer: -4162506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-168))\/((-483)\/(-552))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = 5*h + 12, 5*v = 0. Let t be 1 + 1 - (-72)\/6. Suppose n = -3*n - 3*c + 10, n - t = 5*c. Put h, -5, n in increasing order.\nAnswer: -5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 115cb1 + -d?\nAnswer: 115ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 1105811616.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/61, -15, -749 in ascending order.\nAnswer: -749, -15, -10\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-24)*9\/147. Let w = 2\/26309 + 815383\/2578282. Let y = w + j. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 989 divide 3077768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 138.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -5, -2, 3\/4, -89 in decreasing order.\nAnswer: 3\/4, -0.05, -2, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s = 64*s - 96. Suppose 5*l - s - 39 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 403 + 424 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -746.5 + 746. Sort 2\/13, s, -5, -157 in descending order.\nAnswer: 2\/13, s, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 5*w**2 + w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - z + 16. Let s = -14 + 14. Let b be n(s). Solve 5*f = 6 - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.92066 to two decimal places.\nAnswer: 177.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 2\/3, -1\/3, 1, -139, 0, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21077487 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 2*n + 80205, n = -2*f + 9761 + 8058. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 5*l + 13. Calculate the remainder when 131 is divided by r(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12432 - 12431.999928115. Round p to seven decimal places.\nAnswer: 0.0000719","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b458 (base 13) to base 10\nAnswer: -24916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6335, -24795, -55561, -98633?\n\"Answer: -6153*b**2 - b - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16331866 and 510.\nAnswer: 244977990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 10*t. Sort t, -2, 7 in increasing order.\nAnswer: -2, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + -1 + sqrt(2) - -2*2*sqrt(2) - ((2 + sqrt(3872))**2 + sqrt(32)).\nAnswer: -3877 - 174*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56649192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 10*y**2 + 11*y + 27. Let r be o(-11). Let s = -209 - r. Solve -s = x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-99))\/((-1)\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1169 - 1169.0000543. Round r to 6 decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n + 20. Let i(b) = -2*b + n*b - 5*b + b. Let q(r) = 12*r**2. What is i(q(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/782100 and -167\/30?\nAnswer: 782100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4 = 2*x, -36*y + 35*y = -x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from xyxyyxyxyyyxyxxxxxy.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + -2*((sqrt(5) + 1)*-4 + 3*sqrt(20))*2*-5 + -5.\nAnswer: -82 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*k + 2*k = 0, 14 = 4*u + 2*k. Suppose -12 = u*r, 3*z + 2*r = -z + 22. What is the remainder when z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43005 and 6.\nAnswer: 86010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 12*c + 5. What are the prime factors of m(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8072 and 50.5.\nAnswer: 407636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46973 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:29 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssspn. What is prob of picking 1 p and 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 77, 88, 0.2, -7 in decreasing order.\nAnswer: 88, 77, 3, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/60*(-6)\/15*(-5 + 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - 4 - (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15207, 30406, 45601, 60792, 75979?\n\"Answer: -2*r**2 + 15205*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3836\/11353?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7436262260?\nAnswer: 2, 5, 7, 241, 220399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (40 + -10 - 17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i**2 - 6*i - 10. Let f(v) = -34*v**2 - 12*v - 20. Let b(w) = -6*f(w) + 11*r(w). Let z be 3\/9 + (-3)\/((-9)\/(-10)). List the prime factors of b(z).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q - 54. Let d be j(5). Put 0, 2, d in decreasing order.\nAnswer: d, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*k + 10. Let f = 145 + k. Suppose -u - 342 = -5*q, 2*u + f = 5*q - 179. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-126) + 102\/(-459).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -18. Suppose 5*y - 25 = m, -s*y + 6*y = 2*m + 20. Suppose m*p = -4*p + 32. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 40 - 104. Find the common denominator of -47\/8 and (-42)\/16*(-1)\/(o\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - 3*s - 8. What is the smallest common multiple of v(-6) and 78\/5 + (-22)\/(-55)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -28. Put l, 3, -4 in descending order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -5*p + 50, -568*p + 4*g = -563*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 5*h**4\/24 + h**2. Suppose -2*j - g + 4488 + 62 = 0, g = 2*j - 4542. Let i(p) = 1136 + 1137 - j + 4*p**2. Determine i(k(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttnnthhtn. Give prob of sequence nntt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*-2*1\/(-4). Suppose 4*x + 4*p = 0, 7*p = -x + 3*p - 9. Suppose -z - z - d*r = 15, x*z - 10 = -r. Solve z = 3*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -11 - 9. Let n = 41 - 39. Let k(b) = 0*b**n + b + 4 - 6 + s*b**2 + b**3. Give k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -4. Let g = m - 10. Let j(w) = -2*w - 3. What is the tens digit of j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(2)*2 - (sqrt(28)\/sqrt(2))\/sqrt(7))*-1 + 1 + 0 + (sqrt(2) + 1)*1)*-2)**2.\nAnswer: 192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 97 - 72 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3129\/10 - 1623\/5. Find the common denominator of d and 1\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085770 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 31*d**3 + 3*d + 2. Give x(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrr when three letters picked without replacement from rwwwwrrrrwrrw.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -453521 (base 6) to base 16\nAnswer: -9619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, -13, -0.2, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 1 = -5*u - 29, 2*u = -5*f - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-16)\/4)*5\/(-2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**7\/30 + q**6\/40 + 375*q**4\/8 - 712*q**2. What is the second derivative of f(x) wrt x?\nAnswer: -84*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -90*s - 78*s + 176*s. Let r(i) = i**2 + 4*i**2 - 3*i**2. What is r(n(w))?\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 17 = -69*q. Solve -o - q - 1 = 5*n, 2 = -2*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4541.\nAnswer: 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - z + 7 = 0, 19 = -2*x + 5*x + z. Let g = 6919 - 6916. Calculate the lowest common multiple of ((-4)\/x)\/(4\/(-498)) and g.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -8*d**5 - 42*d**2 - 4*d**5 + 3*d**4 + 9*d**5 + 33*d - 2 - 7 + 18*d**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22504301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6344 - 6344 + 699*d - 705*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/1518*(-30 - -30) + 25\/(-23) + 1.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7530?\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3 + sqrt(275) + -1 + sqrt(275) + -1 + sqrt(275) + 0)*-5)**2*-5.\nAnswer: -309499 - 3750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose -9*b = -w*b. Find x such that b + 0*x + 1\/4*x**2 + 1\/4*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.446 + 0.4453415. What is z rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 1, 1\/2, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 10. Let a be l(-7). Let j be -2 + ((-15)\/(-2))\/a. Factor v**3 - 3\/2*v - j - v**2 + 1\/2*v**5 + 3\/2*v**4.\nAnswer: (v - 1)*(v + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1)*(-4*m + 3*m + 0*m)*(-11*m**3 + 8*m**3 + 6*m**3) - 33*m**5 + 84*m**5 - 27*m**5.\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 8*q - 17. What is b(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let q(v) = -v**3 + 14*v**2 + 15*v + 20. Let d(t) = 2*f(t) + q(t). Let c be (-468)\/(-30) + (0 - (-3)\/(-5)). What is the units digit of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 294*i + 1. Let x = 29 - -6. Suppose 0 = -27*g + x*g - 8. Does 30 divide v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*s**3 + 581*s**2 - 1338*s**2 + 757*s**2.\nAnswer: -165*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*f + 68876 - 41651 = 0 for f.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 11:53 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*s - 8 = 0, 0 = -5*l - 2*s + 3*s + 10. Suppose -4*v + 68 = -l*q, -2*q - 39 + 123 = 4*v. Calculate the greatest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -661*k**2 + k + 17.\nAnswer: -1322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3761, -7520, -11335, -15206, -19133?\nAnswer: -23116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 76, -8, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(5\/17)\/(q**4\/(q*q*q**7)) assuming q is positive.\nAnswer: q**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 4*v - 3. Let o be y(-5). Suppose 3*f - 14 = -5. Let z be 1 - (-1 + f\/3). Solve -5*g - w = 26, -2*g - o*w - 13 = -z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.69 - -5.7. Sort -2, -4\/7, 3, v in increasing order.\nAnswer: -2, -4\/7, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80983 or -80982?\nAnswer: -80983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59179.03 years in decades?\nAnswer: 5917.903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -75*a**2 + a. Let j(d) = -2*d**2 + 12*d + 84. Let g(h) = h**2 - 5*h - 35. Let i(r) = 12*g(r) + 5*j(r). Give z(i(c)).\nAnswer: -300*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 3:48 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1308)\/9 + (-2)\/3. Let n = -53560 - -53415. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*28\/1120*1*1*-15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1339 + 411 - 4*v + 928 + v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7610*y - 7610*y + 24*y**3.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**12*z**(-8))**(1\/38) assuming z is positive.\nAnswer: 1\/sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-8))\/((-2)\/4). Factor u*p**2 - 12 - 13 + 28 - 6*p.\nAnswer: 3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/((-114)\/36) + 18\/2. Sort r, 9981, 1\/5 in descending order.\nAnswer: 9981, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*u + 5\/2 + 5\/4*u**2.\nAnswer: 5*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(3 + 5 - 5)*(2*g - 4*g - 2*g) + (-21 + 8 - 3)*(3*g + 0*g + g).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 83 + 3 = -4*h, 4*l + 163 = -6*h - 4*h + 17*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**2 + 77*s**2 + 79*s**2)*(-5*s + 4*s + 3*s).\nAnswer: 298*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-24)*(-29)\/(4901\/546)*-13?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 15 - 85. What is the derivative of -n*w**3 - 25 - 4*w**3 + 10 wrt w?\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*b + 51, -b - 2*b = 5*p - 39. Put 1, -4, p, 5 in descending order.\nAnswer: p, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5753038 or 5752886?\nAnswer: 5752886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -1014, -1024, -1034, -1044?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - m**2 + 1 + (2 - m**2 - 2)*(2 - 5 + 0) + (0*m + 4*m - 126*m)*(-3*m + 4*m + 0*m) to the form f*m**2 + u + c*m and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1131\/69140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7605351 (base 9) in base 2?\nAnswer: -1111100011101011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0 + 0)*(-42 + 247 + 99).\nAnswer: 608*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293814*i**6 + 6*i**2 + 4159*i?\nAnswer: -35257680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 22*v**2 + 58*v + 3. What is the tens digit of j(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 278*i - 1424217600 = -46*i. Round i to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1297\/24 - 161\/3. Sort m, -4, 2 in descending order.\nAnswer: 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 537.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let y(t) = -t**2 + 22*t. What is y(a(d))?\nAnswer: -d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13135 + 0.03.\nAnswer: -13134.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 + 142*w - 1041. Calculate q(-22).\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4 = 2*m, 5 = 3*m + 2*l - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -30.7. Let h = -0.184 + -4.816. What is the nearest to h in b, 2\/13, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:57 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/13 (b) -2\/9 (c) 229 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*i - 3*i - 1 + 11*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 24 = -304 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {g: 1, k: 8, u: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -62625.4 to the nearest 100.\nAnswer: -62600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-21)*-15*(-13)\/(-390)*-6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405305530?\nAnswer: 2, 5, 7, 19, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283 is divided by 208.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1848305.88 - 1848304.41399377. Let v = -1.466 + g. What is v rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -632 - -635. Suppose 5*w + 8 = -2, -2*w = -i*p + 7. Do 264 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2420 * -594.\nAnswer: -1437480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-324)\/16 - 3\/(-12). Is (h\/(-3))\/((-6)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -4 - (-6 + 11 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + -2 + sqrt(684) + 2)*5*5)**2.\nAnswer: 22500*sqrt(19) + 433125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let l = -861 - -855.91. Let m = l - -0.09. Which is the second biggest value? (a) -2 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (60 + (-3 - 66))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-295)\/(-236)*2\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Suppose 4*n = 2*h - 7 + 3, 5*n = 3*h - 5. Let r = -114 - -567\/5. Sort r, x, h.\nAnswer: x, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2 + 2*j - 9*j**3 + 3*j - j**2 + 8*j**3. Let r be l(-3). Let b = 55 - 35. Solve b = m - r*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1010011010100?\nAnswer: 1010011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 33. Suppose -5*v + 515 = 3*g, 0 = -0*g + 5*g + q*v - 875. Let d be (-165000 - 0 - 0)*g\/(-3). What is d rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1666 (base 10) to base 2\nAnswer: 11010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010121755773 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -343\/3. Let p(f) = -f**3 + 8*f**2 - 6*f - 6. Let k be p(7). Let s = 0.4 - 1.4. What is the third smallest value in s, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*-2*1\/3. Suppose 0 = p + 2*k - 2 - b, 6 = 4*p + 3*k. Suppose 0 = 2*y - 8 + 4. Sort p, -3, y in descending order.\nAnswer: y, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*h - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:46 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.670252 from 162426.\nAnswer: 162424.329748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2*l**6\/15 + 2*l**4\/3 + 9*l - 5. Let y(f) be the first derivative of r(f). What is the third derivative of y(g) wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 2*j - 3. Let y(q) = -q**2 - q + 1. What is -t(k) - 6*y(k)?\nAnswer: k**2 + 8*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -79661.9 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + 18*j**3 + (-4*j**3 + 3*j**3 - j**3)*(0 + 0 + 1) - 4*j**3 - 4 + 4 + j**3 + 0*j**3 - 3*j**3 - j + j + 2*j**3 + (2*j**2 + 1 - 1)*(1 - 1 + j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1081)\/46*(-5 + 3) is divided by 21 + (-1 + 5)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let g(l) = -2*l + 2. Let n(r) = -3*g(r) + 12*w(r). Suppose 0 = -5*c + 167 + 63. Calculate the remainder when c is divided by n(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 5*g + 45, g + 5 = 2*b. What is the second derivative of -4*d**5 - 9*d**5 + 15*d**b + d wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.4. Let u = 0.42 - -0.08. Let l = -2 + 2.4. What is the nearest to t in u, -1.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 56. Let z = 3 + u. Suppose w - z + 127 = 5*i, 5*i + 4*w = 116. What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -83. Let z be 229\/7 + 5\/(140\/8). Suppose -3 = b + 3*v, -2*b = -5*v - 5 - z. What is the remainder when y is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = 3*d. Let i(n) = -5*n + 1. Calculate the least common multiple of 4 and i(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = -2*t. Let y = 1 + t. What is the third derivative of y*b**2 + 2*b**6 - 2*b**6 + 3*b**6 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = 179*g - 2850 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 6*l + 6. Let r be s(4). Let w be (0 - r) + (-7 - -8). What is the second derivative of -w*c + 5*c + 4*c**4 - 2*c**4 - 9*c**4 wrt c?\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*q + 4*v - 86 + 44, 2*v = 3*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n**2 - 5*n + 1. Let v be a(-4). Let s = v - -3278. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -687, -1380, -2073, -2766, -3459?\nAnswer: -4152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 380 - 125. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 3. Suppose 5*n + 9 = 4*n. Let r(t) = -t**3 - 9*t**2 + 6. Let j be r(n). Solve -3*l + y = -j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2304, 4672, 7040, 9408?\n\"Answer: 2368*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15885.\nAnswer: 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 25. What is the highest common factor of w and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704162 at most as big as 1704164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**5*o + i**4*o - 4*i**2*o + i - 116*o wrt i.\nAnswer: -160*i**3*o + 12*i**2*o - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2290321912 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*o = 8, 3*c = c + 3*o + 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) 2 (c) -18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24938 by 8506.\nAnswer: -12469\/4253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -860699 + 585692. Let u be q + 8 + -1 + 0. What is u rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326 (base 15) to base 10\nAnswer: -711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29573 is divided by 298.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1807664 centuries to years.\nAnswer: 18.07664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -23. Suppose 46 - 171 = -3*c - 5*f, l*c + 5*f - 85 = 0. Suppose -z - z = -c. Solve z = -5*p + p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 7*v**2 - 5*v + 17. Let j be w(-8). Let i be 7\/(j\/3) + -9. Let a(c) = c**3 + 14*c**2 - 2*c - 14. Is a(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4\/9 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 + 12*o**3 + 8*o**2.\nAnswer: -4*o**2*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.03 (b) 1 (c) 41\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from jjjwjjwjjjw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3817.2578 to the nearest 10.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13.50738*-0.1\nAnswer: -1.350738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 684454 or 684294?\nAnswer: 684294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 7770 - 155 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*u - 13*u. Let w be (-2)\/6 - 86\/(-6). Suppose w = 5*s - 2*d, 0*d = 5*s - 4*d - 18. Solve 6*q - q = u*i + 9, s*i + 2*q - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {m: 2, y: 1, e: 14}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3974700 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 124391*k**3 - 124405*k**3 + 2*k - 5*k**2 + 3*k. Let m(v) = 119*v**3 + 42*v**2 - 42*v. Give 5*m(f) + 42*x(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*g + h, -2*h - h - 9 = g. Suppose 0 = -4*q + 6 + g. Solve -q*s = s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)*q**(-10\/9)*q**(-22)*q*q*q**37*q assuming q is positive.\nAnswer: q**(751\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b + 9 = 43*b. Let u be 3 - (-2 + -1)\/(b + -4). Suppose -19*o + 24*o - 315 = u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16471000 to the nearest one hundred thousand.\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 18 - 47 - (2 - -31).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w**3 + 33145*w**2 + 2194595*w - 550720 = 0 for w.\nAnswer: -64, 1\/4, 1721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1065 and 19677579.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/144 and 19\/23730?\nAnswer: 569520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7138 + 7135. Let t = -37 - -55. Put t, -1, a in descending order.\nAnswer: t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 53*k + 2840. Calculate l(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k**(-8\/3)\/k)\/k)\/k*k)\/((k\/(k\/k**(-11)*k))\/k)*(k*k**(-1\/10)\/k)**28 assuming k is positive.\nAnswer: k**(113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1459*m**2 - 2907*m**2 + 3*m**3 - 4*m**3 + 1448*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 5*v**2 + 3 - 6 + 0 + 4*v**2. Suppose -4*r + 3*u - 2*u + 19 = 0, -r + 10 = -2*u. What is f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31023 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*-2*sqrt(2016)*-2)\/((sqrt(64)*2*-5)\/(sqrt(128)\/sqrt(4)))*-4)**2.\nAnswer: 2322432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 447120997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2*q**3 + 29692*m**2*q + 2*m*q - 2*q**3 - 227*q**2 wrt q.\nAnswer: 18*m**2*q - 12*q - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-2403)\/(-51264)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.33 + -0.57. Let c = -3.1 - j. Let s = 5.5 + -0.5. What is the closest to c in -5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 41*u**2 + 88*u + 3. Determine y(18).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*i - 16, 0*i = -3*u - 2*i - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 720879.80000625 + -720875. Let d = v - 4.8. What is d rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -322 - 55?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - -12 - (-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 14 - 41 = 10*m, -2*y - 662 + 654 = 3*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*b**3 + 2 - b**2 - 22*b + 2*b**2 - 76*b**3 to l*b + x*b**3 + w*b**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.226*-22\nAnswer: 26.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*w - 20 = 0, -2*h + 3*w = h + 15. Let z = h + -3. Let n = 22 + z. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (0 - 4) - -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**2 - 15*m + 39*m**3 + 63*m**2 - 48*m**2 as j*m + k + f*m**3 + g*m**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:31 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*p**2 + 12*p**3 - 25*p**2 + 6*p**3 - 3*p**3 - 2*p**3 + (-1 + 1 + p)*(-2*p**2 + 2*p**2 + p**2) - 2*p**3 + 3*p - 3*p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014094 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 5*v + 34, -5*b - 3*v + 47 = 0. Suppose 0 = -4*f - 5*c + 2497, -1874 = 4*f - b*f - 5*c. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.9. Let x = -9.93 + 10.8285. Let j = x + f. What is j rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2adcf + -1c?\nAnswer: 2adb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 3. Let a = -3 - 0. Suppose -4*z + i + 6 = 0, 4*z - i + 2 = 4*i. Let o be (z - 3) + a\/(-1). Calculate k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s. Let n be w(1). Suppose -4*v + 45 + 47 = 0. Let o be 4*v + -9 + 5. Calculate the greatest common factor of o and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23993.093 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9680, 19392, 29104?\n\"Answer: 9712*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1313, -760, -2, 5, 1, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 156014014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-21 - (-4 + -3 + -10))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*-96.42\nAnswer: 96.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 205, 466, 839, 1330, 1945?\n\"Answer: d**3 + 47*d**2 + 7*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 - 157. Suppose 0 = -4*l, -4*l - 21 = -3*k + l. Calculate the remainder when o is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 658, 1\/3, -1\/87 in descending order.\nAnswer: 658, 1\/3, -1\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -647874.\nAnswer: 2\/323937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 1680?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3428 and 42218391.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-18)\/(-18))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 418248013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/42 and 34\/81.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1109, 5 in decreasing order.\nAnswer: 1109, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/2))**(-12)*s**24\/s**(1\/24) assuming s is positive.\nAnswer: s**(-145\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 36. Let g be w(-10). Suppose -2*l - 30 - 4 = -g*x, -5*l + 58 = 3*x. Calculate the highest common divisor of x and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1790.672\nAnswer: 537.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.03 + -2.03. Let z = 1\/28 - 2\/7. What is the closest to z in -12, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -5 (c) 4\/5 (d) -3211 (e) -14 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92909925 and 11850.\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + -9. Let m = a - -14.9999993. Round m to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let y(x) = -729*x**2 - 3. Give l(y(q)).\nAnswer: 531441*q**4 + 4374*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277274 is divided by 179.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 1697 + 3338 + 1182 - 1042)*(-3*f**3 - f**3 + 2*f**3).\nAnswer: -10150*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecbcbcbbbiizibizizb. Give prob of picking 1 z and 3 b.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403 and 5260814?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 9 - 33. What is the least common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0 - 2*h + 0)*(0*h**2 - 4*h**2 + 6*h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*g - 26, 0 = 5*g + 3*h + 1 - 3. Let u(p) = p**2 - 5*p - 6. Let l be u(6). Suppose -4*s + 8*s - 12 = l. Put -3, g, s in increasing order.\nAnswer: -3, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 113, 1 in increasing order.\nAnswer: 1, 38, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 2. Let f be r(2). Suppose 0 = -2*b - 10, f*k + 2*b - b - 3 = 0. Suppose -3*x + 9 = -15. Calculate the greatest common divisor of k and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980.31ml in litres?\nAnswer: 8.98031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2109*t - 771838. What is f(-366)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452208 is divided by 491?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 60858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooododoqdoddoq. What is prob of picking 2 d and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, a: 1, v: 1, f: 1}. What is prob of sequence vaf?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8726\/15687 + 34\/2241. Suppose -l*i**3 - 4\/7*i**4 + 2\/7*i**2 + 5\/7*i - 1\/7*i**5 + 2\/7 = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171))**2*5.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63090 divided by 59?\nAnswer: 63090\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbhwt. Give prob of sequence hp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -113. Let j = -0.4 - -0.4. Let y = -14.282 - -0.282. Which is the nearest to j? (a) 2 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6114 - -6605. What is the remainder when i is divided by 210?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 1. Let k(c) = -192*c - 3. Let l(b) = k(b) - 4*x(b). Let a be l(-1). Let n = 267 - a. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/12 - 2*g**3\/3 - 3*g**2\/2 + 14*g. Calculate j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28588 divided by -7147.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) 5 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/26? (a) 3 (b) 0.1 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -3.7. Let z = h + 5. Let y = -11.7 + 12. What is the third biggest value in 4, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -2*k - 173. Let u = -83 - k. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 320573\/36 + -8906. Calculate the common denominator of 63\/128 and z.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12400836 minus -555.32124?\nAnswer: -12400280.67876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 - 173. Let n be (-15)\/3*1 - (-9 - -4). Let z(t) = 3*t**2 + t + 15. Let d be z(n). Calculate the greatest common divisor of o and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3668*l + 839046 = -10406*l + 286530 for l.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*s - 14, -555*y + s = -556*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2119, -3146, -2603, 296, 6337, 16306, 30989?\n\"Answer: 131*j**3 - j**2 - 1941*j - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/6 - 67*u**2\/2 - 409*u\/6 + 203\/2 = 0. What is u?\nAnswer: -3, 1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + 1?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/3)\/s))\/(s**(-1\/2)\/s)*s**(-1\/8)\/(s\/((s*s\/((s**(-2)*s*s*s)\/s)*s)\/s)*s))**(-4) assuming s is positive.\nAnswer: s**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*3\/(-21) - 1. Which is the closest to -1? (a) s (b) 2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.88 - 43.88. Let x = i - -17. Let m = x + 25.95. What is the third biggest value in m, 1\/3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + k + 51 = 0, -3*k + 0*k + 34 = 2*j. Solve 6*o**3 + 3*o**4 + j*o**5 - 1 - 10*o**5 - 3*o - 2*o**2 - 4*o**3 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 - -7 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 (base 6) in base 9?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 83*j**2 + 62*j - 2244. What are the prime factors of s(-78)?\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*-1*((-90)\/81)\/1\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -4*f - 3, 3*f + 6 = 0. Let g = -107\/10 + 46\/5. What is the nearest to 3 in v, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 5, 12, 33, 74, 141?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppkkpkkkpkkpkppk. What is prob of picking 3 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -881792*h**4 - 12613*h?\nAnswer: -10581504*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -6, 0.4, -4, -622 in descending order.\nAnswer: 0.4, -0.2, -4, -6, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 12 = -8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 162*u\/5 - 1296\/5.\nAnswer: -2*(u - 72)*(u - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37224 divided by -12408\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(2673) + sqrt(2673)))\/(sqrt(891)*2 - sqrt(44)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -2, -4, 135, -1 in descending order.\nAnswer: 135, -1, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1792651 and -0.2.\nAnswer: -1792651.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/6 + 31*g**3\/2 + 245*g**2\/2 + 3190*g. Find d such that p(d) = 0.\nAnswer: -5\/2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*u - 0*u + 455, 0 = 3*a - 15. Calculate the highest common divisor of u and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - 8*s - 5*s - 7*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12.07. Let l = -0.47 - d. Which is the biggest value? (a) 1 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - 1) + (8 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14\/((169\/17147)\/13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*w - 1, 0 = -0*a + 3*a + 4*w - 11. Put a, -5, 2, -1 in decreasing order.\nAnswer: a, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32945024 divided by 74368\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.08149.\nAnswer: -0.032596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392*b*g**3*r + 84*b*g**3 + 51*b*g**2*r + 2*b*g**2 + 6*b*g*r - 3*g**5 - 11*g wrt g?\nAnswer: -2352*b*r + 504*b - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 + (-62)\/(-6). Suppose 3*h = v - 1. Let n(i) = -7 - i**2 + 6*i - 15*i + 11*i + 3 + 1. Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 297518, 297468, 297334, 297074, 296646, 296008, 295118?\n\"Answer: -7*v**3 - v + 297526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -816 - 369. What is the remainder when 101 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 437\/15 - 18\/135. Suppose 6848 = i*a - 26632. Calculate the highest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73442, 75786, 79690, 85154, 92178, 100762?\nAnswer: 110906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvvf when four letters picked without replacement from {f: 4, p: 2, v: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3451504 + -3?\nAnswer: -3451511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 3. Let q be z(0). Suppose q*u = 6*u + 31500. Round u to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10)\/(sqrt(8)\/sqrt(4))))\/(sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*-1 + sqrt(108))*-3)).\nAnswer: sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 78. Let b(q) = -2*q + 77. What is -7*b(v) - 6*l(v)?\nAnswer: 2*v - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let q = 577\/42 - 79\/6. Let s be (-4)\/2*(-25)\/(-20). What is the biggest value in i, s, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 321, 1294, 2917, 5190, 8113?\n\"Answer: 325*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -28. What is the units digit of 5678\/119 - p\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 12834?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.9 - -99.6. Let s = n + 57. Sort -3, s, 6 in ascending order.\nAnswer: -3, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 843066 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -2*i**5\/5 + i**4\/2 + 3277*i**3\/6 + 747*i**2 - 5*i - 2. Find the first derivative of o(r) wrt r.\nAnswer: -48*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 25*m + 17. Calculate b(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10965 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -144?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 9, 2*m - 3 = z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 54. Let s be (-7)\/2*(-24)\/14. What is the greatest common factor of l and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 6750536493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -8 + 12 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 - b. Let j be m(1). Suppose 2 + 2*p**j + 2 - 6 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o**2 - o**2. Let w = 22 - 11. Let k(r) = w - 2*r - 7 - 4. Calculate f(k(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6346 is divided by 1280?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.95. Let n = j - 0.05. Let a = -1.4 + n. Sort 2, a, -2 in increasing order.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 5*o, -4*c = 5*o - 6*o + 12. Sort -579, -3, -1, c, 0 in ascending order.\nAnswer: -579, c, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-189) + 9\/7. Let a be g\/(14\/20 + (-2)\/4). Suppose -6 = -3*w + 6. Solve a*b - 16 = -w*c, 0 = -c + 2 + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*g - 8*g - 3*g)*(3 - 3*g**2 - 3)*(g - g - 2*g) as a + l*g**4 + r*g**3 + y*g**2 + q*g and give l.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 477 + -467. Solve y = u + l, 4*u + 5*y = -0*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 31.8. Let q = r - -2.79999934. What is q rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (4 - (6 - (-7 + 11) - 2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419617085 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**12*(q**(-3))**(-2\/99) assuming q is positive.\nAnswer: q**(-1186\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - o + 6 = 0, 0 = 5*t - 4*t - o - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (5 - (5 - 5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 5*d**2 + 13*d. Let h(s) = 2*s**3 + 2*s**2 + 6*s. Let p(m) = -13*h(m) + 6*y(m). Determine o so that p(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 2*j**3 + 2*j + (-j**2 + 5 - 5)*(9*j - 2*j - 5*j - 27).\nAnswer: -4*j**3 + 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 63*-0.3\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1.1, 6.48, -18, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2100, 2118, 2136, 2154, 2172?\n\"Answer: 18*s + 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 - w**3 + 2*w**3)*(596 + 2839 + 1519 + 93) to c*w**2 + q*w + o + d*w**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1957865108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 0, -2*k = -v + 5*v - 36. Suppose -v = 2*h - 1. Suppose -5*c + 13 + 7 = 0. Sort c, 3, h in decreasing order.\nAnswer: c, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.11 + 27.31. What is the nearest to 5 in 3\/8, 1, 0.1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q. Suppose -2*y + q*y + 150 = 0. Calculate the highest common factor of y and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 14 + 14)*(-78*a - 13*a - 8*a) - a + 3*a**2 + a**2 - 6*a**2.\nAnswer: -398*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 8*f. What is the tens digit of 54\/(-4)*-2 - f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 + 2560*n - 231499. Determine u(202).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 2*x**2 + 6*x**2 + (-3*x - 1 + 1)*(-7*x + 0*x + 6*x))*(1 - 3 + 1) in the form y*x + h + w*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2092 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -46, -97, -160, -229, -298, -361?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-316)\/(-6) - (-8)\/(-12). Let g be (-3)\/(-9)*24\/y. What is the smallest value in -0.02, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let a(j) be the second derivative of -11\/4*j**4 - 5*j + 0 + 0*j**3 + 0*j**2. Calculate l(a(y)).\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 + -98. Let w(l) = 15 - 20 + l + x. Let i(c) = 6*c + 3. Calculate i(k) - 2*w(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 2*s + s)*(4*s + s**3 - 4*s) + 35165*s**2 - 17624*s**2 + 56*s**3 - 17541*s**2 - 160*s**4 - 2 to u + d*s**3 + p*s**2 + g*s**4 + z*s and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - 4) - (-14 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 778550?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 2*y - y + 3*y + 2*y. Let x(a) = -287*a. What is u(x(l))?\nAnswer: 287*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from bybbbgbbggyybygyggy?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/3)\/((-10)\/75). Let a = 2 - -123. What is the greatest common factor of n and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540663 is divided by 270187.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + g = 19, 3*g - 49 - 38 = -5*i. Calculate the smallest common multiple of 3 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -38*j + 4. Let w(i) = 39*i - 5. Suppose -31 = 2*x - 39. What is x*w(f) + 5*p(f)?\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (3 - (-12 - -4)) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111011101000 + 11?\nAnswer: 101001111011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12318 + -12314. Let y be 1 + -6 + -1 + 2. Put y, r, 0, 7 in decreasing order.\nAnswer: 7, r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by 11343.\nAnswer: 148\/3781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62653 + -6?\nAnswer: -62662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/42 and -37\/3951710.\nAnswer: 11855130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119\/4 or 220750\/3?\nAnswer: 220750\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - 6 - (-9 - (11 + (-58 - -71)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10323 by 3441.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 59.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 5*l + 72 = 0. Calculate the greatest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6*r + 5*s - 41 = 0, 2*r = -5*s + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117 - -2107272?\nAnswer: 2107389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/60*27\/3. Suppose 5*o - 16 = -d - d, -3*d - 3*o + j = 0. Sort 2, -1, -183, d in increasing order.\nAnswer: -183, d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12667760 rounded to the nearest 10000?\nAnswer: -12670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(6\/(-8)). Let g(q) = 13*q**2 + 1549*q + 3283. Let o be g(-117). Solve -3*m + 1 = o, -3*m - 4 = t*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5)*(-o + 0*o + 4*o + (-1 + 1 + 2*o)*(-3 - 5 + 4))*(4 - 16*o + 5*o + 7*o).\nAnswer: 100*o**2 - 100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzam when four letters picked without replacement from {a: 1, z: 1, i: 1, w: 1, m: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + (20 - 26 - -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 4*u = 44, -4*u = -4*l - 2 + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300))*1*-6)**2 + 6*(sqrt(300) + 3*(sqrt(300) + 2)**2 - sqrt(300)).\nAnswer: 720*sqrt(3) + 16272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-3) + (-10)\/15. Let y = 31 + k. Calculate the greatest common factor of y and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5108142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 12 = -0*z - 4*z, 0 = 4*z - m - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.92 times 246?\nAnswer: -6622.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from tdtnontqqpn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457 - 448.77. Let t = -8 + f. Let p = t + -0.65. What is p rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -26*h**2 - 1\/60*h**5 - 5\/6*h**3 + 3\/8*h**4 + 0 + 0*h. What is p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*w - 174 - 174, -4*i - 5*w = -350. Let c = -63 - -93. Suppose -c = -5*g + 10. Calculate the smallest common multiple of i and g.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*l = 300*l + 88 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21*(-917895)\/11126?\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 15}. Give prob of picking 2 o.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 10*f = 0. Suppose -3*m = -m - 4*p - 6, -p + 2 = f. Suppose 26 = m*j - 9. Calculate the greatest common factor of j and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 37 = -i. What are the prime factors of i + 3\/(3 + -4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 63378.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v - 1232 = -297 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5 + 19. Let o = -6 + b. Does 8 divide 8\/(-3 - (-7)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4*z = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 8*k + k + 6*k - 34 + 43.\nAnswer: -2*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/6)\/((-2)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*27\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35166?\nAnswer: 2, 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2 + u - 58. Determine r(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 5 (c) 25\/3 (d) 0.5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1476593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + 0 + (-39 - -34) - 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27928 and 2088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) + -1*(-663)\/91?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30896.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 35 = -4*z, 10*h + 75 = 5*z + 5*h. Solve -o = -3*o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 = -5. Suppose 3*r + t = -0*r + 10, -d = -2*r - 3*t. Suppose -3*h + 10 = -5*h, 0 = 3*x + 4*h + 8. What is the remainder when x is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 18 = 3*l - 3, -c = -5*l - 25. Let u(y) = 4*y + 1. Let i be u(2). Let a = l + i. Solve -4*q = -0*n + 5*n + 12, -a*q + 12 = -n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3105 + 930 + 2*h**2 + 510 + 1059.\nAnswer: 2*h**2 - 606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007470906 rounded to 5 dps?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/3 (c) 1592\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*-1*sqrt(3025) + sqrt(3025)))\/((2*sqrt(200))\/(sqrt(110)\/(sqrt(11)*1)))*-4.\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -658.4 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o - 15. Is l(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*c - 4*a, -2*a = c + 3*c - 6. Suppose -7*n - c = -8*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9*l**3 + 1 + 2*l**4 + l**4 - 2*l**3 to the form q*l**2 + c*l**4 + i + g*l + v*l**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/180, 19\/2.\nAnswer: -1\/180, 0.3, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218 - -1122\/5. Let u = y + -298\/45. Which is the second smallest value? (a) 2 (b) u (c) -41 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.059 + -30.059. Are 3083 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 52 - ((-1 + -1 - -8) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(68)*2 + -5)**2 + (6*4*sqrt(68)*-3)**2)*-2.\nAnswer: -705666 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8*w - 4*w + 14, 5*w + x = 0. Let a = 7012141\/63 - 111309. Let h = a - -44\/9. Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9539, 9542, 9545?\nAnswer: 9548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21448 is divided by 188?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Suppose -1697 = -4*f - f + 4*k, 4*k = i*f - 674. Let o = -142 + f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -11. Let j = 12 - v. Which is the third smallest value? (a) 5 (b) j (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u - 41. Is 14 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*a**3 + 297*a**3 - 910*a**3 + 289*a**3.\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqlqllqqqqqqqqqll. Give prob of sequence ll.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5 (c) -5 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 1780 = -o. List the prime factors of o.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0 + -348?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {s: 2, p: 3, o: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/8 of a gram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 15, -l + 3*l = -4*w + 54. Let g = l - 4. What is the greatest common divisor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4409300 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 2*x + 152. What are the prime factors of k(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (0 - (4 + -3)). Let c(w) be the second derivative of -1\/90*w**5 + 1\/54*w**4 - 1\/9*w**2 + 0 - 2*w + 1\/27*w**i. Solve c(u) = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 28 = -4*n, 3*q - 30 = -2*n - 26. Let s(f) = -3*f**2 + 2*f + 2. Let x(o) = -14*o**2 + 8*o + 8. Let j(u) = q*x(u) + 9*s(u). Give j(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 277 and 284 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 3}. What is prob of sequence qy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -19.009. Let x = -0.131 - z. Round x to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 657, -3, -0.5 in descending order.\nAnswer: 657, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let u = -57 - -61. Let c(p) = 19*p**2 - 3*p - 84. Let b(q) = u*m(q) + c(q). What is the first derivative of b(t) wrt t?\nAnswer: 38*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149513074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -7*i + 2*p + 37, -i - 4*p = 0. Which is the closest to -0.1? (a) -0.04 (b) 3 (c) i (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104730 is divided by 955.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040279 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-13.222.\nAnswer: -26.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.97 + -7. Let l = t - -1.03. What is the second smallest value in 1\/4, -0.4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*l**2 - 1586*l**2 + 0 + 0 - 2*l**3.\nAnswer: -2*l**3 - 2412*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(sqrt(2057) + -2))**2.\nAnswer: -1100*sqrt(17) + 51525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a43 (base 16) in base 9?\nAnswer: -53487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 20*b = -l + 1, -4*l + 29*b + 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879208?\nAnswer: 2, 467, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 4*d - 77 + 48, -2*d = 3*i + 446 - 441 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/42403? (a) 0.2 (b) 3 (c) 8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.072 * 3168134\nAnswer: 228105.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832 (base 9) in base 13?\nAnswer: 13c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 3*c + 4. Let k be g(5). Suppose -b - 86 = -4*p, 5*p - 344 = 3*b + b. Let z = b - k. Solve -2*f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -5, -7\/3, 548, 0.2 in descending order.\nAnswer: 548, 0.2, -1\/3, -7\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1195 divided by -1195\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -54037994 to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67259822 is divided by 61?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -3\/8, -140, 0, -0.2 in increasing order.\nAnswer: -140, -4\/3, -3\/8, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 108 = 5*f, 2*d - 4*f = -2*f + 120. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 23*o - 3. Let c be z(4). Suppose 2*s + b - 37 = 0, 5*b + 0*b = -4*s + c. Suppose -8*t + 10*t = s. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780837257 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 6*q = -5. Let p = 102 - 715\/7. Is p >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 21 = -8*i. Solve i*x + 12 = 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r - 12731 + 6362 + 6371.\nAnswer: 29*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/3 - 10*v**2 - 15*v - 15. Let d be x(-17). What is the highest common factor of 54 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 4*q + 4*y - 19, 7 = -4*q - 5*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730.161 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -263.9 (b) 2\/9 (c) -0.03 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 6*q**2 - 4*q**2)*(-3 + 3 + 2*q**2) - 4 - 2*q**4 + 4 + 0 + 2*q**4 + 0 + (-2*q - q + 2*q)*(0*q**3 - 3*q**3 + q**3).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -6\/13 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0. Suppose -5*k - 20*d - 15 = 0, -k + 44*d - 40*d + 13 = 0. What is the second smallest value in x, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1, -2\/615, 6\/13, 1\/31?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 48. Let y(n) = n**2 - 12*n - 13. Let b be y(r). Let s = -9 - b. Solve s*x - 3*k = -35, -2*x - 3*x = k + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528, -1366, -2420, -3690, -5176?\nAnswer: -6878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**3 + 15*h + 0*h**2 + 17\/12*h**4 + 1\/14*h**7 + 0 + 0*h**5 + 0*h**6. What is the third derivative of c(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83044352 divided by -451328\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20424 divided by -17.\nAnswer: -20424\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-65)\/(-1300))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 + 3*m - 2. Suppose -8 = 2*i - 2. What is the tens digit of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-15))\/(10\/12))\/(51*13\/2210)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 204929 from -183.96.\nAnswer: -205112.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2866, 5888, 8936, 12010, 15110, 18236, 21388?\nAnswer: 24566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 748933972 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 22. Let z(u) = 55*u**2 - 16*u. What is z(l(t))?\nAnswer: 220*t**4 + 4872*t**2 + 26972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5976 + 0.4976. What is the nearest to t in -36, 3, -3\/8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12788675 and 4063.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 3*g**2 + 13 + 10 - 29 + 5 to the form h*g + p + s*g**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 102258 = 4*z, 15*x - 20*x = 3*z - 76676. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 less than or equal to 18725\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + -1*((sqrt(396) + -2 - sqrt(396)) + 4))*-6*-3)**2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**7\/1050 - v**6\/300 + v**5\/300 + v**4\/60 + 13*v**2 + 19*v. Let c(q) be the first derivative of m(q). Factor c(r).\nAnswer: -r*(r - 1)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21124\/9 - -2343. Let a be (6\/(-696))\/(2\/68). Let t = -1307\/290 + a. What is the common denominator of t and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -159*r + 597. Calculate z(5).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -19 (b) 2465 (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 7*a + 6. Let v = 12 + -20. Let w be d(v). Is 1 + (w - -166 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than 36757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 6*p + 3 + 5*p**2 - 2*p**2. Let x = -1 - -5. Is a(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 - 5*z + 2. Let u = -4 - 2. Let d be n(u). Suppose 0*i = 2*i - d. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 11, d: 1}. What is prob of sequence weew?\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 38*w**2 + 25*w - 24. Let g be j(12). Is g equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -83. Let b(x) be the third derivative of 5\/8*x**5 + 3*x**2 + x**h - 5\/4*x**4 + 0 + 0*x. Determine u, given that b(u) = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896467 is divided by 1734.\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {d: 1, p: 1, r: 5, q: 1, g: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, -358, 4\/55 in decreasing order.\nAnswer: 4\/55, -1\/5, -5, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -61\/1210?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 + 3*p + 6. Let q(o) = -6*o**2 - 2*o - 5. Let n = 1386 - 1380. Give n*q(b) + 5*f(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)\/j**7*(j*j\/((j*j**(-3))\/j)*j)\/j*(j*j*(j**3\/j)\/j)\/j)\/((j**2)**(-31)*(j**2)**(-31)) assuming j is positive.\nAnswer: j**(745\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 639*w**3 - 209593*w**2 + 1234876*w - 1932 = 0. Calculate w.\nAnswer: 1\/639, 6, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 21410971.97 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = -5*x + 74, x + 4*u - 29 = 0. Let p(h) = 2*h - 3. Let i be p(5). Let l = x - i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 98642876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6*(-9 - (-345)\/40)*-72. Sort 3, -2, a, -3, 0 in ascending order.\nAnswer: -3, -2, 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266 - 264. Let d(s) be the first derivative of -8*s**x - 10\/3*s**3 + 2 - 1\/2*s**4 - 8*s. Let d(a) = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-1*-2 + sqrt(576))\/sqrt(12).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 313084567 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/40 and (-1785)\/240*-4*(-1)\/(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000303982 to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -12)\/(2\/(-3)). Suppose 12 = -3*g + v*g. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 16*x + i = 66, x + 2*i = 39. Solve -29*r - 10 = -x*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {l: 2, k: 6, s: 1, r: 1, b: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 560880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {y: 1, t: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*n = -28860, 8806 = 2*c - n - 2738. Let f = c + -3849. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (6 + -11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1180.9339 - -1181. What is s rounded to 3 decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - 54. Suppose 0*b - 6*b = -n. Let m(y) = -5*y**2 + 2*y + 2. Let v(s) = 4*s**2 - s - 2. Determine b*v(l) + 2*m(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(80)*4 - sqrt(320)\/sqrt(4)).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*m - 18 = 0, -2*m - m + 6 = 5*n. Solve z = s - 6, -6*s = -3*s + 2*z - n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.523845 millilitres in litres?\nAnswer: 0.003523845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 18 + 42 - 10 + l + 6*l**2 - 14 to the form m*l**3 + y*l + w*l**4 + h + o*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(0 + 4) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 14*u**3 + 12*u - 17*u**2 - 20 + 6. Let j(a) = -a**3 - a**2 + a - 1. Determine g(d) - 12*j(d).\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 + 1. Let d(x) = -3*x**3 + 186*x**2 + 1. What is -d(k) - 2*u(k)?\nAnswer: k**3 - 190*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*i - 52*i - 912 = -93*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 819217070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 - (0 + (-2 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (718*q + 495*q + 1695*q)*(-q**2 - q**2 + 4*q**2) to the form p*q**2 + a*q**3 + s + b*q and give a.\nAnswer: 5816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3469 - -3475. Solve 41*a - y + 170 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 + -3)) + -2 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55633422 to two dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let n be 143\/(-65) + (3 - 1). What is the closest to x in 0.5, 0.3, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119213953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550276 divided by -2.\nAnswer: -275138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -824998*l + 8. Let t be j(-4). Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyty when four letters picked without replacement from tttdyyyyd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222 - 564. Let n be 9\/(63\/(-49)) + p\/(-48). Determine i, given that -n*i**3 - 3\/8*i - 1\/2*i**2 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42999 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 53*o - 55. Let a be k(-60). Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/12 - 11*d**3\/6 + 5*d**2 + 90*d + 11. Calculate a(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.42 (b) 4\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 13*p - 7. Let l(k) be the third derivative of -k**6\/120 + k**5\/30 + k**3\/3 - 5*k**2. Let t be l(3). Is a(t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2633 (base 8) to base 11\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {o: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**3 + 0 + 0*k**2 + 6*k - 1\/2*k**4 + 3\/20*k**5. Find the third derivative of o(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.9, -1\/4, 0.0985, 1\/4 in descending order.\nAnswer: 0.9, 1\/4, 0.0985, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 4*q**2 - 2*q + 1. Let v be a(-2). Suppose 5*y = 2*y + 5*o + 810, -4*y = 3*o - 1109. Suppose -y = -0*w - v*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.34 + -0.34. Let n = 10 - u. Let y = 19\/12 - 1\/12. What is the second smallest value in -3, n, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0547 and 1.7.\nAnswer: 1.7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2125010 - -10043?\nAnswer: 2135053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 21853*s + 21854.\nAnswer: -(s - 21854)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1021*v**3 + 2. Let i(f) = -4708850*f**3 + 9225. Calculate 4*i(b) - 18450*m(b).\nAnswer: 2050*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 12 = -54681*m + 54674*m, -4*h - 4 = 8*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.33 + 44.33. Sort q, 11, 3\/5, -1, 4\/7.\nAnswer: q, -1, 4\/7, 3\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.15? (a) 0.4 (b) 1\/9 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 2*h - 176. Solve -3*x - x = h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + -1 + 12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/85 in 4\/15, 16, -4?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n**2 + 11*n**2 + 9*n**2 + 0 + 4. Let i(o) = 4*o**2 - o + 9. Give 2*i(w) - 5*r(w).\nAnswer: -2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 7, 9, -1.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 3*w + 7. What are the prime factors of j(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 + (-34 - -50) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/11 and 2\/757.\nAnswer: 8327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.130288772887 - -34982.729714837113. Let r = 34985.64 - j. Let t = r + 0.22. What is t rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 1. Let s(r) = 16*r - 10. Let a(f) = -6*b(f) + s(f). What is a(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -1632\nAnswer: -22848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1608 + 2016 = 4*x. Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -59. Solve 4 = t - m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 0.1495.\nAnswer: 0.3495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 188950, 755282, 1699170, 3020614, 4719614, 6796170?\n\"Answer: 188778*y**2 - 2*y + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 9. Let w be j(-7). Let m be 2\/((5\/2)\/w). Suppose 2*a + 2*a - m = 0. Is a equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4214639 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -107, -843, -2873, -6857, -13455, -23327?\n\"Answer: -110*w**3 + 13*w**2 - 5*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1812 and 9387.3.\nAnswer: 17009787.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003887203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 1109*n + 2212*n - 1104*n + 24, -5*z - 37 = -3*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/14 - 42\/147.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-1)\/25). Let n be 4\/10 + 596\/m. Suppose 4*u = -0*u + n. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2\/9, 0.06, -1.1, 1, 1\/5.\nAnswer: -9, -1.1, 0.06, 1\/5, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/135 and -34\/315.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-26) - (-2805)\/65. Let c = m + -1. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*s + y, -5*s - 3*y + 18 + 22 = 0. Let n(v) = 0*v - 2*v - s*v - 2*v. Let w(d) = -36*d**2. Calculate n(w(q)).\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26833 in -3\/2, -3\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 107550406 and -3.485972.\nAnswer: 107550402.514028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*d - 3623 + 6887 = -4601 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123656, -247322, -370988, -494654?\nAnswer: -618320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 + 5 = 0. Suppose 8 = 4*n, -2*n + 116 = v*c + 2*n. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-76)\/(-14))\/((-189)\/(-1323)))\/((-10)\/(-15)*-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Suppose 6 + 9 = -3*h. Let d(j) = -39*j. Let x(m) = -58*m. Let w(a) = h*x(a) + 7*d(a). Determine w(v(l)).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - c + 21 = 22, 2*b + 2*c = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h = -3*v + 28, 0 = 2*v - 4*h + 8. Suppose -v*j = -7*j + 1257. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mikimtmllkiiilmmm. Give prob of picking 3 i and 1 k.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1395 = 12*p. Let m = 92 + p. Let k(t) = t. Let u(o) be the first derivative of 7*o**2\/2 + 5. Calculate m*u(g) + 4*k(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 16*z**2 - 9*z + 4. What is v(-16)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 8*u + 3. What is the tens digit of z(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2391 at most -2393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18767, -36540, -53283, -68996, -83679, -97332?\n\"Answer: 515*t**2 - 19318*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -21*u + 0 + 0*u**3 - 1\/12*u**4 + 0*u**2. Let r(p) = 15*p. What is r(j(d))?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -97464, -389650, -876550, -1558152, -2434444?\n\"Answer: 2*s**3 - 97369*s**2 - 93*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 2*c**3 + 2*c**3)*(-16*c**2 + 5 + 4*c + 16 - 22).\nAnswer: -16*c**5 + 4*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.533895? (a) -3 (b) 0 (c) -4 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:41 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 4, v: 2}. What is prob of picking 2 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238 + 70*i + 467 - 343 + (0 - 2 + 1)*(-3*i - 3*i + 5*i) to p*i + m and give m.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 3*j**2 + 5*j + 3. Let d(r) = -3*r**3 + 6*r**2 + 11*r + 6. Let m(l) = 2*d(l) - 5*p(l). Calculate the remainder when 99 is divided by m(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-10))\/3*((-6875)\/(-50))\/(-55).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 618 - 4330\/7. Which is the closest to -0.1? (a) -2\/9 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(704) - (sqrt(704) - (1 + sqrt(704)) - sqrt(704)))**2*-4 + sqrt(704))*5.\nAnswer: 600*sqrt(11) + 56340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1 - 3 + 1 + 1 + (2 + 0 - 3)*(4 - 1 - 1) - 2 - 2 + 3 + 2 + 2 - 3 - 1 + 3 - 3 - 2 + 5 - 4 + 1 + 2 - 2 - 4 - 5 + 5)*(h - 2*h + 0*h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose l + 21 = -a*l. Let q = -1322 + 1316. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29940 or -29947?\nAnswer: -29947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-15)*(-1270)\/(-381)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-2*2*sqrt(132)*-1)\/((sqrt(12) + sqrt(108))*-6 - -1*sqrt(432)).\nAnswer: 4*sqrt(11)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-3 + 22 - 10) + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 49 + 42 - 53 + 13*u. Let m be s(-20). Calculate the highest common factor of 32 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -896814 divided by 6?\nAnswer: -149469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 4. Let r(z) = -161*z. Calculate r(n(k)).\nAnswer: 161*k - 644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40006 is divided by 1176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 39104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(60)\/(sqrt(5) - 3*sqrt(5))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112424 is divided by 10834?\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-48)*16\/(-12). Which is the third smallest value? (a) -3\/2 (b) -5\/4 (c) w (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-8 - -3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 12:14 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 30, 3 - 24 = 4*d - 5*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + 0 - -11. Suppose 57 = -16*n + 89. Suppose -4*r - n = -a. Put -3, 5, r in increasing order.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*b, 4*b + 2 = 2*c + 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2403706 and 698.\nAnswer: -2403008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-77.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -17*t**2 - 3*t + 13. Let a(h) = -6*h**2 - h + 4. What is -11*a(f) + 4*b(f)?\nAnswer: -2*f**2 - f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/100 + (180\/8)\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 921\/6*-4*-4. Is (12\/24)\/(2\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-3*b + 3*b + 3*b)*(375 - 375 - 454*b).\nAnswer: 2724*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2445334, 9781365, 22008074, 39125455, 61133502?\nAnswer: 88032209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0129 and -14783801166?\nAnswer: 14783801166.0129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1045?\nAnswer: 522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670 divided by 2572?\nAnswer: 1335\/1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52538, -105705, -158874, -212045, -265218, -318393?\n\"Answer: -l**2 - 53164*l + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484142, -968333, -1452526, -1936721, -2420918, -2905117?\nAnswer: -3389318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -18. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {s: 1, o: 2, g: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*b = -425, 0 = -2*g - 4*b - 0*b + 790. Suppose 3*x + g = 4*y, 5 = -2*x + 3*x. Let p = 554 - y. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = -16. Let a be ((-1 + 1)\/3)\/2. Let l = 185 - 185.2. Sort w, a, l.\nAnswer: w, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + 3*x + 2. Let h be f(-2). Let z(g) = g - 5. Let t be z(h). Let k = -139 + 127. Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4019988 and 2190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, j: 11}. Give prob of sequence dddj.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/5 + 2*h**4\/5 + 62*h**3\/5 + 22*h**2\/5 - 516*h\/5 - 144 = 0.\nAnswer: -3, -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2453 (b) -3\/11 (c) 2\/5 (d) 3 (e) -2\/5 (f) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:26 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92.69 in 3, -0.1, -3, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275800 divided by -13790.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-16)*n)**(1\/27)\/(n**15)**(8\/13) assuming n is positive.\nAnswer: n**(-3422\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448307979 to the nearest integer?\nAnswer: 21173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 39*c + 377 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -951*a + 3084*a + 47 - 102 + 55 in the form d + x*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 37.\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - (-7 + 4)) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3 (c) -25\/4 (d) -272\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -5654 in decreasing order.\nAnswer: 5, 0, -5654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -1\/4*r**4 + 7\/3*r**3 + 7 + 0*r + 0*r**2. Find the third derivative of v(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2, -36, 1 in increasing order.\nAnswer: -36, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-2)\/(-5) + (-247)\/(-95).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q - 6. Let d(z) = -6*z + 4. Calculate -8*d(j) - 5*t(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -50144?\nAnswer: 50141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -90622.\nAnswer: -45311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-4 - 3 - 3)*(-5*d + d + 2*d).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 692 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232302 + -10?\nAnswer: 232242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126938023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 86. Let j be n\/(-7)*(-6 - -3). Solve -j*o - 15 = -0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 7)\/(1\/3). Let z be 4 + -6 - (-16)\/x. Factor -2*y**5 + 14\/3*y**4 + 0*y + 2\/3*y**2 - z*y**3 + 0.\nAnswer: -2*y**2*(y - 1)**2*(3*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**2 - 1. Let w be x(-1). Let s be 9\/(-21) - 17\/(-7). Is 2*(105\/w - s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/576334 and -15\/2057?\nAnswer: 6339674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -123902152 minus 113?\nAnswer: -123902265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 6 = -3*z, 0 = 5*z + 4*r - 18. Solve 5*b + q + z = b, 4*b + 2 = q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3520)*-1*-3)\/(-4*sqrt(891)*-2 - sqrt(891)*1*2).\nAnswer: -8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 61266236*m**2\/3 - 245064920*m\/3 + 81688304.\nAnswer: -2*(m - 30633114)*(m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 41. Let p(v) = 5*v**2 - 4*v. Let m(r) = -r**2 + 1. Let w(o) = i*p(o) - 6*m(o). What is w(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 3*i - 40. Give g(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -80)*(0 - 3 - -4). Suppose -11*b - t = -17. Are b and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -25. Let u = 21 + m. Let q = -2222 - -2234. Calculate the remainder when q is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -k. Let p(l) = -2*l + l - k*l. Let r(c) = c. Give p(r(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2026 - -1245?\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.717893 litres?\nAnswer: 5717.893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5.15 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5401*s + 648119. Calculate n(120).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -480, -479, -478, -477, -476?\n\"Answer: x - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3 + 32)*(2*h - 5*h + 4*h + 5).\nAnswer: 16*h + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 19. Solve k*g - 5*x + 13 - 32 = 0, 5*g + x = 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*z = 45303, 0*z - 4*z = -5*u + 75504. What is u rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7072, 5.\nAnswer: 1, 5, 7072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, u: 1, m: 1, r: 1}. Give prob of sequence nu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + x - 407. Let k(h) = 1723*h. What is o(k(j))?\nAnswer: 5937458*j**2 + 1723*j - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12378\/(-12) + 7)\/(1\/(-10)). Suppose -2037 = 2*r - 3*r - 4*v, -5*r - 5*v + a = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (669*z**2 + 4823*z**2 + 22 - 22)*(-4*z**2 - z**2 + 7*z**2).\nAnswer: 10984*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 4. Let a be (-1 + 4)\/s*-6. Let j be 0 + a + -5 - -2. Solve -2*o + 15 = 3*i, 4*i = -j*o + o + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 189166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-26*g - 15*g + 7*g)*(-6 + 5 + 2).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyeu when four letters picked without replacement from uyuyuyutyheutuu?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + t = -12. Suppose 4 = -h + t*l + 2*l, -3*l = 5*h - 3. Suppose -2*r - b = 7 - h, -2*b = -4*r - 18. Let p(z) = -z + 3. Determine p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 2*v + 7. Suppose 867 = 34*o - 187. What is the remainder when h(-6) is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 + -212. Solve 2*o = s*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-3)\/(-2))*0. Let c = 5 + 0. Suppose -297*v + 578*v = 328*v - 705. Solve h*u - c*u = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149909\/20 + 7493. What is the common denominator of -1\/96 and r?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5 - 7 + 9 - o**3 - o**2 - 4*o**2 - 4*o. Let y be u(-4). Sort -2, y, 0 in decreasing order.\nAnswer: 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w + 56*w + 61*w + 57*w - 233*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2982 and 17324.\nAnswer: 363804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17277 and -4?\nAnswer: -69108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -6, 905, 1, 4 in increasing order.\nAnswer: -13, -6, 1, 4, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 26557.\nAnswer: 7967.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2*k**2 + k**2 - 2*k**2) - 232 + 232 - 16*k**2 + (-2*k**2 + 0*k**2 + 0*k**2)*(1 + 2 - 4) - k**2 - k + k.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103999*d - 103999*d - 317*d**3.\nAnswer: -317*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 5*g - 4 + 13, q - 7 = 4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 5 (c) 3\/8 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126.093 - 126. Let l = -0.207 - o. Sort -3, 2\/5, l, 5 in descending order.\nAnswer: 5, 2\/5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuub when four letters picked without replacement from ffguaabhaahbufbg?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 6*h + 0*h - 11*h.\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/3 - 48. Let q(z) = 14*z**2. Give j(q(i)).\nAnswer: 196*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h + 28 = 296. Solve -5*u + h*q - 23 = 0, 2*u = -5*q + 2*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*t - 16 = 0, y - 3 - 9 = -2*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -69. Solve m*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 7. Let b(w) = 5*w - 14. Determine -3*b(h) - 5*x(h).\nAnswer: -5*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 - 24*q**3 - 33*q**2 + 54*q = 0. What is q?\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 23100*x - 717\/4*x**3 + 6000 - 3555*x**2.\nAnswer: -3*(x + 20)**3*(4*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**5*w)\/(w**(1\/2)\/w))**(-32\/5))**(-40) assuming w is positive.\nAnswer: w**1664","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/96)\/(276\/144)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2b9 (base 12) to base 15.\nAnswer: 1d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*n**2 + 3 - 1)*(-2 + 2 + 2) + 16*n**2 + 30*n**2 - 10*n**2 + (-4 + 3 - 1)*(-5*n**2 + 2*n**2 + n**2) + 2 + n**2 - 2.\nAnswer: 49*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 14 = 374. Let j be -2 + -2 - x\/(-10). Let a be (-12)\/(-24)*(-123 + j). What is a rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 3. Let x be 1\/((-3)\/12) - 80\/(-10). Suppose 3 = -2*o - x*j + 19, -2*j - 22 = -2*o. What is the smallest common multiple of n(3) and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 - 93. Let i = x - 98. Which is the closest to 2\/5? (a) -1\/11 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7562\/7 + -1080. Which is smaller: k or -18\/19?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -0.39, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxp when three letters picked without replacement from xobpoopopobbooxpo?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -39 + -2 + (-1 - -2). Let r be (-2 - -1)*(19 - -2). Let m = r - p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 114\/(-4)*(-3 + (-14)\/2). Suppose 4*w + j + 383 = 0. Let o = 405 + w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2984, -2719, -2354, -1889, -1324, -659, 106?\n\"Answer: 50*r**2 + 115*r - 3149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -34*f - 176. Let i be a(-5). Let q(z) = z**3 + 5*z**2 - 4*z - 6. Calculate q(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650797249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.13 - -0.13. Let z = 11 + g. Let m be 2\/9 + (-96)\/189. Which is the nearest to 0? (a) z (b) m (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-5)\/((-20)\/(-18))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 - 32190*w**3 - 129540602*w**2 - 129444042*w + 259016836 = 0.\nAnswer: -8047, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -13*r**4\/4 - r**2\/2 - 31*r. Differentiate b(g) with respect to g.\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -23*r - 7*w - 31, 5*r - 18*w + 8*w + 7*w = -16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11798 is divided by 3869.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 243*c**3 - 267*c**3 + 10*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132832645*i**2*n**2 + 2*i**2*n - 4*n**2 - 2*n - 2063043 wrt i.\nAnswer: 265665290*i*n**2 + 4*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -247130 + -1?\nAnswer: -247131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22118 - 0?\nAnswer: -22118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 14*f**2 + 598*f - 3330. What is d(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2149 - -2213. Calculate the lowest common multiple of b and ((-10)\/(-3))\/((-1)\/(-3)).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -65, -1, 2, -4, 0, 22 in descending order.\nAnswer: 22, 7, 2, 0, -1, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let i(a) = -1127*a**2 + 18*a. What is i(r(p))?\nAnswer: -4508*p**4 + 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 10098600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*j - 75. Let h be 3 - 930\/j - 1. Which is bigger: h or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 12 + 4 - 2*s)*(4*s**3 + 5*s**3 - 3*s**3) to f*s + k*s**2 + w*s**4 + c + o*s**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 257?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38116665157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1514*f - 1505*f + 4444*f = 1512*f - 10614 for f.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 22*c - 68. Let x(r) = 5*r**2 + 17*r - 68. Let f(i) = -7*k(i) + 6*x(i). Differentiate f(u) with respect to u.\nAnswer: 4*u - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j**3 - j)*(13 + 0 + 0)*(244 - 244 + 18*j).\nAnswer: -468*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -592*w**3 - 3 + 582*w**3 + 4*w**2 + 1 to z*w**2 + n + h*w + u*w**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5011, 6\/7 in descending order.\nAnswer: 5011, 6\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 14939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 * -13684\nAnswer: -342.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*k - 12 = 0, -m + k + 4*k + 3 = 0. Suppose i = 4*s - 14, -4*i + 6 = -7*i + m*s. Is 6\/(-4) - (-1273)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153497363*w**2 - w - 361425292?\nAnswer: -306994726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 2. Let t be k(-7). Suppose -19*c = -31 - 45. Let l(m) = 19*m - 7. Let d be l(c). What is the greatest common factor of t and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -36, 3, -1, 19 in descending order.\nAnswer: 19, 5, 3, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-524)\/(-5))\/2)\/(1\/15). Suppose 2*b + p = 3*l, -2*b + 4*b - 1326 = -5*l. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*i + 598 + 299, 2*q = 6. Suppose 159 = 3*p - i. Differentiate -4*u**3 - 2*u**3 - u**3 + p - 114 wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2665 = 2595. Suppose 0*z = 4*z - 12. Calculate the remainder when r is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/6325 in 4, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0181 + -0.2129. Let j = 0.331 + o. What is the third biggest value in j, -1\/2, 1\/5, -5\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4525649156 a multiple of 2486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-15960)*-285*28*2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - m + m + (2*m - 2*m + m)*(-1 - 2*m**2 + 1) + m**2 + 2*m**2 - 16*m**3 - 4*m**2.\nAnswer: -20*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6 + 29306866*x**4 - 499051*x**2?\nAnswer: -240*x**3 + 703364784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625587 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123486 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u + 2*u - 1 + 4*u. Let b be ((-8)\/(-6))\/(-2) - 1316\/(-84). Suppose -2*s + 7*s = -n - 10, -3*n + b = 0. Give f(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8 and 0.154.\nAnswer: -0.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -66. Let b = i - 42. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - 0.12. Let t = -244.63 - -245. Is t >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -3 - (-792)\/3564*18\/(-8). Solve -19\/2*u**2 + 36*u - 69\/2*u**3 + 47\/2*u**4 - 14 - z*u**5 = 0.\nAnswer: -1, 2\/3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15))**(-23)\/(q**(-23)\/(q\/(q**(4\/9)\/q)*q\/q**3)) assuming q is positive.\nAnswer: q**(3308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 7321984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-6) + (-25361800)\/(-3023625)\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 22.828653 minutes?\nAnswer: 0.38047755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrfjreyredjfrrddfje. What is prob of picking 1 r, 1 e, and 2 j?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/6*((-76)\/10 + 0). Suppose 40*g = n*g - 63. Sort 3, g, 6, -1 in descending order.\nAnswer: 6, 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 - 7 = 0. Suppose -o - 4*z + w = -3*z, 2*z = 5*o - 15. Let u = -2 + 3. Solve -5 = -o*q + u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(1\/(-2)*2). Let v(d) = 124*d + 13. Let i(t) = 301*t + 33. Let k(g) = -5*i(g) + 12*v(g). Let c(l) = -8*l - 4. Calculate s*c(h) + 6*k(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + 2*l**2 - l**2 + (14*l**2 + 137*l**2 + 52*l**2)*(0 + 3 - 4) to the form k*l**2 + s*l + b and give k.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3*1)\/(87\/116). Let r(c) = -23*c + 11. What is the remainder when r(o) is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/7 and -0.001 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 297361533497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 4*y + 2*y**5 + (-4*y**3 + y**3 + 0*y**3)*(-4*y**2 + 11*y**2 - 10*y**2) + y**5 + 0 + 0 - y + y - y**5.\nAnswer: 11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-207) - ((-28)\/(-90))\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*u + 71, -188 = -4*m - 3*u - u. Let l = m - 49. Solve -3 + 5 = l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 48208605.\nAnswer: -1\/16069535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*v - 16, 26*k - 30*k = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649681, -649599, -649537, -649501, -649497, -649531?\nAnswer: -649609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 462 + -482. Let s be (-2 - b\/6)\/(78\/117). Solve 3*z - 5*z - 14 = -3*k, 0 = 4*k + s*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3 and -19\/7859.\nAnswer: 23577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30132233220 (base 4) to base 11\nAnswer: 1935053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-3)\/(-12)*4*3744\/(-576).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155 and 1613150?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -57. Suppose g = 2*n - 3*y + 49 - 18, -32 = n + 4*y. Let v be (1 - -1)*(-1)\/(8\/n). Solve 0 = v*h - 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 53*m + 436. Calculate the smallest common multiple of j(-7) and 273.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5509 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/371 and 87\/9116?\nAnswer: 63812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(108)*-3)\/sqrt(6) - (sqrt(2178) + 0)**2*-2).\nAnswer: -17424 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x + 101. Determine y(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}